The Self-dual String Soliton in AdS_4\times S^7 spacetime

TL;DR

This paper constructs and analyzes self-dual string soliton solutions in AdS_4×S^7 spacetime, revealing their BPS properties and configurations of membranes ending on M5-branes, including straight and spherical intersections.

Contribution

It presents explicit self-dual string soliton solutions in AdS_4×S^7, demonstrating their BPS nature and geometric configurations, which were not previously detailed.

Findings

Solutions are BPS with linearized action.

Solutions have equal electric and magnetic charges.

Configurations include straight and spherical membrane intersections.

Abstract

We construct self-dual string soliton solutions in $AdS_4\times S^7$ spacetime, starting from the covariant equations of motion of M5-brane. We study the properties of the solutions and find that their action are linearized, indicating the BPS nature of the solutions, and they have the same electric and magnetic charge. The straight string soliton solution represents the configuration of the membranes ending on M5-brane with a straight string intersection, and it behaves like the spiky solution in flat spacetime. The spherical string soliton solution, which could be related to the straight one by a conformal transformation, represents the membranes ending on M5-brane with a spherical intersection.