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ЖУРНАЛЫ // Функциональный анализ и его приложения

Функц. анализ и его прил., 1993, том 27, выпуск 4, страницы 32–39 (Mi faa725)

Аналитическое выражение для размерности пространства конформных блоков в модели Весса–Зумино
С. А. Пиунихин

Литература

1. Verlinde E., “Fusion rules and modular transformations in $2D$ conformal field theory”, Nuclear Phys. B, 300 (1988), 360–376  crossref  mathscinet  adsnasa  scopus
2. Witten E., “On quantum gauge theories in two dimensions”, Comm. Math. Phys., 141 (1991), 153–209  crossref  mathscinet  zmath  adsnasa  scopus
3. Dijkgraaf R., Verlinde E., “Modular invariance and fusion algebra”, Nuclear Phys. B, 5 (1988), 87–97, Proc. Suppl.  crossref  mathscinet  scopus
4. Новиков С. П., “Гамильтонов формализм и многозначный аналог теории Морса”, УМН, 37:5 (1982), 3–49  mathnet  crossref  mathscinet  zmath
5. Witten E., “Non-abelian bosonization in two dimensions”, Comm. Math. Phys., 121:3 (1984), 455  crossref  mathscinet  adsnasa  scopus
6. Witten E., “Quantum field theory and Jones polynomial”, Comm. Math. Phys., 121:3 (1989), 351–399  crossref  mathscinet  zmath  adsnasa  scopus
7. Reshetikhin N. Yu., Quantized universal enveloping algebras, the Yang–Baxter equation and invariants of links, I, Preprint LOMI, E-4-87  mathscinet
8. Reshetikhin N. Yu., Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, II, Preprint LOMI, E-4-87  mathscinet
9. Kirillov A. N. and Reshetikhin N. Yu., “Representations of algebra $U_q(Sl(2,C))$, $q$-orthogonal polynomials and invariants of links”, Infinite-dimensional Lie algebras and groups, World Scientific, 1988, 285–342  mathscinet
10. Jones V. F. R., “A polynomial invariant for links via von Neumann algebras”, Bull. Amer. Math. Soc., 12 (1985), 103–110  crossref  mathscinet  scopus
11. Moore G., Seiberg N., “Polynomial equations for rational conformal field theories”, Phys. Lett. B, 212 (1988), 451.  crossref  mathscinet  adsnasa  scopus
12. Moore G., Seiberg N., “Naturally in conformal field theory”, Nuclear Phys. B, 313 (1989), 16  crossref  mathscinet  adsnasa  scopus
13. Moore G., Seiberg N., “Classical and quantum conformal field theory”, Comm. Math. Phys., 123 (1989), 177–254  crossref  mathscinet  zmath  adsnasa  scopus
14. Делинь П., Милн Дж., Категории Танаки. Ходжевы циклы и мотивы, Мир, М., 1985
15. Mac Lane S., Categories for working mathematician, Springer, NY, 1971  mathscinet
16. Friedan D., Shenker S., “The analytic geometry of two-dimensional conformal field theory”, Nuclear Phys. B, 281 (1987), 509–545  crossref  mathscinet  adsnasa  scopus
17. Szenes A., Hilbert polynomials of moduli spaces of rank $2$ vector bundles, I, Preprint, Harvard  mathscinet
18. Bertram A., Szenes A., Hilbert polynomials of moduli spaces of rank $2$ vector bundles, II, Preprint, Harvard  mathscinet
19. Thaddeus M., Conformal field theory and the cohomology of the moduli space of stable bundles, Preprint, Oxford  mathscinet
20. Zagier D., Letter to R. Bott, 1991
21. Kac V. G., Infinite-dimensional Lie algebras, Cambridge Univ. Press, Cambridge, 1985  mathscinet  zmath
22. Kac V. G., Peterson D., “Infinite-dimensional Lie algebras, theta functions and modular forms”, Adv. in Math., 53 (1984), 125–264  crossref  mathscinet  zmath  scopus
23. Gepner D., Witten E., “String theory on Group manifolds”, Nuclear Phys. B, 278 (1986), 493–549  crossref  mathscinet  adsnasa  scopus
24. Kac V. G., Wakimoto M., “Modular and conformal invariance constraints in representation theory of affine algebras”, Adv. Math., 40:1 (1988), 156–236  crossref  mathscinet  scopus
25. Tsuchia A., Kanie Y., “Vertex operators in conformal field theory on $P^1$ and monodromy representations of braid group”, Adv. Stud. Pure Math., 16 (1988), 297–372  crossref  mathscinet
26. Alvarez-Gaume L., Sierra G., Gomez C., “Duality and quantum groups”, Nuclear Phys. B, 330 (1990), 347–398  crossref  mathscinet  zmath  adsnasa  scopus
27. Alvarez-Gaume L., Sierra G., Gomez C., “Topics in conformal field theory”, Physics and Mathematics of String, Memorial volume for Vadim Knizhnik, World Scientific, 1990, 16–184  crossref  mathscinet
28. Rosso M., “Finite-dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra”, Comm. Math. Phys., 117 (1988), 581–593  crossref  mathscinet  zmath  adsnasa  scopus
29. Keller G., “Fusion Rules of $U_q(Sl(2,C))$, $q^m=1$”, Lett. Math. Phys., 21 (1991), 273–286  crossref  mathscinet  zmath  adsnasa  scopus
30. Concini G. De. Kac V. G., “Representation of quantum group at roots of $1$”, Operator algebras, unitary representations, Enveloping algebras and invariant theory, Progress in Math., 92, Birkhauser, Berlin, 1990, 473–506  mathscinet
31. Lusztig G., “Quantum groups at roots of $1$”, Geom. Dedicata, 35:1–3 (1990), 89–114  mathscinet  zmath


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