-
1
-
-
0011694830
-
Quasi Hopf quantum symmetry in quantum theory
-
G. Mack, V. Schomerus, Quasi Hopf quantum symmetry in quantum theory, Nucl. Phys. B 370 (1992) 185.
-
(1992)
Nucl. Phys. B
, vol.370
, pp. 185
-
-
Mack, G.1
Schomerus, V.2
-
2
-
-
0001121910
-
On the quantum symmetry of the chiral Ising model
-
P. Vecsernyés, On the quantum symmetry of the chiral Ising model, Nucl. Phys. B 415 (1994) 557.
-
(1994)
Nucl. Phys. B
, vol.415
, pp. 557
-
-
Vecsernyés, P.1
-
3
-
-
0011264754
-
Chiral decomposition as a source of quantum symmetry in the Ising model
-
K. Szlachányi, Chiral decomposition as a source of quantum symmetry in the Ising model, Rev. Math. Phys. 6 (1994) 649.
-
(1994)
Rev. Math. Phys
, vol.6
, pp. 649
-
-
Szlachányi, K.1
-
4
-
-
0000004130
-
The quantum symmetry of rational field theories
-
J. Fuchs, The quantum symmetry of rational field theories, Theor. Math. Phys. 98 (1994) 266.
-
(1994)
Theor. Math. Phys
, vol.98
, pp. 266
-
-
Fuchs, J.1
-
5
-
-
0000479168
-
Rational Hopf algebras: Polynomial equations, gauge fixing, and low-dimensional examples
-
hep-th/9402153
-
J. Fuchs, A.Ch. Ganchev, P. Vecsernyés, Rational Hopf algebras: polynomial equations, gauge fixing, and low-dimensional examples, Int. J. Mod. Phys. A 10 (1995) 3431, hep-th/9402153.
-
(1995)
Int. J. Mod. Phys. A
, vol.10
, pp. 3431
-
-
Fuchs, J.1
Ganchev, A.Ch.2
Vecsernyés, P.3
-
6
-
-
0003329622
-
Weak Hopf algebras
-
S. Doplicher (Ed.), International Press, Cambridge
-
K. Szlachányi, Weak Hopf algebras, in: S. Doplicher (Ed.), Operator Theory and Quantum Field Theory, International Press, Cambridge, 1997, p. 46.
-
(1997)
Operator Theory and Quantum Field Theory
, pp. 46
-
-
Szlachányi, K.1
-
7
-
-
0033570847
-
Weak Hopf algebras I: Integral theory and C*-structure
-
G. Böhm, F. Nill, K. Szlachányi, Weak Hopf algebras I: integral theory and C*-structure, J. Algebra 221 (1999) 385.
-
(1999)
J. Algebra
, vol.221
, pp. 385
-
-
Böhm, G.1
Nill, F.2
Szlachányi, K.3
-
8
-
-
0034311674
-
Weak Hopf algebras II: Representation theory, dimensions and the Markov trace
-
G. Böhm, K. Szlachányi, Weak Hopf algebras II: representation theory, dimensions and the Markov trace, J. Algebra 233 (2000) 156.
-
(2000)
J. Algebra
, vol.233
, pp. 156
-
-
Böhm, G.1
Szlachányi, K.2
-
10
-
-
0001697139
-
Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors
-
(notes by S. Goto), in: R. Bhat, G.A. Elliott, P.A. Fillmore (Eds.), American Mathematical Society, Providence
-
A. Ocneanu, Paths on Coxeter diagrams: from Platonic solids and singularities to minimal models and subfactors, (notes by S. Goto), in: R. Bhat, G.A. Elliott, P.A. Fillmore (Eds.), Lectures on Operator Theory, Fields Institute Monographs, Vol. 13, American Mathematical Society, Providence, 1999, p. 243.
-
(1999)
Lectures on Operator Theory, Fields Institute Monographs
, vol.13
, pp. 243
-
-
Ocneanu, A.1
-
11
-
-
0037538026
-
The classification of subgroups of quantum SU (N)
-
A. Ocneanu, The classification of subgroups of quantum SU (N), http://www.cpt.univ-mrs.fr/~coque/Bariloche2000/Bariloche2000/Ocneanu.ps.
-
-
-
Ocneanu, A.1
-
12
-
-
0003523790
-
Quantum Invariants of Knots and 3-Manifolds
-
de Gruyter, New York
-
V.G. Turaev, Quantum Invariants of Knots and 3-Manifolds, de Gruyter, New York, 1994.
-
(1994)
-
-
Turaev, V.G.1
-
13
-
-
0004344237
-
Module categories, weak Hopf algebras and modular invariants
-
math.QA/0111139
-
V. Ostrik, Module categories, weak Hopf algebras and modular invariants, math.QA/0111139.
-
-
-
Ostrik, V.1
-
14
-
-
0000384123
-
Boundary conditions in rational conformal field theories
-
R.E. Behrend, P.A. Pearce, V.B. Petkova, J.-B. Zuber, Boundary conditions in rational conformal field theories, Nucl. Phys. B 579 (2000) 707.
-
(2000)
Nucl. Phys. B
, vol.579
, pp. 707
-
-
Behrend, R.E.1
Pearce, P.A.2
Petkova, V.B.3
Zuber, J.-B.4
-
15
-
-
0035844785
-
The many faces of Ocneanu cells
-
hepth/0101151
-
V.B. Petkova, J.-B. Zuber, The many faces of Ocneanu cells, Nucl. Phys. B 603 (2001) 449, hepth/0101151.
