-
2
-
-
0000618828
-
Rationality in conformal field theory
-
G. Anderson and G. Moore, Rationality in conformal field theory, Comm. Math. Phys. 117 (1988) 441-450.
-
(1988)
Comm. Math. Phys.
, vol.117
, pp. 441-450
-
-
Anderson, G.1
Moore, G.2
-
3
-
-
0034288951
-
Modular-invariance of trace functions in orbifold theory and generalized Moonshine
-
C. Dong, H. Li and G. Mason, Modular-invariance of trace functions in orbifold theory and generalized Moonshine, Comm. Math. Phys. 214 (2000) 1-56.
-
(2000)
Comm. Math. Phys.
, vol.214
, pp. 1-56
-
-
Dong, C.1
Li, H.2
Mason, G.3
-
4
-
-
0004010057
-
-
Graduate Texts in Mathematics, (Springer-Verlag, New York)
-
B. Farb and R. K. Dennis, Noncommutative Algebra, Graduate Texts in Mathematics, Vol. 144 (Springer-Verlag, New York, 1993).
-
(1993)
Noncommutative Algebra
, vol.144
-
-
Farb, B.1
Dennis, R.K.2
-
5
-
-
0009438566
-
-
Mathematical Surveys and Monographs, (American Mathematical Society, Providence)
-
E. Frenkel and D. Ben-Zvi, Vertex Algebras and Algebraic Curves, Mathematical Surveys and Monographs, Vol. 88 (American Mathematical Society, Providence, 2001).
-
(2001)
Vertex Algebras and Algebraic Curves
, vol.88
-
-
Frenkel, E.1
Ben-Zvi, D.2
-
8
-
-
84973998987
-
Vertex operator algebras associated to representations of affine and Virasoro algebras
-
I. B. Frenkel and Y. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras, Duke Math. J. 66 (1992) 123-168.
-
(1992)
Duke Math. J.
, vol.66
, pp. 123-168
-
-
Frenkel, I.B.1
Zhu, Y.2
-
9
-
-
0003648007
-
-
Pure and Appl. Math., (Academic Press, New York)
-
I. B. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Pure and Appl. Math., Vol. 134 (Academic Press, New York, 1988).
-
(1988)
Vertex Operator Algebras and the Monster
, vol.134
-
-
Frenkel, I.B.1
Lepowsky, J.2
Meurman, A.3
-
10
-
-
0001645655
-
A theory of tensor products for module categories for a vertex operator algebra, IV
-
Y.-Z. Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J. Pure Appl. Alg. 100 (1995) 173-216.
-
(1995)
J. Pure Appl. Alg.
, vol.100
, pp. 173-216
-
-
Huang, Y.-Z.1
-
11
-
-
0030585266
-
Virasoro vertex operator algebras, (nonmeromorphic) operator product expansion and the tensor product theory
-
Y.-Z. Huang, Virasoro vertex operator algebras, (nonmeromorphic) operator product expansion and the tensor product theory, J. Alg. 182 (1996) 201-234.
-
(1996)
J. Alg.
, vol.182
, pp. 201-234
-
-
Huang, Y.-Z.1
-
13
-
-
0000694726
-
Intertwining operator algebras, genus-zero modular functors and genuszero conformal field theories
-
eds. J.-L. Loday, J. Stasheff and A. A. Voronov, Contemporary Math., (American Mathematical Society, Providence)
-
Y.-Z. Huang, Intertwining operator algebras, genus-zero modular functors and genuszero conformal field theories, in Operads: Proceedings of Renaissance Conferences, eds. J.-L. Loday, J. Stasheff and A. A. Voronov, Contemporary Math., Vol. 202 (American Mathematical Society, Providence, 1997), pp. 335-355.
-
(1997)
Operads: Proceedings of Renaissance Conferences
, vol.202
, pp. 335-355
-
-
Huang, Y.-Z.1
-
14
-
-
0032209734
-
Genus-zero modular functors and intertwining operator algebras
-
Y.-Z. Huang, Genus-zero modular functors and intertwining operator algebras, Internat. J. Math. 9 (1998) 845-863.
-
(1998)
Internat. J. Math.
, vol.9
, pp. 845-863
-
-
Huang, Y.-Z.1
-
15
-
-
0033247270
-
A functional-analytic theory of vertex (operator) algebras, I
-
Y.-Z. Huang, A functional-analytic theory of vertex (operator) algebras, I, Comm. Math. Phys. 204 (1999) 61-84.
-
(1999)
Comm. Math. Phys.
, vol.204
, pp. 61-84
-
-
Huang, Y.-Z.1
-
16
-
-
0001010565
-
Generalized rationality and a "Jacobi identity" for intertwining operator algebras
-
Y.-Z. Huang, Generalized rationality and a "Jacobi identity" for intertwining operator algebras, Selecta Math. (N.S.) 6 (2000) 225-267.
-
(2000)
Selecta Math. (N.S.)
, vol.6
, pp. 225-267
-
-
Huang, Y.-Z.1
-
17
-
-
0344120360
-
A functional-analytic theory of vertex (operator) algebras, II
-
Y.-Z. Huang, A functional-analytic theory of vertex (operator) algebras, II, Comm. Math. Phys. 242 (2003) 425-444.
-
(2003)
Comm. Math. Phys.
, vol.242
, pp. 425-444
-
-
Huang, Y.-Z.1
-
18
-
-
20644454895
-
Differential equations and intertwining operators
-
Y.-Z. Huang, Differential equations and intertwining operators, Comm. Contemp. Math. 7 (2005) 375-400.
-
(2005)
Comm. Contemp. Math.
