Detachable circles and temperatureinversion dualities for CFT_{ d }
Abstract
We use a Weyl transformation between S ^{1} × S ^{ d1} and {S}^1× H^{d1}/Z to relate a conformal field theory at arbitrary temperature on S ^{ d1} to itself at the inverse temperature on H^{d1}/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 EguchiKawai mechanism and a hightemperature/lowtemperature duality on S ^{ d1}.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2018
 DOI:
 10.1007/JHEP01(2018)135
 arXiv:
 arXiv:1709.06084
 Bibcode:
 2018JHEP...01..135H
 Keywords:

 AdSCFT Correspondence;
 Conformal Field Theory;
 Confinement;
 Conformal and W Symmetry;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 21 pages