-
(2001)
Nucl. Phys. B
, vol.603
, pp. 449
-
-
Petkova, V.B.1
Zuber, J.-B.2
-
16
-
-
0011354716
-
Conformal boundary conditions and what they teach us
-
Z. Horváth, L. Palla (Eds.), World Scientific, hepth/0103007
-
V.B. Petkova, J.-B. Zuber, Conformal boundary conditions and what they teach us, in: Z. Horváth, L. Palla (Eds.), Non-Perturbative QFT Methods and their Applications, World Scientific, 2001, p. 1, hepth/0103007.
-
(2001)
Non-Perturbative QFT Methods and Their Applications
, pp. 1
-
-
Petkova, V.B.1
Zuber, J.-B.2
-
17
-
-
0037767653
-
Quantum field theories, graphs and quantum algebras
-
hep-th/0108236
-
V.B. Petkova, J.-B. Zuber, Quantum field theories, graphs and quantum algebras, hep-th/0108236.
-
-
-
Petkova, V.B.1
Zuber, J.-B.2
-
18
-
-
0001563052
-
New exceptional modular invariant partition functions for simple Kac-Moody algebras
-
D. Verstegen, New exceptional modular invariant partition functions for simple Kac-Moody algebras, Nucl. Phys. B 346 (1990) 349.
-
(1990)
Nucl. Phys. B
, vol.346
, pp. 349
-
-
Verstegen, D.1
-
19
-
-
0002045461
-
Field identification fixed points in the coset construction
-
Appendix B
-
A.N. Schellekens, S. Yankielowicz, Field identification fixed points in the coset construction, Nucl. Phys. B 334 (1990) 67, Appendix B.
-
(1990)
Nucl. Phys. B
, vol.334
, pp. 67
-
-
Schellekens, A.N.1
Yankielowicz, S.2
-
21
-
-
0037089993
-
Boundary conformal field theory and fusion ring representations
-
T. Gannon, Boundary conformal field theory and fusion ring representations, Nucl. Phys. B 627 (2002) 506.
-
(2002)
Nucl. Phys. B
, vol.627
, pp. 506
-
-
Gannon, T.1
-
22
-
-
0037060902
-
Conformal correlation functions, Frobenius algebras and triangulations
-
J. Fuchs, I. Runkel, C. Schweigert, Conformal correlation functions, Frobenius algebras and triangulations, Nucl. Phys. B 624 (2002) 452.
-
(2002)
Nucl. Phys. B
, vol.624
, pp. 452
-
-
Fuchs, J.1
Runkel, I.2
Schweigert, C.3
-
23
-
-
0003535077
-
Representation Theory of Finite Groups and Associative Algebras
-
Wiley, New York
-
C.W. Curtis, I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1962.
-
(1962)
-
-
Curtis, C.W.1
Reiner, I.2
-
24
-
-
0004010057
-
Noncommutative Algebra
-
Springer, New York
-
B. Farb, R.K. Dennis, Noncommutative Algebra, Springer, New York, 1993.
-
(1993)
-
-
Farb, B.1
Dennis, R.K.2
-
25
-
-
0004280509
-
Categories for the Working Mathematician
-
Springer, New York
-
S. MacLane, Categories for the Working Mathematician, Springer, New York, 1971.
-
(1971)
-
-
MacLane, S.1
-
26
-
-
0011349513
-
-
Quantum Groups, Springer, New York
-
C. Kassel, Quantum Groups, Springer, New York, 1995.
-
(1995)
-
-
Kassel, C.1
-
27
-
-
0001694570
-
Simple currents, modular invariants, and fixed points
-
A.N. Schellekens, S. Yankielowicz, Simple currents, modular invariants, and fixed points, Int. J. Mod. Phys. A 5 (1990) 2903.
-
(1990)
Int. J. Mod. Phys. A
, vol.5
, pp. 2903
-
-
Schellekens, A.N.1
Yankielowicz, S.2
-
28
-
-
0000814470
-
Partition functions, intertwiners and the Coxeter element
-
hep-th/9205040
-
P.E. Dorey, Partition functions, intertwiners and the Coxeter element, Int. J. Mod. Phys. A 8 (1993) 193, hep-th/9205040.
-
(1993)
Int. J. Mod. Phys. A
, vol.8
, pp. 193
-
-
Dorey, P.E.1
-
29
-
-
0042592794
-
Completeness conditions for boundary operators in 2D conformal field theory
-
G. Pradisi, A. Sagnotti, Ya.S. Stanev, Completeness conditions for boundary operators in 2D conformal field theory, Phys. Lett. B 381 (1996) 97.
-
(1996)
Phys. Lett. B
, vol.381
, pp. 97
-
-
Pradisi, G.1
Sagnotti, A.2
Stanev, Ya.S.3
-
30
-
-
0000315315
-
Open descendants in conformal field theory
-
A. Sagnotti, Ya.S. Stanev, Open descendants in conformal field theory, Fortschr. Phys. 44 (1996) 585.
-
(1996)
Fortschr. Phys
, vol.44
, pp. 585
-
-
Sagnotti, A.1
Stanev, Ya.S.2
-
31
-
-
0033174168
-
Modular invariants graphs, and α-induction for nets of subfactors III
-
J. Böckenhauer, D.E. Evans, Modular invariants graphs, and α-induction for nets of subfactors III, Commun. Math. Phys. 205 (1999) 183.
-
(1999)
Commun. Math. Phys
, vol.205
, pp. 183
-
-
Böckenhauer, J.1
Evans, D.E.2
-
34
-
-
0009317592
-
Generalized twisted partition functions
-
V.B. Petkova, J.-B. Zuber, Generalized twisted partition functions, Phys. Lett. B 504 (2001) 157.
