-
1
-
-
0347988127
-
Characters and modular properties of permutation orbifolds
-
Bantay, P.: Characters and modular properties of permutation orbifolds. Phys. Lett. B419, 175-178 (1998);
-
(1998)
Phys. Lett.
, vol.B419
, pp. 175-178
-
-
Bantay, P.1
-
2
-
-
0036605957
-
Permutation orbifolds
-
Permutation orbifolds. Nucl. Phys. B633, 365-378 (2002)
-
(2002)
Nucl. Phys.
, vol.B633
, pp. 365-378
-
-
-
3
-
-
0037328183
-
The kernel of the modular representation and the Galois action in RCFT
-
Bantay, P.: The kernel of the modular representation and the Galois action in RCFT. Commun. Math. Phys. 233, 423-438 (2003)
-
(2003)
Commun. Math. Phys.
, vol.233
, pp. 423-438
-
-
Bantay, P.1
-
5
-
-
0040843697
-
Modular invariants, graphs and α-induction for nets of subfactors I
-
Böckenhauer, J., Evans, D.E.: Modular invariants, graphs and α-induction for nets of subfactors I. Commun. Math. Phys. 197, 361-386 (1998)
-
(1998)
Commun. Math. Phys.
, vol.197
, pp. 361-386
-
-
Böckenhauer, J.1
Evans, D.E.2
-
6
-
-
0039608206
-
Catégories prémodulaires, modularisations et invariants de variétés de dimension 3
-
Bruguières, A.: Catégories prémodulaires, modularisations et invariants de variétés de dimension 3. Math. Ann. 316, 215-236 (2000)
-
(2000)
Math. Ann.
, vol.316
, pp. 215-236
-
-
Bruguières, A.1
-
7
-
-
34250074287
-
Modular structure and duality in QFT
-
Brunetti, R., Guido, D., Longo, R.: Modular structure and duality in QFT. Commun. Math. Phys. 156, 201-219 (1993)
-
(1993)
Commun. Math. Phys.
, vol.156
, pp. 201-219
-
-
Brunetti, R.1
Guido, D.2
Longo, R.3
-
8
-
-
0035829225
-
Categorical G-crossed modules and 2-fold extensions
-
Carrasco, P., Moreno, J.M.: Categorical G-crossed modules and 2-fold extensions. J. Pure Appl. Alg. 163, 235-257 (2001)
-
(2001)
J. Pure Appl. Alg.
, vol.163
, pp. 235-257
-
-
Carrasco, P.1
Moreno, J.M.2
-
9
-
-
0035629036
-
On subsystems and their sectors
-
Conti, R., Doplicher, S., Roberts, J.E.: On subsystems and their sectors. Commun. Math. Phys. 218, 263-281 (2001)
-
(2001)
Commun. Math. Phys.
, vol.218
, pp. 263-281
-
-
Conti, R.1
Doplicher, S.2
Roberts, J.E.3
-
10
-
-
0000275115
-
Catégories tannakiennes
-
P. Cartier et al. (eds.), Basel-Boston: Birkhäuser Verlag
-
Deligne, P.: Catégories tannakiennes. In: Grothendieck Festschrift, P. Cartier et al. (eds.), Vol. 11, Basel-Boston: Birkhäuser Verlag, 1991, pp. 111-195
-
(1991)
Grothendieck Festschrift
, vol.11
, pp. 111-195
-
-
Deligne, P.1
-
11
-
-
44949283212
-
Quasi Hopf algebras, group cohomology and orbifold models
-
Dijkgraaf, R., Pasquier, V., Roche, P.: Quasi Hopf algebras, group cohomology and orbifold models. Nucl. Phys. B (Proc. Suppl.)18B, 60-72 (1990)
-
(1990)
Nucl. Phys. B (Proc. Suppl.)
, vol.18 B
, pp. 60-72
-
-
Dijkgraaf, R.1
Pasquier, V.2
Roche, P.3
-
12
-
-
33744767975
-
The operator algebra of orbifold models
-
Dijkgraaf, R., Vafa, C., Verlinde, E., Verlinde, H.: The operator algebra of orbifold models. Commun. Math. Phys. 123, 485-527 (1989)
-
(1989)
Commun. Math. Phys.
, vol.123
, pp. 485-527
-
-
Dijkgraaf, R.1
Vafa, C.2
Verlinde, E.3
Verlinde, H.4
-
13
-
-
0000680015
-
Topological gauge theories and group cohomology
-
Dijkgraaf, R., Witten, E.: Topological gauge theories and group cohomology. Commun. Math. Phys. 129, 393-429 (1990)
-
(1990)
Commun. Math. Phys.
