2017/09/18 by Gary T. Horowitz, Edgar Shaghoulian · 20 citations
Physics and Astronomy · #Asymptote #Black Holes and Theoretical Physics #Conformal map #Context (archaeology) #Duality (order theory) #Equivalence (formal languages) #Gauge (firearms) #Gauge theory #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #T-duality #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2018)135
published in Journal of High Energy Physics 2018(1) (Springer Nature) · 21 pages
arxiv created 2017/09/18 · openalex created_date 2017/09/25 · openalex publication_date 2018/01/01 · arxiv updated 2018/03/14 · openalex updated_date 2026/08/06
We use a Weyl transformation between S1 × Sd−1 and S1× \mathrm\mathscrHd-1/ℤ to relate a conformal field theory at arbitrary temperature on Sd−1 to itself at the inverse temperature on \mathrm\mathscrHd-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.