Spin(p+1,p+1) Covariant Dp-brane Bound States

TL;DR

This paper constructs covariant Dp-brane bound states under Spin(p+1,p+1) symmetry, demonstrating their invariance under noncommutative deformations and analyzing transformation laws to ensure consistency with supergravity and string theory principles.

Contribution

It introduces a method to build Spin(p+1,p+1) covariant Dp-brane bound states using RR potentials' transformation properties, advancing understanding of noncommutative deformations in string theory.

Findings

Zero-force condition invariance under noncommutative deformations

Holographic proof of stability of noncommutative ground states

Identification of Spin(p+1,p+1) transformation laws for D-branes

Abstract

We construct Spin(p+1,p+1) covariant Dp-brane bound states by using that the potentials in the RR sector of toroidically compactified type II supergravity transform as a chiral spinor of the T-duality group. As an application, we show the invariance of the zero-force condition for a probe D-brane under noncommutative deformations of the background, which gives a holographic proof of the stability of the corresponding field theory ground state under noncommutative deformations. We also identify the Spin(p+1,p+1) transformation laws by examining the covariance of the D-brane Lagrangians.