, vol.129
, pp. 393-429
-
-
Dijkgraaf, R.1
Witten, E.2
-
14
-
-
0032370051
-
Twisted representations of vertex operator algebras
-
Dong, C., Li, H., Mason, G.: Twisted representations of vertex operator algebras. Math. Ann. 310, 571-600 (1998)
-
(1998)
Math. Ann.
, vol.310
, pp. 571-600
-
-
Dong, C.1
Li, H.2
Mason, G.3
-
15
-
-
0035981389
-
Vertex operator algebras, generalized doubles and dual pairs
-
Dong, C., Yamskulna, G.: Vertex operator algebras, generalized doubles and dual pairs. Math. Z. 241, 397-423 (2002)
-
(2002)
Math. Z.
, vol.241
, pp. 397-423
-
-
Dong, C.1
Yamskulna, G.2
-
16
-
-
0001848471
-
Fields, observables and gauge transformations I
-
Doplicher, S., Haag, R., Roberts, J.E.: Fields, observables and gauge transformations I. Commun. Math. Phys. 13, 1-23 (1969)
-
(1969)
Commun. Math. Phys.
, vol.13
, pp. 1-23
-
-
Doplicher, S.1
Haag, R.2
Roberts, J.E.3
-
17
-
-
0039306723
-
Local observables and particle statistics I & IL
-
Doplicher, S., Haag, R., Roberts, J.E.: Local observables and particle statistics I & IL Commun. Math. Phys. 23, 199-230 (1971);
-
(1971)
Commun. Math. Phys.
, vol.23
, pp. 199-230
-
-
Doplicher, S.1
Haag, R.2
Roberts, J.E.3
-
18
-
-
33646885554
-
Local observables and particle statistics I & IL
-
Doplicher, S., Haag, R., Roberts, J.E.: Local observables and particle statistics I & IL Commun. Math. Phys. 35, 49-85 (1974)
-
(1974)
Commun. Math. Phys.
, vol.35
, pp. 49-85
-
-
Doplicher, S.1
Haag, R.2
Roberts, J.E.3
-
19
-
-
0002583127
-
Endomorphisms of C*-algebras, cross products and duality for compact groups
-
Doplicher, S., Roberts, J.E.: Endomorphisms of C*-algebras, cross products and duality for compact groups. Ann. Math. 130, 75-119 (1989)
-
(1989)
Ann. Math.
, vol.130
, pp. 75-119
-
-
Doplicher, S.1
Roberts, J.E.2
-
20
-
-
0000117786
-
A new duality theory for compact groups
-
Doplicher, S., Roberts, J.E.: A new duality theory for compact groups. Invent. Math. 98, 157-218 (1989)
-
(1989)
Invent. Math.
, vol.98
, pp. 157-218
-
-
Doplicher, S.1
Roberts, J.E.2
-
21
-
-
0002199189
-
Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
-
Doplicher, S., Roberts. J.E.: Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics. Commun. Math. Phys. 131, 51-107 (1990)
-
(1990)
Commun. Math. Phys.
, vol.131
, pp. 51-107
-
-
Doplicher, S.1
Roberts, J.E.2
-
22
-
-
0000440057
-
Superselection sectors with braid group statistics and exchange algebras 1
-
Fredenhagen, K., Rehren, K.-H., Schroer, B.: Superselection sectors with braid group statistics and exchange algebras 1. General theory. Commun. Math. Phys. 125, 201-226 (1989)
-
(1989)
General Theory. Commun. Math. Phys.
, vol.125
, pp. 201-226
-
-
Fredenhagen, K.1
Rehren, K.-H.2
Schroer, B.3
-
23
-
-
0001269908
-
Superselection sectors with braid group statistics and exchange algebras II. Geometric aspects and conformal covariance
-
Fredenhagen, K., Rehren, K.-H., Schroer, B.: Superselection sectors with braid group statistics and exchange algebras II. Geometric aspects and conformal covariance. Rev. Math. Phys. Special Issue, 113-157 (1992)
-
(1992)
Rev. Math. Phys.
