Null-Wave Giant Gravitons from Thermal Spinning Brane Probes

TL;DR

This paper constructs and analyzes thermal spinning giant gravitons in string and M-theory, revealing new phase structures, internal spins, and black hole solutions, extending previous work on non-spinning thermal branes.

Contribution

It introduces thermal spinning giant graviton solutions in M-theory, incorporating internal spins and revealing a rich phase structure with new black hole solutions.

Findings

Discovery of thermal spinning giant graviton solutions in M-theory.

Identification of new black hole solutions in AdS backgrounds.

Connection to null-wave BPS giant graviton solutions.

Abstract

We construct and analyze thermal spinning giant gravitons in type II/M-theory based on spherically wrapped black branes, using the method of thermal probe branes originating from the blackfold approach. These solutions generalize in different directions recent work in which the case of thermal (non-spinning) D3-brane giant gravitons was considered, and reveal a rich phase structure with various new properties. First of all, we extend the construction to M-theory, by constructing thermal giant graviton solutions using spherically wrapped M2- and M5-branes. More importantly, we switch on new quantum numbers, namely internal spins on the sphere, which are not present in the usual extremal limit for which the brane world volume stress tensor is Lorentz invariant. We examine the effect of this new type of excitation and in particular analyze the physical quantities in various regimes, including that of small temperatures as well as low/high spin. As a byproduct we find new stationary dipole-charged black hole solutions in AdS_m X S^n backgrounds of type II/M-theory. We finally show, via a double scaling extremal limit, that our spinning thermal giant graviton solutions lead to a novel null-wave zero-temperature giant graviton solution with a BPS spectrum, which does not have an analogue in terms of the conventional weakly coupled world volume theory.