Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States

TL;DR

This paper constructs spinning brane bound states and analyzes their phase structure and thermodynamics, revealing novel features in non-commutative field theories and discussing their validity and implications.

Contribution

It provides a comprehensive analysis of the phase structure and thermodynamics of spinning brane bound states in non-commutative theories, including new features at zero angular momentum.

Findings

Thermodynamics matches the commutative case at large N.

Finite N effects are discussed with potential implications.

Stable regions are identified for spinning D6-brane theories.

Abstract

General spinning brane bound states are constructed, along with their near-horizon limits which are relevant as dual descriptions of non-commutative field theories. For the spinning D-brane world volume theories with a B-field a general analysis of the gauge coupling phase structure is given, exhibiting various novel features, already at the level of zero angular momenta. We show that the thermodynamics is equivalent to the commutative case at large N and we discuss the possibility and consequences of finite N. As an application of the general analysis, the range of validity of the thermodynamics for the NCSYM is discussed. In view of the recently conjectured existence of a 7-dimensional NCSYM, the thermodynamics of the spinning D6-brane theory, for which a stable region can be found, is presented in detail. Corresponding results for the spinning M5-M2 brane bound state, including the near-horizon limit and thermodynamics, are given as well.