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<math><msub><mi>Z</mi><mi>N</mi></msub></math> symmetries, anomalies, and the modular bootstrap
- Source :
- Physical Review
- Publication Year :
- 2021
- Publisher :
- APS, 2021.
-
Abstract
- We explore constraints on (1+1)d unitary conformal field theory with an internal ZN global symmetry, by bounding the lightest symmetry-preserving scalar primary operator using the modular bootstrap. Among the other constraints we have found, we prove the existence of a ZN-symmetric relevant/marginal operator if N−1≤c≤9−N for N≤4, with the end points saturated by various Wess-Zumino-Witten models that can be embedded into (e8)1. Its existence implies that robust gapless fixed points are not possible in this range of c if only a ZN symmetry is imposed microscopically. We also obtain stronger, more refined bounds that depend on the ‘t Hooft anomaly of the ZN symmetry.
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical Review
- Accession number :
- edsair.doi.dedup.....0ffe29f7694ef26b07bb6d6393ae79ee