Vertex operator algebra (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Vertex operator algebra" in English language version.

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Borisov & Libgober (2000). Borisov, Lev A.; Libgober, Anatoly (2000), "Elliptic genera of toric varieties and applications to mirror symmetry", Inventiones Mathematicae, 140 (2): 453–485, arXiv:math/9904126, Bibcode:2000InMat.140..453B, doi:10.1007/s002220000058, MR 1757003, S2CID 8427026
Beem; Leemos; Liendo; Peelaers; Rastelli; van Rees (2015). "Infinite chiral symmetry in four dimensions". Communications in Mathematical Physics. 336 (3): 1359–1433. arXiv:1312.5344. Bibcode:2015CMaPh.336.1359B. doi:10.1007/s00220-014-2272-x. S2CID 253752439.

Borcherds 1986. Borcherds, Richard (1986), "Vertex algebras, Kac-Moody algebras, and the Monster", Proceedings of the National Academy of Sciences of the United States of America, 83 (10): 3068–3071, Bibcode:1986PNAS...83.3068B, doi:10.1073/pnas.83.10.3068, PMC 323452, PMID 16593694
Wang 1993. Wang, Weiqiang (1993), "Rationality of Virasoro vertex operator algebras", International Mathematics Research Notices, 1993 (7): 197, doi:10.1155/S1073792893000212
Borisov & Libgober (2000). Borisov, Lev A.; Libgober, Anatoly (2000), "Elliptic genera of toric varieties and applications to mirror symmetry", Inventiones Mathematicae, 140 (2): 453–485, arXiv:math/9904126, Bibcode:2000InMat.140..453B, doi:10.1007/s002220000058, MR 1757003, S2CID 8427026
Beem; Leemos; Liendo; Peelaers; Rastelli; van Rees (2015). "Infinite chiral symmetry in four dimensions". Communications in Mathematical Physics. 336 (3): 1359–1433. arXiv:1312.5344. Bibcode:2015CMaPh.336.1359B. doi:10.1007/s00220-014-2272-x. S2CID 253752439.

Borcherds 1986. Borcherds, Richard (1986), "Vertex algebras, Kac-Moody algebras, and the Monster", Proceedings of the National Academy of Sciences of the United States of America, 83 (10): 3068–3071, Bibcode:1986PNAS...83.3068B, doi:10.1073/pnas.83.10.3068, PMC 323452, PMID 16593694
Borisov & Libgober (2000). Borisov, Lev A.; Libgober, Anatoly (2000), "Elliptic genera of toric varieties and applications to mirror symmetry", Inventiones Mathematicae, 140 (2): 453–485, arXiv:math/9904126, Bibcode:2000InMat.140..453B, doi:10.1007/s002220000058, MR 1757003, S2CID 8427026
Beem; Leemos; Liendo; Peelaers; Rastelli; van Rees (2015). "Infinite chiral symmetry in four dimensions". Communications in Mathematical Physics. 336 (3): 1359–1433. arXiv:1312.5344. Bibcode:2015CMaPh.336.1359B. doi:10.1007/s00220-014-2272-x. S2CID 253752439.

The history of the Sugawara construction is complicated, with several attempts required to get the formula correct.[1]

Borisov & Libgober (2000). Borisov, Lev A.; Libgober, Anatoly (2000), "Elliptic genera of toric varieties and applications to mirror symmetry", Inventiones Mathematicae, 140 (2): 453–485, arXiv:math/9904126, Bibcode:2000InMat.140..453B, doi:10.1007/s002220000058, MR 1757003, S2CID 8427026
Beem; Leemos; Liendo; Peelaers; Rastelli; van Rees (2015). "Infinite chiral symmetry in four dimensions". Communications in Mathematical Physics. 336 (3): 1359–1433. arXiv:1312.5344. Bibcode:2015CMaPh.336.1359B. doi:10.1007/s00220-014-2272-x. S2CID 253752439.