, Issue.SPEC. ISSUE
, pp. 113-157
-
-
Fredenhagen, K.1
Rehren, K.-H.2
Schroer, B.3
-
24
-
-
0006707360
-
Operator algebras and conformal field theory
-
Gabbiani, F., Fröhlich, J.: Operator algebras and conformal field theory. Commun. Math. Phys. 155, 569-640 (1993)
-
(1993)
Commun. Math. Phys.
, vol.155
, pp. 569-640
-
-
Gabbiani, F.1
Fröhlich, J.2
-
25
-
-
0001747467
-
Relativistic invariance and charge conjugation in quantum field theory
-
Guido, D., Longo, R.: Relativistic invariance and charge conjugation in quantum field theory. Commun. Math. Phys. 148, 521-551 (1992)
-
(1992)
Commun. Math. Phys.
, vol.148
, pp. 521-551
-
-
Guido, D.1
Longo, R.2
-
26
-
-
0003967625
-
-
Springer Texts and Monographs in Physics, Berlin-Heidelberg-New York: Springer
-
nd ed. Springer Texts and Monographs in Physics, Berlin-Heidelberg-New York: Springer, 1996
-
(1996)
nd Ed.
-
-
Haag, R.1
-
27
-
-
43949173985
-
Braided tensor categories
-
Joyal, A., Street, R.: Braided tensor categories. Adv. Math. 102, 20-78 (1993)
-
(1993)
Adv. Math.
, vol.102
, pp. 20-78
-
-
Joyal, A.1
Street, R.2
-
28
-
-
0003356241
-
Vertex algebras for beginners
-
Providence, RI: AMS
-
Kac, V.: Vertex algebras for beginners. AMS University Lecture Series, Vol. 10, Providence, RI: AMS 1997
-
(1997)
AMS University Lecture Series
, vol.10
-
-
Kac, V.1
-
29
-
-
12444306469
-
Solitons in affine and permutation orbifolds
-
Kac, V., Longo, R., Xu, F.: Solitons in affine and permutation orbifolds. Commun. Math. Phys. 253, 723-764 (2005)
-
(2005)
Commun. Math. Phys.
, vol.253
, pp. 723-764
-
-
Kac, V.1
Longo, R.2
Xu, F.3
-
31
-
-
0035373595
-
Multi-interval subfactors and modularity of representations in conformal field theory
-
Kawahigashi, Y., Longo, R., Müger, M.: Multi-interval subfactors and modularity of representations in conformal field theory. Commun. Math. Phys. 219, 631-669 (2001)
-
(2001)
Commun. Math. Phys.
, vol.219
, pp. 631-669
-
-
Kawahigashi, Y.1
Longo, R.2
Müger, M.3
-
32
-
-
0035983008
-
Modular categories and orbifold models I & II
-
2001
-
Kirillov Jr., A.: Modular categories and orbifold models I & II. Commun. Math. Phys. 229, 309-335 (2002), http://arxiv.org/abs/math.QA/0110221, 2001
-
(2002)
Commun. Math. Phys.
, vol.229
, pp. 309-335
-
-
Kirillov Jr., A.1
-
34
-
-
0037058440
-
On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories
-
Kirillov Jr., A., Ostrik, V.: On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories. Adv. Math. 171, 183-227 (2002)
-
(2002)
Adv. Math.
, vol.171
, pp. 183-227
-
-
Kirillov Jr., A.1
Ostrik, V.2
-
35
-
-
21744455350
-
The quantum double of a (locally) compact group
-
Koornwinder, T.H., Muller, N.: The quantum double of a (locally) compact group. J. Lie Th. 7, 101-120 (1997)
-
(1997)
J. Lie Th.
, vol.7
, pp. 101-120
-
-
Koornwinder, T.H.1
Muller, N.2
-
36
-
-
0011499562
-
Index of subfactors and statistics of quantum fields I & II
-
Longo, R.: Index of subfactors and statistics of quantum fields I & II. Commun. Math. Phys. 126, 217-247 (1989);
-
(1989)
Commun. Math. Phys.
, vol.126
, pp. 217-247
-
-
Longo, R.1
-
37
-
-
51249174399
-
Index of subfactors and statistics of quantum fields I & II
-
Longo, R.: Index of subfactors and statistics of quantum fields I & II. Commun. Math. Phys. 130, 285-309 (1990)
-
(1990)
Commun. Math. Phys.
