Thermodynamics of T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ , J T ¯ $$ \mathrm{J}\overline{\mathrm{T}} $$ , T J ¯ $$ \mathrm{T}\overline{\mathrm{J}} $$ deformed conformal field theories

• Main Authors: Soumangsu Chakraborty, Akikazu Hashimoto
• Format: Article
• Language: English
• Published: SpringerOpen 2020-07-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Field Theories in Lower Dimensions; Integrable Field Theories; Renormalization Group
• Online Access: http://link.springer.com/article/10.1007/JHEP07(2020)188

Abstract We compute the Hagedorn temperature of μT T ¯ $$ \mu T\overline{T} $$ + ε + J T ¯ $$ {\varepsilon}_{+}J\overline{T} $$ + ε − T J ¯ $$ {\varepsilon}_{-}T\overline{J} $$ deformed CFT using the universal kernel formula for the thermal partition function. We find a closed analytic expression for the free energy and the Hagedorn temperature as a function of μ, ε +, and ε − for the case of a compact scalar boson by taking the large volume limit. We also compute the Hagedorn temperature for the single trace deformed AdS 3 × S 1 × T 3 × S 3 using holographic methods. We identify black hole configurations whose thermodynamics matches the functional dependence on (μ, ε + , ε − ) of the double trace deformed compact scalars.