Thermal Giant Graviton with Non-commutative Dipole Field

TL;DR

This paper explores the stability and properties of giant graviton configurations in non-commutative dipole field theories at finite temperature, revealing how dipole strength and temperature influence their stability and energy.

Contribution

It introduces a supergravity background dual to non-commutative dipole field theories and analyzes the stability of giant graviton configurations within this framework.

Findings

Giant gravitons are stable for N=2 and N=1 theories below a critical angular momentum.

Dipole strength increases the critical angular momentum for stability.

Temperature does not affect giant graviton stability but makes dual giant gravitons unstable.

Abstract

Using the type II near-extremal 3D-branes solution we apply the T-duality and smeared twist to construct the supergravity backgrounds which dual to the 4D finite temperature non-commutative dipole field theories. We first consider the zero-temperature system in which, depending on the property of dipole vectors it may be N=2, N=1 or N=0 theory. We investigate the rotating D3-brane configurations moving on the spactimes and show that, for the cases of N=2 and N =1 the rotating D3-brane could be blowed up to the stable spherical configuration which is called as giant graviton and has a less energy than the point-like graviton. The giant graviton configuration is stable only if its angular momentum was less than a critical value of $P_c$ which is an increasing function of the dipole strength. For the case of non-supersymmetric theory, however, the spherical configuration has a larger energy than the point-like graviton. We also find that the dipole field always render the dual giant graviton to be more stable than the point-like graviton. The relation of dual giant graviton energy with its angular momentum, which in the AdS/CFT correspondence being the operator anomalous dimension is obtained. We furthermore show that the temperature does not change the property of the giant graviton, while it will render the dual giant graviton to be unstable.