, vol.130
, pp. 285-309
-
-
Longo, R.1
-
39
-
-
0001164991
-
A theory of dimension
-
Longo, R., Roberts, J.E.: A theory of dimension. K-Theory 11, 103-159 (1997)
-
(1997)
K-theory
, vol.11
, pp. 103-159
-
-
Longo, R.1
Roberts, J.E.2
-
40
-
-
11144248452
-
Topological sectors and a dichotomy in conformal field theory
-
Longo, R., Xu, F.: Topological sectors and a dichotomy in conformal field theory. Commun. Math. Phy. 251, 321-364 (2004)
-
(2004)
Commun. Math. Phy.
, vol.251
, pp. 321-364
-
-
Longo, R.1
Xu, F.2
-
41
-
-
0009378730
-
Cohomology theory of abelian groups
-
Cambridge, MA, Providence, RI: Am. Math. Soc., 1952
-
Mac Lane, S.: Cohomology theory of abelian groups. Proceedings of the ICM 1950, (Cambridge, MA, 1950) Vol. II, Providence, RI: Am. Math. Soc., 1952, pp. 8-14
-
(1950)
Proceedings of the ICM 1950
, vol.2
, pp. 8-14
-
-
Mac Lane, S.1
-
42
-
-
27244442653
-
Despite physicists, proof is essential in mathematics
-
Mac Lane, S.: Despite physicists, proof is essential in mathematics. Synthese 111, 147-154 (1997)
-
(1997)
Synthese
, vol.111
, pp. 147-154
-
-
Mac Lane, S.1
-
43
-
-
0003969139
-
-
Berlin-Heidelberg-New York: Springer-Verlag
-
nd ed. Berlin-Heidelberg-New York: Springer-Verlag, 1998
-
(1998)
nd Ed.
-
-
Mac Lane, S.1
-
44
-
-
0346763470
-
Classical and quantum conformal field theory
-
Moore, G., Seiberg, N.: Classical and quantum conformal field theory. Commun. Math. Phys. 123, 177-254 (1989)
-
(1989)
Commun. Math. Phys.
, vol.123
, pp. 177-254
-
-
Moore, G.1
Seiberg, N.2
-
45
-
-
0000920716
-
On charged fields with group symmetry and degeneracies of Verlinde's matrix S
-
Müger, M.: On charged fields with group symmetry and degeneracies of Verlinde's matrix S. Ann. Inst. Henri Poincaré B (Phys. Théor.) 7, 359-394 (1999)
-
(1999)
Ann. Inst. Henri Poincaré B (Phys. Théor.)
, vol.7
, pp. 359-394
-
-
Müger, M.1
-
46
-
-
0040531810
-
On soliton automorphisms in massive and conformal theories
-
Müger, M.: On soliton automorphisms in massive and conformal theories. Rev. Math. Phys. 11, 337-359 (1999)
-
(1999)
Rev. Math. Phys.
, vol.11
, pp. 337-359
-
-
Müger, M.1
-
47
-
-
0345856521
-
Galois theory for braided tensor categories and the modular closure
-
Müger, M.: Galois theory for braided tensor categories and the modular closure. Adv. Math. 150, 151-201 (2000)
-
(2000)
Adv. Math.
, vol.150
, pp. 151-201
-
-
Müger, M.1
-
48
-
-
0010624873
-
Conformal field theory and Doplicher-Roberts reconstruction
-
Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects, R. Longo (ed.)
-
Müger, M.: Conformal field theory and Doplicher-Roberts reconstruction. In: Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects, R. Longo (ed.), Fields Inst. Commun. 20, 297-319 (2001)
-
(2001)
Fields Inst. Commun.
, vol.20
, pp. 297-319
-
-
Müger, M.1
-
49
-
-
0037400955
-
From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories
-
Müger, M.: From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories. J. Pure Appl. Alg. 180, 81-157 (2003)
-
(2003)
J. Pure Appl. Alg.
, vol.180
, pp. 81-157
-
-
Müger, M.1
-
50
-
-
0242642938
-
On the structure of modular categories
-
Müger, M.: On the structure of modular categories. Proc. Lond. Math. Soc. 87, 291-308 (2003)
-
(2003)
Proc. Lond. Math. Soc.
