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Twisted chiral algebras of class S and mixed Feigin-Frenkel gluing

Abstract:

The correspondence between four-dimensional N=2 superconformal field theories and vertex operator algebras, when applied to theories of class S, leads to a rich family of VOAs that have been given the monicker chiral algebras of class S. A remarkably uniform construction of these vertex operator algebras has been put forward by Tomoyuki Arakawa in Arakawa (Chiral algebras of class S and Moore–Tachikawa symplectic varieties, 2018. arXiv:1811.01577 [math.RT]). The construction of Arakawa (2018)...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00220-022-04556-x

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St John's College
Role:
Author
ORCID:
0000-0001-8820-2835
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-3618-832X
More from this funder
Name:
Simons Foundation
Grant:
494786
More from this funder
Name:
European Commission
Grant:
864828
More from this funder
Name:
Science and Technology Facilities Council
Grant:
ST/T000864/1
Publisher:
Springer
Journal:
Communications in Mathematical Physics More from this journal
Volume:
399
Pages:
295-366
Publication date:
2022-11-11
Acceptance date:
2022-10-19
DOI:
EISSN:
1432-0916
ISSN:
0010-3616
Language:
English
Pubs id:
1237731
Local pid:
pubs:1237731
Deposit date:
2022-10-21

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