-
(2001)
Phys. Lett. B
, vol.504
, pp. 157
-
-
Petkova, V.B.1
Zuber, J.-B.2
-
36
-
-
0038552250
-
Category theory for conformal boundary conditions
-
math.CT/0106050, to appear in Fields Institute Commun
-
J. Fuchs, C. Schweigert, Category theory for conformal boundary conditions, math.CT/0106050, to appear in Fields Institute Commun.
-
-
-
Fuchs, J.1
Schweigert, C.2
-
37
-
-
0011312201
-
Conformal boundary conditions and 3D topological field theory
-
A. Cappelli, G. Mussardo (Eds.), Kluwer hep-th/0110158
-
J. Fuchs, I. Runkel, C. Schweigert, Conformal boundary conditions and 3D topological field theory, in: A. Cappelli, G. Mussardo (Eds.), Statistical Field Theories, Kluwer, 2002, p. 185, hep-th/0110158.
-
(2002)
Statistical Field Theories
, pp. 185
-
-
Fuchs, J.1
Runkel, I.2
Schweigert, C.3
-
39
-
-
0004059103
-
Lectures on Tensor Categories and Modular Functors
-
American Mathematical Society, Providence
-
B. Bakalov, A.A. Kirillov, Lectures on Tensor Categories and Modular Functors, American Mathematical Society, Providence, 2000, http://www.math.sunysb.edu/~kirillov/tensor/tensor.html.
-
(2000)
-
-
Bakalov, B.1
Kirillov, A.A.2
-
40
-
-
0003648007
-
Vertex Operator Algebras and the Monster
-
Academic Press, New York
-
I.B. Frenkel, J. Lepowsky, A. Meurman, Vertex Operator Algebras and the Monster, Academic Press, New York, 1988.
-
(1988)
-
-
Frenkel, I.B.1
Lepowsky, J.2
Meurman, A.3
-
41
-
-
0002668119
-
On axiomatic approaches to vertex operator algebras and modules
-
I.B. Frenkel, Y. Huang, J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Memoirs Am. Math. Soc. 104 (1993) 1.
-
(1993)
Memoirs Am. Math. Soc
, vol.104
, pp. 1
-
-
Frenkel, I.B.1
Huang, Y.2
Lepowsky, J.3
-
42
-
-
0003773883
-
Vertex Algebras for Beginners
-
American Mathematical Society, Providence
-
V.G. Kac, Vertex Algebras for Beginners, American Mathematical Society, Providence, 1996.
-
(1996)
-
-
Kac, V.G.1
-
43
-
-
0000713264
-
Intertwining operator algebras and vertex tensor categories for affine Lie algebras
-
Y.-Z. Huang, J. Lepowsky, Intertwining operator algebras and vertex tensor categories for affine Lie algebras, Duke Math. J. 99 (1999) 113.
-
(1999)
Duke Math. J
, vol.99
, pp. 113
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
44
-
-
84968466254
-
Tensor categories arising from affine Lie algebras I
-
D. Kazhdan, G. Lusztig, Tensor categories arising from affine Lie algebras I, J. Am. Math. Soc. 6 (1993) 905;
-
(1993)
J. Am. Math. Soc
, vol.6
, pp. 905
-
-
Kazhdan, D.1
Lusztig, G.2
-
45
-
-
84968502641
-
Tensor categories arising from affine Lie algebras II
-
D. Kazhdan, G. Lusztig, Tensor categories arising from affine Lie algebras II, J. Am. Math. Soc. 6 (1993) 949;
-
(1993)
J. Am. Math. Soc
, vol.6
, pp. 949
-
-
Kazhdan, D.1
Lusztig, G.2
-
46
-
-
84968516064
-
Tensor categories arising from affine Lie algebras III
-
D. Kazhdan, G. Lusztig, Tensor categories arising from affine Lie algebras III, J. Am. Math. Soc. 7 (1993) 335;
-
(1993)
J. Am. Math. Soc
, vol.7
, pp. 335
-
-
Kazhdan, D.1
Lusztig, G.2
-
47
-
-
84968469508
-
Tensor categories arising from affine Lie algebras IV
-
D. Kazhdan, G. Lusztig, Tensor categories arising from affine Lie algebras IV, J. Am. Math. Soc. 7 (1993) 9383.
-
(1993)
J. Am. Math. Soc
, vol.7
, pp. 9383
-
-
Kazhdan, D.1
Lusztig, G.2
-
48
-
-
0030304011
-
An equivalence of fusion categories
-
M. Finkelberg, An equivalence of fusion categories, Geom. Funct. Anal. 6 (1996) 249.
-
(1996)
Geom. Funct. Anal
, vol.6
, pp. 249
-
-
Finkelberg, M.1
-
49
-
-
0346763470
-
Classical and quantum conformal field theory
-
G. Moore, N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177.
-
(1989)
Commun. Math. Phys
, vol.123
, pp. 177
-
-
Moore, G.1
Seiberg, N.2
-
50
-
-
0001613190
-
Lectures on RCFT
-
H.C. Lee (Ed.), Plenum, New York
-
G. Moore, N. Seiberg, Lectures on RCFT, in: H.C. Lee (Ed.), Physics, Geometry, and Topology, Plenum, New York, 1990, p. 263.
-
(1990)
Physics, Geometry, and Topology
, pp. 263
-
-
Moore, G.1
Seiberg, N.2
-
51
-
-
21444457888
-
Invariants of piecewise-linear 3-manifolds
-
J.W. Barrett, B.W. Westbury, Invariants of piecewise-linear 3-manifolds, Trans. Am. Math. Soc. 348 (1996) 3997.
