Year: 2018
Type: article
Abstract: We use a Weyl transformation between S1 × Sd−1 and $$ {S}^1\times {\mathrm{\mathscr{H}}}^{d-1}/\mathbb{Z} $$ to relate a conformal field theory at arbitrary temperature on Sd−1 to itself at the inverse temperature on $$ {\mathrm{\mathscr{H}}}^{d-1}/\mathbb{Z} $$ . 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.
Source: Journal of High Energy Physics
Authors: Gary T. Horowitz, Edgar Shaghoulian
Institutions: University of California, Santa Barbara, Cornell University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2755611024