Dynamical Symmetry and the Thermofield State at Large $N$

Abstract

We discus Thermofield Double QFT at real time, in the large $N$ limit. First, we establish a (dynamical) symmetry which we argue holds in general on the real time portion of the Schwinger-Kelydish contour. At large $N$ this symmetry is seen to generate a one parameter degeneracy of stationary collective solutions. The construction is explicitly worked out on the example of $O(N)$ vector QFT. As a nontrivial application we describe construction of the corresponding (large $N$) Thermofield Double State in real time collective formalism.

Appendix C added; matches published version

References in corpus (5)

• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• Revival dynamics in a traversable wormhole
• String Perturbation Theory on the Schwinger-Keldysh Time Contour
• Tidal excitation as mixing in thermal CFT

Cited by in corpus (3)

• Holography of Information in AdS/CFT
• Matrix Entanglement
• Thermofield Theory of Large $N$ Matrix Models