-
(1996)
Trans. Am. Math. Soc
, vol.348
, pp. 3997
-
-
Barrett, J.W.1
Westbury, B.W.2
-
52
-
-
0038906111
-
The Frobenius-Schur indicator in conformal field theory
-
P. Bantay, The Frobenius-Schur indicator in conformal field theory, Phys. Lett. B 394 (1997) 87.
-
(1997)
Phys. Lett. B
, vol.394
, pp. 87
-
-
Bantay, P.1
-
54
-
-
0000455771
-
Correlation functions and boundary conditions in RCFT and three-dimensional topology
-
G. Felder, J. Fröhlich, J. Fuchs, C. Schweigert, Correlation functions and boundary conditions in RCFT and three-dimensional topology, Compos. Math. 131 (2002) 189.
-
(2002)
Compos. Math
, vol.131
, pp. 189
-
-
Felder, G.1
Fröhlich, J.2
Fuchs, J.3
Schweigert, C.4
-
55
-
-
17844403670
-
Tensor categories
-
q-alg/9501032
-
J. Bernstein, Tensor categories, q-alg/9501032.
-
-
-
Bernstein, J.1
-
56
-
-
0001866244
-
Statistics of fields, the Yang-Baxter equation and the theory of knots and links
-
G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora (Eds.), Plenum, New York
-
J. Fröhlich, Statistics of fields, the Yang-Baxter equation and the theory of knots and links, in: G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora (Eds.), Nonperturbative Quantum Field Theory, Plenum, New York, 1988, p. 71.
-
(1988)
Nonperturbative Quantum Field Theory
, pp. 71
-
-
Fröhlich, J.1
-
57
-
-
0011268560
-
2 and the string idea
-
G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora (Eds.), Plenum, New York
-
2 and the string idea, in: G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora (Eds.), Nonperturbative Quantum Field Theory, Plenum, New York, 1988, p. 529.
-
(1988)
Nonperturbative Quantum Field Theory
, pp. 529
-
-
Schroer, B.1
-
58
-
-
0000440057
-
Superselection sectors with braid group statistics and exchange algebras I: General theory
-
K. Fredenhagen, K.-H. Rehren, B. Schroer, Superselection sectors with braid group statistics and exchange algebras I: general theory, Commun. Math. Phys. 125 (1989) 201.
-
(1989)
Commun. Math. Phys
, vol.125
, pp. 201
-
-
Fredenhagen, K.1
Rehren, K.-H.2
Schroer, B.3
-
59
-
-
0011499562
-
Index of subfactors and statistics of quantum fields I
-
R. Longo, Index of subfactors and statistics of quantum fields I, Commun. Math. Phys. 126 (1989) 217.
-
(1989)
Commun. Math. Phys
, vol.126
, pp. 217
-
-
Longo, R.1
-
60
-
-
4243477085
-
Numerical generation of semisimple tortile categories coming from quantum groups
-
PhD thesis, Virginia Polytechnic Institute
-
I. Bobtcheva, Numerical generation of semisimple tortile categories coming from quantum groups, PhD thesis, Virginia Polytechnic Institute, 1996.
-
(1996)
-
-
Bobtcheva, I.1
-
61
-
-
0011265697
-
Numerical presentations of tortile categories
-
I. Bobtcheva, F. Quinn, Numerical presentations of tortile categories, Contemp. Math. 233 (1999) 45.
-
(1999)
Contemp. Math
, vol.233
, pp. 45
-
-
Bobtcheva, I.1
Quinn, F.2
-
62
-
-
14644388676
-
Quantum field theory and the Jones polynomial
-
E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351.
-
(1989)
Commun. Math. Phys
, vol.121
, pp. 351
-
-
Witten, E.1
-
63
-
-
0001532622
-
Two-dimensional conformal field theory and three-dimensional topology
-
J. Fröhlich, C. King, Two-dimensional conformal field theory and three-dimensional topology, Int. J. Mod. Phys. A 4 (1989) 5321.
-
(1989)
Int. J. Mod. Phys. A
, vol.4
, pp. 5321
-
-
Fröhlich, J.1
King, C.2
-
64
-
-
44949283969
-
The geometry of tensor calculus I
-
A. Joyal, R. Street, The geometry of tensor calculus I, Adv. Math. 88 (1991) 55.
-
(1991)
Adv. Math
, vol.88
, pp. 55
-
-
Joyal, A.1
Street, R.2
-
65
-
-
0000167492
-
Topological field theory
-
D. Birmingham, M. Blau, M. Rakowski, G. Thompson, Topological field theory, Phys. Rep. 209 (1991) 129.
-
(1991)
Phys. Rep
, vol.209
, pp. 129
-
-
Birmingham, D.1
Blau, M.2
Rakowski, M.3
Thompson, G.4
-
66
-
-
0004084332
-
On Witten's 3-manifold invariants
-
preprint
-
K. Walker, On Witten's 3-manifold invariants, http://www.xmission.com/~kwalker/math/, preprint, 1991.
-
(1991)
-
-
Walker, K.1
-
67
-
-
0001857431
-
Topological quantum field theories from generalized 6 j-symbols
-
B. Durhuus, H.P. Jakobsen, R. Nest, Topological quantum field theories from generalized 6 j-symbols, Rev. Math. Phys. 5 (1993) 1.
-
(1993)
Rev. Math. Phys
, vol.5
, pp. 1
-
-
Durhuus, B.1
Jakobsen, H.P.2
Nest, R.3
-
68
-
-
38249002199
-
State sum invariants of three-manifolds: A combinatorial approach to topological quantum field theories
-
M. Karowski, R. Schrader, State sum invariants of three-manifolds: a combinatorial approach to topological quantum field theories, J. Geom. Phys. 11 (1993) 181.