, vol.7
, pp. 375-400
-
-
Huang, Y.-Z.1
-
21
-
-
0000893321
-
A theory of tensor products for module categories for a vertex operator algebra, I
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor products for module categories for a vertex operator algebra, I, Selecta Math. (N.S.) 1 (1995) 699-756.
-
(1995)
Selecta Math. (N.S.)
, vol.1
, pp. 699-756
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
22
-
-
34249759387
-
A theory of tensor products for module categories for a vertex operator algebra, II
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor products for module categories for a vertex operator algebra, II, Selecta Math. (N.S.) 1 (1995) 757-786.
-
(1995)
Selecta Math. (N.S.)
, vol.1
, pp. 757-786
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
23
-
-
0002624352
-
Tensor products of modules for a vertex operator algebra, and vertex tensor categories
-
eds. R. Brylinski, J.-L. Brylinski, V. Guillemin and V. Kac (Birkhäuser, Boston)
-
Y.-Z. Huang and J. Lepowsky, Tensor products of modules for a vertex operator algebra, and vertex tensor categories, in Lie Theory and Geometry, in Honor of Bertram Kostant, eds. R. Brylinski, J.-L. Brylinski, V. Guillemin and V. Kac (Birkhäuser, Boston, 1994), pp. 349-383.
-
(1994)
Lie Theory and Geometry, in Honor of Bertram Kostant
, pp. 349-383
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
24
-
-
0001645660
-
A theory of tensor products for module categories for a vertex operator algebra, III
-
Y.-Z. Huang and J. Lepowsky, A theory of tensor products for module categories for a vertex operator algebra, III, J. Pure Appl. Algebra 100 (1995) 141-171.
-
(1995)
J. Pure Appl. Algebra
, vol.100
, pp. 141-171
-
-
Huang, Y.-Z.1
Lepowsky, J.2
-
26
-
-
0003838589
-
-
Graduate Texts in Mathematics, 2nd edn. (Springer-Verlag, New York)
-
N. Koblitz, Introduction to Elliptic Curves and Modular Forms, Graduate Texts in Mathematics, Vol. 97, 2nd edn. (Springer-Verlag, New York, 1993).
-
(1993)
Introduction to Elliptic Curves and Modular Forms
, vol.97
-
-
Koblitz, N.1
-
27
-
-
0004249446
-
-
Graduate Texts in Mathematics, (Springer-Verlag, New York)
-
S. Lang, Elliptic Functions, Graduate Texts in Mathematics, Vol. 112 (Springer-Verlag, New York, 1987).
-
(1987)
Elliptic Functions
, vol.112
-
-
Lang, S.1
-
28
-
-
0033556815
-
Determining fusion rules by A(V)-modules and bimodules
-
H. Li, Determining fusion rules by A(V)-modules and bimodules, J. Algebra 212 (1999) 515-556.
-
(1999)
J. Algebra
, vol.212
, pp. 515-556
-
-
Li, H.1
-
31
-
-
0346763470
-
Classical and quantum conformal field theory
-
G. Moore and N. Seiberg, Classical and quantum conformal field theory, Comm. Math. Phys. 123 (1989) 177-254.
-
(1989)
Comm. Math. Phys.
, vol.123
, pp. 177-254
-
-
Moore, G.1
Seiberg, N.2
-
32
-
-
0010798477
-
Polynomial equations for rational conformal field theories
-
G. Moore and N. Seiberg, Polynomial equations for rational conformal field theories, Phys. Lett. B212 (1988) 451-460.
-
(1988)
Phys. Lett.
, vol.B212
, pp. 451-460
-
-
Moore, G.1
Seiberg, N.2
-
33
-
-
0011451310
-
The definition of conformal field theory
-
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., (Kluwer Acad. Publ., Dordrecht)
-
G. Segal, The definition of conformal field theory, in Differential Geometrical Methods in Theoretical Physics (Como, 1987), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 250 (Kluwer Acad. Publ., Dordrecht, 1988), pp. 165-171.
-
(1988)
Differential Geometrical Methods in Theoretical Physics (Como, 1987)
, vol.250
, pp. 165-171
-
-
Segal, G.1
-
35
-
-
33645579078
-
-
London Mathematical Society Lecture Note Series, (Cambridge University Press, Cambridge)
-
also in Topology, Geometry and Quantum Field Theory, ed. U. Tillmann, London Mathematical Society Lecture Note Series, Vol. 308 (Cambridge University Press, Cambridge, 2004), pp. 421-577.
-
(2004)
Topology, Geometry and Quantum Field Theory
, vol.308
, pp. 421-577
-
-
Tillmann, U.1
-
36
-
-
0003070622
-
Two-dimensional conformal field theories and modular functors
-
Swansea, (Hilger, Bristol)
-
G. B. Segal, Two-dimensional conformal field theories and modular functors, in Proc. 9th Int. Congress Math. Phys., Swansea, (1988) (Hilger, Bristol, 1989), pp. 22-37.
-
(1988)
Proc. 9th Int. Congress Math. Phys.
, pp. 22-37
-
-
Segal, G.B.1
-
37
-
-
45549111952
-
Fusion rules and modular transformations in 2D conformal field theory
-
E. Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B300 (1988) 360-376.
-
(1988)
Nucl. Phys.
, vol.B300
, pp. 360-376
-
-
Verlinde, E.1
-
38
-
-
0030551014
-
Modular invariance of characters of vertex operator algebras
-
Y. Zhu, Modular invariance of characters of vertex operator algebras, J. Amer. Math. Soc. 9 (1996) 237-307.
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 237-307
-
-
Zhu, Y.1
|