Supersphere

TL;DR

This paper presents a new spherical D2-brane solution without external RR background, revealing supersymmetry preservation and shape deformation depending on an integration constant, with special cases indicating brane-anti-brane configurations.

Contribution

It introduces a novel supersymmetric D2-brane solution without RR background, highlighting shape deformation and brane-anti-brane features based on an integration constant.

Findings

Solution preserves 1/4 supersymmetry

Deformed sphere shape for R_0 ≠ 0

Brane-anti-brane configuration at R_0 = 0

Abstract

The spherical D2-brane solution is obtained without RR external background. The solution is shown to preserve $(1/4)$ supersymmetries. The configurations obtained depend on the integration constant $R_0$. For $R_0 \neq 0$ the shape of the solution is a deformed sphere. When, however, $R_0 = 0$, the D2-brane system seems to exhibit a brane-anti-brane configuration.