-
(1993)
J. Geom. Phys
, vol.11
, pp. 181
-
-
Karowski, M.1
Schrader, R.2
-
69
-
-
0001388868
-
Structure of topological lattice field theories in three dimensions
-
S.-w. Chung, M. Fukuma, A. Shapere, Structure of topological lattice field theories in three dimensions, Int. J. Mod. Phys. A 9 (1994) 1305.
-
(1994)
Int. J. Mod. Phys. A
, vol.9
, pp. 1305
-
-
Chung, S.-W.1
Fukuma, M.2
Shapere, A.3
-
70
-
-
0003897609
-
Topological Quantum Field Theories from Subfactors
-
Chapman & Hall, Boca Raton
-
V. Kodiyalam, V.S. Sunder, Topological Quantum Field Theories from Subfactors, Chapman & Hall, Boca Raton, 2001.
-
(2001)
-
-
Kodiyalam, V.1
Sunder, V.S.2
-
71
-
-
0003638140
-
Quantum Groups, Quantum Categories and Quantum Field Theory
-
1542, Springer, Berlin
-
J. Fröhlich, T. Kerler, Quantum Groups, Quantum Categories and Quantum Field Theory, in: Springer Lecture Notes in Mathematics, Vol. 1542, Springer, Berlin, 1993.
-
(1993)
Springer Lecture Notes in Mathematics
-
-
Fröhlich, J.1
Kerler, T.2
-
72
-
-
6444235203
-
On superpotentials for D-branes in Gepner models
-
0010
-
I. Brunner, V. Schomerus, On superpotentials for D-branes in Gepner models, J. High Energy Phys. 0010 (2000) 016.
-
(2000)
J. High Energy Phys
, pp. 016
-
-
Brunner, I.1
Schomerus, V.2
-
73
-
-
0001185834
-
Representations of the algebra Uq (sl(2)), q-orthogonal polynomials and invariants of links
-
V.G. Kac (Ed.), World Scientific, Singapore
-
A.N. Kirillov, N.Yu. Reshetikhin, Representations of the algebra Uq (sl(2)), q-orthogonal polynomials and invariants of links, in: V.G. Kac (Ed.), Infinite-dimensional Lie Algebras and Groups, World Scientific, Singapore, 1989, p. 285.
-
(1989)
Infinite-dimensional Lie Algebras and Groups
, pp. 285
-
-
Kirillov, A.N.1
Reshetikhin, N.Yu.2
-
74
-
-
0011312522
-
The crossing matrices ofWZWSU(2) model and minimal models with the quantum 6 j symbols
-
B.-y. Hou, K.-j. Shi, P.Wang, R.-H. Yue, The crossing matrices ofWZWSU(2) model and minimal models with the quantum 6 j symbols, Nucl. Phys. B 345 (1990) 659.
-
(1990)
Nucl. Phys. B
, vol.345
, pp. 659
-
-
Hou, B.-Y.1
Shi, K.-J.2
Wang, P.3
Yue, R.-H.4
-
75
-
-
79951816187
-
Quantum groups and noncommutative geometry
-
available at
-
B. Pareigis, Quantum groups and noncommutative geometry, available at http://www.mathematik.uni-muenchen.de/~pareigis/paℬhft.html .
-
-
-
Pareigis, B.1
-
76
-
-
24544453124
-
Boundary conditions, fusion rules and the Verlinde formula
-
J.L. Cardy, Boundary conditions, fusion rules and the Verlinde formula, Nucl. Phys. B 324 (1989) 581.
-
(1989)
Nucl. Phys. B
, vol.324
, pp. 581
-
-
Cardy, J.L.1
-
77
-
-
0001260978
-
Sewing constraints for conformal field theories on surfaces with boundaries
-
D.C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nucl. Phys. B 372 (1992) 654.
-
(1992)
Nucl. Phys. B
, vol.372
, pp. 654
-
-
Lewellen, D.C.1
-
78
-
-
0033532442
-
Boundary structure constants for the A-series Virasoro minimal models
-
I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nucl. Phys. B 549 (1999) 563.
-
(1999)
Nucl. Phys. B
, vol.549
, pp. 563
-
-
Runkel, I.1
-
79
-
-
0034196037
-
The geometry of WZW branes
-
G. Felder, J. Fröhlich, J. Fuchs, C. Schweigert, The geometry of WZW branes, J. Geom. Phys. 34 (2000) 162.
-
(2000)
J. Geom. Phys
, vol.34
, pp. 162
-
-
Felder, G.1
Fröhlich, J.2
Fuchs, J.3
Schweigert, C.4
-
80
-
-
0034216435
-
K(N)-local duality for finite groups and groupoids
-
N.P. Strickland, K(N)-local duality for finite groups and groupoids, Topology 39 (2000) 733.
-
(2000)
Topology
, vol.39
, pp. 733
-
-
Strickland, N.P.1
-
81
-
-
25044471429
-
From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories
-
math.CT/0111204
-
M. Müger, From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories, math.CT/0111204.
-
-
-
Müger, M.1
-
82
-
-
0000017550
-
Non-additive ring and module theory I: General theory of monoids
-
B. Pareigis, Non-additive ring and module theory I: general theory of monoids, Publ. Math. Debrecen 24 (1977) 189.
-
(1977)
Publ. Math. Debrecen
, vol.24
, pp. 189
-
-
Pareigis, B.1
-
83
-
-
0346405348
-
Braided groups
-
S. Majid, Braided groups, J. Pure Appl. Alg. 86 (1993) 187.
-
(1993)
J. Pure Appl. Alg
, vol.86
, pp. 187
-
-
Majid, S.1
-
84
-
-
0000554574
-
Tangles and Hopf algebras in braided categories
-
V.V. Lyubashenko, Tangles and Hopf algebras in braided categories, J. Pure Appl. Alg. 98 (1995) 245.
