Journal article
VOAs and rank-two instanton SCFTs
- Abstract:
- We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. We find fourth-order linear modular differential equations for the vacuum characters/Schur indices of these theories, which are again uniform across the full family of theories and parameterized by the dual Coxeter number. We comment briefly on expectations for the still higher-rank cases.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 442.4KB, Terms of use)
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- Publisher copy:
- 10.1007/s00220-020-03746-9
Authors
- Publisher:
- Springer
- Journal:
- Communications in Mathematical Physics More from this journal
- Volume:
- 377
- Issue:
- 3
- Pages:
- 2553–2578
- Publication date:
- 2020-03-30
- Acceptance date:
- 2020-02-17
- DOI:
- EISSN:
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1432-0916
- ISSN:
-
0010-3616
- Language:
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English
- Pubs id:
-
1035982
- Local pid:
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pubs:1035982
- Deposit date:
-
2020-04-24
- ARK identifier:
Terms of use
- Copyright holder:
- Beem et al.
- Copyright date:
- 2020
- Rights statement:
- Copyright © 2020 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Licence:
- CC Attribution (CC BY)
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