期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2018)135
关键词
AdS-CFT Correspondence; Conformal Field Theory; Confinement; Conformal and W Symmetry
资金
- NSF [PHY-1504541, PHY-1316748, PHY-1607611]
- Simons Foundation [488643]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1316748] Funding Source: National Science Foundation
We use a Weyl transformation between S-1 x Sd(-1) and S-1 x Hd-1/Z to relate a conformal field theory at arbitrary temperature on Sd-1 to itself at the inverse temperature on Hd-1/Z. We use this equivalence to deduce a confining phase transition at finite temperature for large-N gauge theories on hyperbolic space. In the context of gauge/gravity duality, this equivalence provides new examples of smooth bulk solutions which asymptote to conically singular geometries at the AdS boundary. We also discuss implications for the Eguchi-Kawai mechanism and a high-temperature/low-temperature duality on Sd-1.
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