-
(1995)
J. Pure Appl. Alg
, vol.98
, pp. 245
-
-
Lyubashenko, V.V.1
-
85
-
-
0001490993
-
On Lie algebras in braided categories
-
Banach Center Publications, Warsaw
-
B. Pareigis, On Lie algebras in braided categories, in: Quantum Groups and Quantum Spaces, in: Banach Center Publications, Vol. 40, Warsaw, 1998, p. 139.
-
(1998)
Quantum Groups and Quantum Spaces
, vol.40
, pp. 139
-
-
Pareigis, B.1
-
86
-
-
0008371895
-
Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
-
1765, Springer, New York
-
T. Kerler, V.V. Lyubashenko, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, in: Springer Lecture Notes in Mathematics, Vol. 1765, Springer, New York, 2001.
-
(2001)
Springer Lecture Notes in Mathematics
-
-
Kerler, T.1
Lyubashenko, V.V.2
-
87
-
-
0000854251
-
Non-Additive Ring and Module Theory IV: The Brauer Group of a Symmetric Monoidal Category
-
Springer, New York
-
B. Pareigis, Non-Additive Ring and Module Theory IV: the Brauer Group of a Symmetric Monoidal Category, in: Springer Lecture Notes in Mathematics, Vol. 549, Springer, New York, 1976.
-
(1976)
Springer Lecture Notes in Mathematics
, vol.549
-
-
Pareigis, B.1
-
88
-
-
0001377294
-
Non-additive ring and module theory III: Morita theorems
-
B. Pareigis, Non-additive ring and module theory III: Morita theorems, Publ. Math. Debrecen 25 (1978) 177.
-
(1978)
Publ. Math. Debrecen
, vol.25
, pp. 177
-
-
Pareigis, B.1
-
89
-
-
0037767656
-
Quantum subgroups and vertex algebras
-
available at
-
A. Wassermann, Quantum subgroups and vertex algebras, available at http://www.msri.org/publications/ln/msri/2000/subfactors/wassermann/1/.
-
-
-
Wassermann, A.1
-
90
-
-
0004341080
-
On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories
-
math.QA/0101219
-
A.A. Kirillov, V. Ostrik, On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories, math.QA/0101219.
-
-
-
Kirillov, A.A.1
Ostrik, V.2
-
91
-
-
21144473669
-
Topological models on the lattice and a remark on string theory cloning
-
C. Bachas, P.M.S. Petropoulos, Topological models on the lattice and a remark on string theory cloning, Commun. Math. Phys. 152 (1993) 191.
-
(1993)
Commun. Math. Phys
, vol.152
, pp. 191
-
-
Bachas, C.1
Petropoulos, P.M.S.2
-
92
-
-
21344482750
-
Lattice topological field theory in two dimensions
-
M. Fukuma, S. Hosono, H. Kawai, Lattice topological field theory in two dimensions, Commun. Math. Phys. 161 (1994) 157.
-
(1994)
Commun. Math. Phys
, vol.161
, pp. 157
-
-
Fukuma, M.1
Hosono, S.2
Kawai, H.3
-
93
-
-
21844519399
-
Classification and construction of unitary topological field theories in two dimensions
-
B. Durhuus, T. Jonsson, Classification and construction of unitary topological field theories in two dimensions, J. Math. Phys. 35 (1994) 5306.
-
(1994)
J. Math. Phys
, vol.35
, pp. 5306
-
-
Durhuus, B.1
Jonsson, T.2
-
94
-
-
0030496076
-
Two-dimensional topological quantum field theories and Frobenius algebras
-
L. Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, J. Knot Theory Ramif. 5 (1996) 569.
-
(1996)
J. Knot Theory Ramif
, vol.5
, pp. 569
-
-
Abrams, L.1
-
95
-
-
0031282750
-
Lattice topological field theory on non-orientable surfaces
-
V. Karimipour, A. Mostafazadeh, Lattice topological field theory on non-orientable surfaces, J. Math. Phys. 38 (1997) 49.
-
(1997)
J. Math. Phys
, vol.38
, pp. 49
-
-
Karimipour, V.1
Mostafazadeh, A.2
-
96
-
-
0000985959
-
Extended chiral algebras and modular invariant partition functions
-
A.N. Schellekens, S. Yankielowicz, Extended chiral algebras and modular invariant partition functions, Nucl. Phys. B 327 (1989) 673.
-
(1989)
Nucl. Phys. B
, vol.327
, pp. 673
-
-
Schellekens, A.N.1
Yankielowicz, S.2
-
97
-
-
0001394822
-
Bonus symmetry in conformal field theory
-
K. Intriligator, Bonus symmetry in conformal field theory, Nucl. Phys. B 332 (1990) 541.
-
(1990)
Nucl. Phys. B
, vol.332
, pp. 541
-
-
Intriligator, K.1
-
98
-
-
0030526987
-
Introduction to conformal field theory
-
A.N. Schellekens, Introduction to conformal field theory, Fortschr. Phys. 44 (1996) 605.
-
(1996)
Fortschr. Phys
, vol.44
, pp. 605
-
-
Schellekens, A.N.1
-
99
-
-
0001612781
-
Modular invariants from simple currents: An explicit proof
-
A.N. Schellekens, S. Yankielowicz, Modular invariants from simple currents: an explicit proof, Phys. Lett. B 227 (1989) 387.
