VOA[M4]

Feigin, Boris; Gukov, Sergei

doi:10.1063/1.5100059

Title: VOA[M₄]

Journal Article · 06 January 2020 · Journal of Mathematical Physics

DOI: https://doi.org/10.1063/1.5100059 · OSTI ID:1804045

Feigin, Boris ^[1];

^[2]

National Research Univv. Higher School of Economics, Moscow (Russia); Russian and Landau Inst. for Theoretical Physics, Chernogolovka (Russia); California Institute of Technology
California Institute of Technology (CalTech), Pasadena, CA (United States); Max-Plank-Inst. for Mathematik, Bonn (Germany)

We take a peek at a general program that associates vertex (or chiral) algebras to smooth 4-manifolds in such a way that operations on algebras mirror gluing operations on 4-manifolds and, furthermore, equivalent constructions of 4-manifolds give rise to equivalences (dualities) of the corresponding algebras.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0011632

OSTI ID:: 1804045

Journal Information:: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 61; ISSN 0022-2488

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes Alim, Murad; Haghighat, Babak; Hecht, Michael arXiv https://doi.org/10.48550/arxiv.1012.1608	preprint	January 2010
Instanton moduli spaces and bases in coset conformal field theory Belavin, A. A.; Bershtein, M. A.; Feigin, B. L. arXiv https://doi.org/10.48550/arxiv.1111.2803	text	January 2011
N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae Bonelli, Giulio; Maruyoshi, Kazunobu; Tanzini, Alessandro arXiv https://doi.org/10.48550/arxiv.1208.0790	text	January 2012
Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity Belavin, A. A.; Bershtein, M. A.; Tarnopolsky, G. M. arXiv https://doi.org/10.48550/arxiv.1211.2788	text	January 2012
Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations Bershtein, M.; Feigin, B.; Litvinov, A. arXiv https://doi.org/10.48550/arxiv.1310.7281	text	January 2013
Infinite Chiral Symmetry in Four Dimensions Beem, Christopher; Lemos, Madalena; Liendo, Pedro arXiv https://doi.org/10.48550/arxiv.1312.5344	text	January 2013
A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds Tanaka, Yuuji arXiv https://doi.org/10.48550/arxiv.1410.1691	text	January 2014
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters Nekrasov, Nikita arXiv https://doi.org/10.48550/arxiv.1512.05388	text	January 2015
Fivebranes and 3-manifold homology Gukov, Sergei; Putrov, Pavel; Vafa, Cumrun arXiv https://doi.org/10.48550/arxiv.1602.05302	text	January 2016
On W algebras commuting with a set of screenings Litvinov, Alexey; Spodyneiko, Lev arXiv https://doi.org/10.48550/arxiv.1609.06271	text	January 2016
Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters Fredrickson, Laura; Pei, Du; Yan, Wenbin arXiv https://doi.org/10.48550/arxiv.1701.08782	text	January 2017
$(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces Awata, H.; Kanno, H.; Mironov, A. arXiv https://doi.org/10.48550/arxiv.1712.08016	text	January 2017
Notes on Certain (0,2) Correlation Functions Katz, S.; Sharpe, E. arXiv https://doi.org/10.48550/arxiv.hep-th/0406226	text	January 2004
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A Strong Coupling Test of S-Duality Vafa, Cumrun; Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9408074	text	January 1994
Criteria for Conformal Invariance of (0,2) Models Silverstein, Eva; Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9503212	text	January 1995

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