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Title: Rationality in four dimensions
By leveraging the physics of the Higgs branch, we argue that the conformal central charges a and c of an arbitrary 4D N = 2 superconformal field theory (SCFT) are rational numbers. Our proof of the rationality of c is conditioned on a well-supported conjecture about how the Higgs branch of an SCFT is encoded in its protected chiral algebra. To establish the rationality of a , we further rely on a widely believed technical assumption on the high-temperature limit of the superconformal index. Published by the American Physical Society2024  more » « less
Award ID(s):
2210533
PAR ID:
10510097
Author(s) / Creator(s):
;
Publisher / Repository:
Physical Review D
Date Published:
Journal Name:
Physical Review D
Volume:
109
Issue:
10
ISSN:
2470-0010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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