Remarks on the thermodynamic stability of TT-bar deformations

Abstract

We point out that negative specific heat at high energies is a characteristic feature of many TT-bar deformations, both in the original d = 2 case and in d = 1 quantum mechanical cousins. This note is a contribution to the memorial volume in honor of P. G. O. Freund.

26 pages, one figure. Added discussion of non-compact CFTs and minor improvements

References in corpus (6)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Solving the Simplest Theory of Quantum Gravity
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Beyond Logarithmic Corrections to Cardy Formula
• Deconstructing the Little Hagedorn Holography

Cited by in corpus (10)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• $T\bar{T}$ and $J\bar{T}$ Deformations in Quantum Mechanics
• Perturbative renormalization of the $T\bar{T}$-deformed free massive Dirac fermion
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• On Factorizable S-matrices, Generalized TTbar, and the Hagedorn Transition
• $T\bar{T}$ deformations and the pp wave correspondence
• Comments on the negative specific heat of the $T\bar{T}$ deformed symmetric product CFT
• Comments on single trace $T\bar{T}$ and other current-current deformations
• A Passion for Theoretical Physics: a special issue in memory of Peter G. O. Freund