, vol.87
, pp. 291-308
-
-
Müger, M.1
-
51
-
-
3142707944
-
Galois extensions of braided tensor categories and braided crossed G-categories
-
Müger, M.: Galois extensions of braided tensor categories and braided crossed G-categories. J. Alg. 277, 256-281 (2004)
-
(2004)
J. Alg.
, vol.277
, pp. 256-281
-
-
Müger, M.1
-
54
-
-
4243761127
-
Tressages et théories cohomologiques pour les algèbres de Hopf
-
Thèse. Univ. Strasbourg
-
Ospel, L.: Tressages et théories cohomologiques pour les algèbres de Hopf. Application aux invariants des 3- variétés. Thèse. Univ. Strasbourg, 1999
-
(1999)
Application aux Invariants des 3-variétés
-
-
Ospel, L.1
-
55
-
-
0000918642
-
On braiding and dyslexia
-
Pareigis, B.: On braiding and dyslexia. J. Algebra 171, 413-425 (1995)
-
(1995)
J. Algebra
, vol.171
, pp. 413-425
-
-
Pareigis, B.1
-
56
-
-
0000405801
-
Markov traces as characters for local algebras
-
Rehren, K.-H.: Markov traces as characters for local algebras. Nucl. Phys. B(Proc. Suppl.) 18B, 259-268 (1990)
-
(1990)
Nucl. Phys. B(Proc. Suppl.)
, vol.18 B
, pp. 259-268
-
-
Rehren, K.-H.1
-
57
-
-
0007019009
-
Spin-statistics and CPT for solitons
-
Rehren, K.-H.: Spin-statistics and CPT for solitons. Lett. Math. Phys. 46, 95-110 (1998)
-
(1998)
Lett. Math. Phys.
, vol.46
, pp. 95-110
-
-
Rehren, K.-H.1
-
58
-
-
0040622671
-
Net cohomology and its applications to field theory
-
L. Streit (ed.), Berlin-Heidelberg-New York: Springer
-
Roberts, J.E.: Net cohomology and its applications to field theory. In: Quantum fields, Particles, Processes, L. Streit (ed.), Berlin-Heidelberg-New York: Springer, 1980
-
(1980)
Quantum Fields, Particles, Processes
-
-
Roberts, J.E.1
-
59
-
-
4243910121
-
-
Berlin-Heidelberg-New York: Springer-Verlag
-
Saaveda Rivano, N.: Catégories Tannakiennes. LNM 265, Berlin-Heidelberg-New York: Springer-Verlag, 1972
-
(1972)
Catégories Tannakiennes
, vol.LNM 265
-
-
Saaveda Rivano, N.1
-
60
-
-
84996027111
-
Cohomology and extensions of von Neumann algebras I & II
-
Sutherland, C.E.: Cohomology and extensions of von Neumann algebras I & II. Publ. RIMS (Kyoto) 16, 105-133, 135-174 (1980)
-
(1980)
Publ. RIMS (Kyoto)
, vol.16
, pp. 105-133
-
-
Sutherland, C.E.1
-
61
-
-
0035315720
-
Invariants and semi-direct products for finite group actions on tensor categories
-
Tambara, D.: Invariants and semi-direct products for finite group actions on tensor categories. J. Math. Soc. Jap. 53, 429-456 (2001)
-
(2001)
J. Math. Soc. Jap.
, vol.53
, pp. 429-456
-
-
Tambara, D.1
-
64
-
-
0032344404
-
Operator algebras and conformal field theory III. Fusion of positive energy representations of SU(N) using bounded operators
-
Wassermann, A.: Operator algebras and conformal field theory III. Fusion of positive energy representations of SU(N) using bounded operators. Invent. Math. 133, 467-538 (1998)
-
(1998)
Invent. Math.
, vol.133
, pp. 467-538
-
-
Wassermann, A.1
-
65
-
-
0032394340
-
New braided endomorphisms from conformal inclusions
-
Xu, F.: New braided endomorphisms from conformal inclusions. Commun. Math. Phys. 192, 349-403 (1998)
-
(1998)
Commun. Math. Phys.
, vol.192
, pp. 349-403
-
-
Xu, F.1
-
66
-
-
0006740623
-
Jones-Wassermann subfactors for disconnected intervals
-
Xu, F.: Jones-Wassermann subfactors for disconnected intervals. Commun. Contemp. Math. 2, 307-347 (2000)
-
(2000)
Commun. Contemp. Math.
, vol.2
, pp. 307-347
-
-
Xu, F.1
-
67
-
-
0034687785
-
Algebraic orbifold conformal field theories
-
Xu, F.: Algebraic orbifold conformal field theories. Proc. Natl. Acad. Sci. USA 97, 14069-14073 (2000)
-
(2000)
Proc. Natl. Acad. Sci. USA
, vol.97
, pp. 14069-14073
-
-
Xu, F.1
|