A Note on (D(p-2),Dp) Bound State and Noncommutative Yang-Mills Theory

TL;DR

This paper explains the thermodynamic equivalences among various D-brane configurations using T-duality, providing evidence for the equivalence of noncommutative and ordinary Yang-Mills theories in certain decoupling limits.

Contribution

It demonstrates the T-duality relations among different D-brane solutions and supports the equivalence of noncommutative and ordinary Yang-Mills theories.

Findings

Thermodynamics of Dp-branes with/without B-field are related via T-duality.

Noncommutative and ordinary Yang-Mills theories are equivalent in certain limits.

Provides microscopic explanation for observed thermodynamic equivalences.

Abstract

We give a microscopic explanation for the recently observed equivalence among thermodynamics of supergravity solutions for Dp-branes with or without NS B-field and for D(p-2)-branes with vanishing B-field and two delocalized transverse directions by showing that these D-brane configurations are related to one another through T-duality transformations. This result also gives an evidence for the equivalence among the noncommutative and the ordinary Yang-Mills theories corresponding to the decoupling limits of the worldvolume theories of such D-brane configurations.