Journal articles on the topic 'Modular tensor categories'
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HONG, SEUNG-MOON, ERIC ROWELL, and ZHENGHAN WANG. "ON EXOTIC MODULAR TENSOR CATEGORIES." Communications in Contemporary Mathematics 10, supp01 (2008): 1049–74. http://dx.doi.org/10.1142/s0219199708003162.
Full textLyubashenko, V. "Modular transformations for tensor categories." Journal of Pure and Applied Algebra 98, no. 3 (1995): 279–327. http://dx.doi.org/10.1016/0022-4049(94)00045-k.
Full textRowell, Eric, Richard Stong, and Zhenghan Wang. "On Classification of Modular Tensor Categories." Communications in Mathematical Physics 292, no. 2 (2009): 343–89. http://dx.doi.org/10.1007/s00220-009-0908-z.
Full textLiu, Zhengwei, and Feng Xu. "Jones-Wassermann subfactors for modular tensor categories." Advances in Mathematics 355 (October 2019): 106775. http://dx.doi.org/10.1016/j.aim.2019.106775.
Full textGiorgetti, Luca, and Karl-Henning Rehren. "Bantay's trace in unitary modular tensor categories." Advances in Mathematics 319 (October 2017): 211–23. http://dx.doi.org/10.1016/j.aim.2017.08.018.
Full textCreutzig, Thomas, and Terry Gannon. "Logarithmic conformal field theory, log-modular tensor categories and modular forms." Journal of Physics A: Mathematical and Theoretical 50, no. 40 (2017): 404004. http://dx.doi.org/10.1088/1751-8121/aa8538.
Full textKirillov, Alexander A. "On an inner product in modular tensor categories." Journal of the American Mathematical Society 9, no. 4 (1996): 1135–69. http://dx.doi.org/10.1090/s0894-0347-96-00210-x.
Full textEdie-Michell, Cain. "Simple current auto-equivalences of modular tensor categories." Proceedings of the American Mathematical Society 148, no. 4 (2019): 1415–28. http://dx.doi.org/10.1090/proc/14795.
Full textKong, Liang, and Ingo Runkel. "Morita classes of algebras in modular tensor categories." Advances in Mathematics 219, no. 5 (2008): 1548–76. http://dx.doi.org/10.1016/j.aim.2008.07.004.
Full textAl-Shomrani, M. M., and E. J. Beggs. "Making nontrivially associated modular categories from finite groups." International Journal of Mathematics and Mathematical Sciences 2004, no. 42 (2004): 2231–64. http://dx.doi.org/10.1155/s0161171204308203.
Full textTURAEV, VLADIMIR G. "MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS." International Journal of Modern Physics B 06, no. 11n12 (1992): 1807–24. http://dx.doi.org/10.1142/s0217979292000876.
Full textHuang, Y. Z. "Vertex operator algebras, the Verlinde conjecture, and modular tensor categories." Proceedings of the National Academy of Sciences 102, no. 15 (2005): 5352–56. http://dx.doi.org/10.1073/pnas.0409901102.
Full textMüger, Michael. "Galois Theory for Braided Tensor Categories and the Modular Closure." Advances in Mathematics 150, no. 2 (2000): 151–201. http://dx.doi.org/10.1006/aima.1999.1860.
Full textPfeiffer, Hendryk. "Tannaka–Kreıˇn reconstruction and a characterization of modular tensor categories". Journal of Algebra 321, № 12 (2009): 3714–63. http://dx.doi.org/10.1016/j.jalgebra.2009.02.026.
Full textHUANG, YI-ZHI. "RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES." Communications in Contemporary Mathematics 10, supp01 (2008): 871–911. http://dx.doi.org/10.1142/s0219199708003083.
Full textSchopieray, Andrew. "Prime decomposition of modular tensor categories of local modules of type D." Quantum Topology 11, no. 3 (2020): 489–524. http://dx.doi.org/10.4171/qt/140.
Full textMasdeu, Marc, and Marco Adamo Seveso. "Dirac operators in tensor categories and the motive of quaternionic modular forms." Advances in Mathematics 313 (June 2017): 628–88. http://dx.doi.org/10.1016/j.aim.2017.03.034.
Full textGui, Bin. "Unitarity of the Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, II." Communications in Mathematical Physics 372, no. 3 (2019): 893–950. http://dx.doi.org/10.1007/s00220-019-03534-0.
Full textGui, Bin. "Unitarity of the Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, I." Communications in Mathematical Physics 366, no. 1 (2019): 333–96. http://dx.doi.org/10.1007/s00220-019-03326-6.
Full textGainutdinov, Azat M., and Ingo Runkel. "Projective objects and the modified trace in factorisable finite tensor categories." Compositio Mathematica 156, no. 4 (2020): 770–821. http://dx.doi.org/10.1112/s0010437x20007034.
Full textSchopieray, Andrew. "Level bounds for exceptional quantum subgroups in rank two." International Journal of Mathematics 29, no. 05 (2018): 1850034. http://dx.doi.org/10.1142/s0129167x18500349.
Full textHarvey, Jeffrey A., Yichen Hu, and Yuxiao Wu. "Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories." Journal of Physics A: Mathematical and Theoretical 53, no. 33 (2020): 334003. http://dx.doi.org/10.1088/1751-8121/ab8e03.
Full textLepowsky, J. "From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory." Proceedings of the National Academy of Sciences 102, no. 15 (2005): 5304–5. http://dx.doi.org/10.1073/pnas.0501135102.
Full textBlass, Andreas, and Yuri Gurevich. "Witness algebra and anyon braiding." Mathematical Structures in Computer Science 30, no. 3 (2020): 234–70. http://dx.doi.org/10.1017/s0960129520000055.
Full textKirillov, Alexander A. "On inner product in modular tensor categories II: Inner product on conformal blocks and affine inner product identities." Advances in Theoretical and Mathematical Physics 2, no. 1 (1998): 155–80. http://dx.doi.org/10.4310/atmp.1998.v2.n1.a6.
Full textWang, Zhenghan. "Beyond anyons." Modern Physics Letters A 33, no. 28 (2018): 1830011. http://dx.doi.org/10.1142/s0217732318300112.
Full textLochak, Pierre. "LECTURES ON TENSOR CATEGORIES AND MODULAR FUNCTORS (University Lecture Series 21) By BOJKO BAKALOV and ALEXANDER KIRILLOV, JR: 221 pp., US$29.00, ISBN 0-8218-2686-7 (American Mathematical Society, Providence, RI, 2001)." Bulletin of the London Mathematical Society 34, no. 3 (2002): 374–84. http://dx.doi.org/10.1112/s0024609302211145.
Full textDong, Chongying, Siu-Hung Ng, and Li Ren. "Vertex operator superalgebras and the 16-fold way." Transactions of the American Mathematical Society, July 19, 2021. http://dx.doi.org/10.1090/tran/8454.
Full textNandakumar, Vinoth, and Gufang Zhao. "Categorification via blocks of modular representations for." Canadian Journal of Mathematics, May 19, 2020, 1–29. http://dx.doi.org/10.4153/s0008414x20000346.
Full textEtingof, Pavel, and Victor Ostrik. "On the Frobenius functor for symmetric tensor categories in positive characteristic." Journal für die reine und angewandte Mathematik (Crelles Journal), October 8, 2020. http://dx.doi.org/10.1515/crelle-2020-0033.
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