Thermal Aspects of ABJM theory: Currents and Condensations

TL;DR

This paper explores the thermal behavior of ABJM theory using supergravity reduction, revealing scalar condensations at finite temperature and indicating a non-superconducting phase, with extensions to charged black holes.

Contribution

It provides a detailed analysis of thermal responses in ABJM theory via supergravity, highlighting scalar condensations and non-induction of currents, and extends to charged black hole configurations.

Findings

Finite-temperature scalar condensations occur in ABJM theory.

Massless and massive gauge field currents are not induced by boundary potentials.

The phase with black brane background is not superconducting.

Abstract

To study thermal aspects of the ABJM theory in the strongly coupled regime, we carry out the CP3 invariant dimensional reduction of the type IIA supergravity down to four dimensions. We then investigate zero and finite temperature responses of the operators which are dual to the AdS scalar and vector fields. Two scalar operators are shown to have finite-temperature condensations by coupling of constant source term. The currents dual to the massless and massive gauge fields are not induced by coupling of constant boundary vector potential, which implies that the phase described by black brane background is not superconducting. We also discuss a generalization to charged (dyonic) black holes.