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Modular constraints on superconformal field theories

Abstract:

We constrain the spectrum of N = (1, 1) and N = (2, 2) superconformal field theories in two-dimensions by requiring the NS-NS sector partition function to be invariant under the Γθ congruence subgroup of the full modular group SL(2, ℤ). We employ semi-definite programming to find constraints on the allowed spectrum of operators with or without U(1) charges. Especially, the upper bounds on the twist gap for the noncurrent primaries exhibit interesting peaks, kinks, and plateau. We identify a n...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/jhep01(2019)209

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2019
Article number:
209
Publication date:
2019-01-28
Acceptance date:
2019-01-20
DOI:
EISSN:
1029-8479
ISSN:
1126-6708
Language:
English
Keywords:
Pubs id:
1193953
Local pid:
pubs:1193953
Deposit date:
2021-09-07

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