Thermal aspects of the ABJM theory: Currents and condensations

To study thermal aspects of theABJM 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 the constant source term. The currents dual to the massless and massive gauge fields are not induced by coupling of the constant boundary vector potential, which implies that the phase described by the black brane background is not superconducting. We also discuss a generalization to charged (dyonic) black holes.