-
(1989)
Phys. Lett. B
, vol.227
, pp. 387
-
-
Schellekens, A.N.1
Yankielowicz, S.2
-
101
-
-
77950023389
-
Modular categories and orbifold models
-
math.QA/0104242
-
A.A. Kirillov, Modular categories and orbifold models, math.QA/0104242.
-
-
-
Kirillov, A.A.1
-
102
-
-
0039608206
-
Catégories prémodulaires, modularisations et invariants des variétés de dimension 3
-
A. Bruguir̀es, Catégories prémodulaires, modularisations et invariants des variétés de dimension 3, Math. Ann. 316 (2000) 215.
-
(2000)
Math. Ann
, vol.316
, pp. 215
-
-
Bruguir̀es, A.1
-
103
-
-
0345856521
-
Galois theory for braided tensor categories and the modular closure
-
M. Müger, Galois theory for braided tensor categories and the modular closure, Adv. Math. 150 (2000) 151.
-
(2000)
Adv. Math
, vol.150
, pp. 151
-
-
Müger, M.1
-
104
-
-
0033547124
-
Symmetry breaking boundaries I: General theory
-
J. Fuchs, C. Schweigert, Symmetry breaking boundaries I: general theory, Nucl. Phys. B 558 (1999) 419.
-
(1999)
Nucl. Phys. B
, vol.558
, pp. 419
-
-
Fuchs, J.1
Schweigert, C.2
-
106
-
-
0034610876
-
Symmetry breaking boundaries II: More structures, examples
-
J. Fuchs, C. Schweigert, Symmetry breaking boundaries II: more structures, examples, Nucl. Phys. B 568 (2000) 543.
-
(2000)
Nucl. Phys. B
, vol.568
, pp. 543
-
-
Fuchs, J.1
Schweigert, C.2
-
107
-
-
21844501619
-
Four-dimensional topological field theories, Hopf categories, and the canonical bases
-
L. Crane, I. Frenkel, Four-dimensional topological field theories, Hopf categories, and the canonical bases, J. Math. Phys. 35 (1994) 5136.
-
(1994)
J. Math. Phys
, vol.35
, pp. 5136
-
-
Crane, L.1
Frenkel, I.2
-
109
-
-
0000934823
-
The untwisted stabilizer in simple current extensions
-
P. Bantay, The untwisted stabilizer in simple current extensions, Phys. Lett. B 396 (1997) 183.
-
(1997)
Phys. Lett. B
, vol.396
, pp. 183
-
-
Bantay, P.1
-
111
-
-
0036241625
-
Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries
-
hep-th/0107001
-
R. Coquereaux, G. Schieber, Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries, J. Geom. Phys. 42 (2002) 216, hep-th/0107001.
-
(2002)
J. Geom. Phys
, vol.42
, pp. 216
-
-
Coquereaux, R.1
Schieber, G.2
-
112
-
-
23044453476
-
Permeable conformal walls and holography
-
hep-th/0111210
-
C. Bachas, J. de Boer, R. Dijkgraaf, H. Ooguri, Permeable conformal walls and holography, J. High Energy Phys. 0206 (2002) 027, hep-th/0111210.
-
(2002)
J. High Energy Phys
, vol.206
, pp. 027
-
-
Bachas, C.1
de Boer, J.2
Dijkgraaf, R.3
Ooguri, H.4
-
113
-
-
23044447725
-
Symmetry breaking boundary states and defect lines
-
hep-th/0203161
-
T. Quella, V. Schomerus, Symmetry breaking boundary states and defect lines, J. High Energy Phys. 0206 (2002) 028, hep-th/0203161.
-
(2002)
J. High Energy Phys
, vol.206
, pp. 028
-
-
Quella, T.1
Schomerus, V.2
-
114
-
-
0031591557
-
Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
-
M. Oshikawa, I. Affleck, Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line, Nucl. Phys. B 495 (1997) 533.
-
(1997)
Nucl. Phys. B
, vol.495
, pp. 533
-
-
Oshikawa, M.1
Affleck, I.2
-
115
-
-
0033532421
-
Minimal models with integrable local defects
-
A. LeClair, A.W.W. Ludwig, Minimal models with integrable local defects, Nucl. Phys. B 549 (1999) 546.
-
(1999)
Nucl. Phys. B
, vol.549
, pp. 546
-
-
LeClair, A.1
Ludwig, A.W.W.2
-
116
-
-
0001255616
-
Conformal boundary conditions and three-dimensional topological field theory
-
G. Felder, J. Fröhlich, J. Fuchs, C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory, Phys. Rev. Lett. 84 (2000) 1659.
-
(2000)
Phys. Rev. Lett
, vol.84
, pp. 1659
-
-
Felder, G.1
Fröhlich, J.2
Fuchs, J.3
Schweigert, C.4
-
117
-
-
10644250740
-
Taming the conformal zoo
-
G. Moore, N. Seiberg, Taming the conformal zoo, Phys. Lett. B 220 (1989) 422.
-
(1989)
Phys. Lett. B
, vol.220
, pp. 422
-
-
Moore, G.1
Seiberg, N.2
-
118
-
-
0030527202
-
Chern-Simons gauge theory on orbifolds: Open strings from three dimensions
-
P. Hořava, Chern-Simons gauge theory on orbifolds: open strings from three dimensions, J. Geom. Phys. 21 (1996) 1.
-
(1996)
J. Geom. Phys
, vol.21
, pp. 1
-
-
Hořava, P.1
-
119
-
-
33744530933
-
Open and unoriented strings from topological membrane I, prolegomena
-
P.C. Ferreira, I.I. Kogan, Open and unoriented strings from topological membrane I, prolegomena, J. High Energy Phys. 0106 (2001) 056.
