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Title: Optimal Narain CFTs from codes
A<sc>bstract</sc> Recently established connection between additive codes and Narain CFTs provides a new tool to construct theories with special properties and solve modular bootstrap constraints by reducing them to algebraic identities. We generalize previous constructions to include many new theories, in particular we show that all known optimal Narain theories, i.e. those maximizing the value of spectral gap, can be constructed from codes. For asymptotically large central chargecwe show there are code theories with the spectral gap growing linearly withc, with the coefficient saturating the conjectural upper bound. We therefore conjecture that optimal Narain theories for any value ofccan be obtained from codes.  more » « less
Award ID(s):
2013812
PAR ID:
10483047
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer (Journal of High Energy Physics)
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2022
Issue:
11
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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