Supersymmetric D0-Branes in Curved Backgrounds

TL;DR

This paper derives an action for supersymmetric D0-branes in curved backgrounds by reducing ten-dimensional supergravity, revealing a specific coset-space symmetry and expanding understanding of brane dynamics in curved spacetime.

Contribution

It presents a new supersymmetric D0-brane action in curved backgrounds obtained via dimensional reduction, highlighting its symmetry properties and gauge group dependence.

Findings

The action exhibits a coset-space symmetry $rac{SO(9,9+n)}{SO(9)\times SO(9+n)}\times U(1)

The derivation connects supergravity and super Yang-Mills in 0+1 dimensions

The symmetry structure depends on the gauge group dimension N^2-1.

Abstract

An action for supersymmetric D0-branes in curved backgrounds is obtained by dimensional reduction of N=1 ten-dimensional supergravity coupled to super Yang-Mills system to 0+1 dimensions. The resultant action exhibits the coset-space symmetry $\frac{SO(9,9+n)}{SO(9)\times SO(9+n)}\times U(1)$ where $n=N^{2}-1$ is the dimension of the SU(N) gauge group.