-
(2001)
J. High Energy Phys
, vol.106
, pp. 056
-
-
Ferreira, P.C.1
Kogan, I.I.2
-
120
-
-
0035343564
-
Universality in quantum Hall systems: Coset construction of incompressible states
-
J. Fröhlich, B. Pedrini, C. Schweigert, J. Walcher, Universality in quantum Hall systems: coset construction of incompressible states, J. Stat. Phys. 103 (2001) 527.
-
(2001)
J. Stat. Phys
, vol.103
, pp. 527
-
-
Fröhlich, J.1
Pedrini, B.2
Schweigert, C.3
Walcher, J.4
-
122
-
-
0002547091
-
Simple currents versus orbifolds with discrete torsion - A complete classification
-
M. Kreuzer, A.N. Schellekens, Simple currents versus orbifolds with discrete torsion - a complete classification, Nucl. Phys. B 411 (1994) 97.
-
(1994)
Nucl. Phys. B
, vol.411
, pp. 97
-
-
Kreuzer, M.1
Schellekens, A.N.2
-
124
-
-
0032394340
-
New braided endomorphisms from conformal inclusions
-
F. Xu, New braided endomorphisms from conformal inclusions, Commun. Math. Phys. 192 (1998) 349.
-
(1998)
Commun. Math. Phys
, vol.192
, pp. 349
-
-
Xu, F.1
-
125
-
-
0040843697
-
Modular invariants, graphs, and α-induction for nets of subfactors
-
J. Böckenhauer, D.E. Evans, Modular invariants, graphs, and α-induction for nets of subfactors, Commun. Math. Phys. 197 (1998) 361.
-
(1998)
Commun. Math. Phys
, vol.197
, pp. 361
-
-
Böckenhauer, J.1
Evans, D.E.2
-
126
-
-
0033235137
-
On α-induction, chiral generators and modular invariants for subfactors
-
J. Böckenhauer, D.E. Evans, Y. Kawahigashi, On α-induction, chiral generators and modular invariants for subfactors, Commun. Math. Phys. 208 (1999) 429.
-
(1999)
Commun. Math. Phys
, vol.208
, pp. 429
-
-
Böckenhauer, J.1
Evans, D.E.2
Kawahigashi, Y.3
-
127
-
-
4243815661
-
Modular invariants from subfactors
-
math.OA/0006114
-
J. Böckenhauer, D.E. Evans, Modular invariants from subfactors, math.OA/0006114.
-
-
-
Böckenhauer, J.1
Evans, D.E.2
-
129
-
-
0035916597
-
Some comments on branes, G-flux, and K-theory
-
G. Moore, Some comments on branes, G-flux, and K-theory, Int. J. Mod. Phys. A 16 (2001) 936.
-
(2001)
Int. J. Mod. Phys. A
, vol.16
, pp. 936
-
-
Moore, G.1
-
130
-
-
0011265279
-
D-branes, RR-fields and K-theory I-IV
-
available at
-
G. Moore, D-branes, RR-fields and K-theory I-IV, available at http://online.itp.ucsb.edu/online/mp01/moore1.
-
-
-
Moore, G.1
-
131
-
-
0035844777
-
On the structure of open-closed topological field theory in two dimensions
-
C.I. Lazaroiu, On the structure of open-closed topological field theory in two dimensions, Nucl. Phys. B 603 (2001) 497.
-
(2001)
Nucl. Phys. B
, vol.603
, pp. 497
-
-
Lazaroiu, C.I.1
-
132
-
-
0032545141
-
Integrable boundaries, conformal boundary conditions and A-D-E fusion rules
-
R.E. Behrend, P.A. Pearce, J.-B. Zuber, Integrable boundaries, conformal boundary conditions and A-D-E fusion rules, J. Phys. A 31 (1998) L763.
-
(1998)
J. Phys. A
, vol.31
-
-
Behrend, R.E.1
Pearce, P.A.2
Zuber, J.-B.3
-
133
-
-
0347566048
-
On the classification of bulk and boundary conformal field theories
-
R.E. Behrend, P.A. Pearce, V.B. Petkova, J.-B. Zuber, On the classification of bulk and boundary conformal field theories, Phys. Lett. B 444 (1998) 163.
-
(1998)
Phys. Lett. B
, vol.444
, pp. 163
-
-
Behrend, R.E.1
Pearce, P.A.2
Petkova, V.B.3
Zuber, J.-B.4
-
134
-
-
33645926384
-
String network
-
9803
-
A. Sen, String network, J. High Energy Phys. 9803 (1998) 005.
-
(1998)
J. High Energy Phys
, pp. 005
-
-
Sen, A.1
-
135
-
-
0007084601
-
String theory and noncommutative geometry
-
9909
-
N. Seiberg, E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 9909 (1999) 032.
-
(1999)
J. High Energy Phys
, pp. 032
-
-
Seiberg, N.1
Witten, E.2
-
136
-
-
0002532280
-
Conformal field theory and geometry of strings
-
J. Feldman, et al. (Eds.), American Mathematical Society, Providence
-
J. Frḧolich, K. Gawȩdzki, Conformal field theory and geometry of strings, in: J. Feldman, et al. (Eds.), Mathematical Quantum Theory I: Field Theory and Many Body Theory, American Mathematical Society, Providence, 1994, p. 57.
-
(1994)
Mathematical Quantum Theory I: Field Theory and Many Body Theory
, pp. 57
-
-
Frḧolich, J.1
Gawȩdzki, K.2
|