General Criterion for the existence of Supertube and BIon in Curved Target Space

TL;DR

This paper derives explicit criteria for the existence of supertube and BIon solutions in general curved target spaces, providing a unified framework for understanding these configurations in string theory.

Contribution

It presents a general criterion for supertube and BIon solutions in curved spaces, extending previous flat-space analyses.

Findings

Explicit existence criteria for supertubes and BIons in curved target spaces

Derived the equations governing general BIon solutions

Provided a unified approach applicable to various curved backgrounds

Abstract

The supertube and BIon spike solutions are examined in a general curved target space. The criteria for the existence of these solutions are explicitly derived. Also the equation which the general BIon solution should satisfy is derived.