BPS solutions of a D5-brane worldvolume in a D3-brane background from superalgebras
Ben Craps, Joaquim Gomis, David Mateos, Antoine Van Proeyen
TL;DR
This paper derives BPS solutions for a D5-brane in a D3-brane background using superalgebra methods, extending the analysis from near horizon to more general geometries.
Contribution
It introduces a superalgebra-based approach to find BPS solutions of D5-branes in curved backgrounds, extending previous near horizon analyses.
Findings
BPS solutions are characterized by the OSp(1|16) superalgebra.
The approach links BPS bounds to supersymmetry algebra extensions.
The analysis applies to both near horizon and non-near horizon geometries.
Abstract
The BPS method is used to find BPS solutions of the worldvolume theory of a D5-brane in the near horizon geometry of a D3-brane. The BPS bound is interpreted in terms of the `maximally extended' D5 worldvolume supersymmetry algebra in the corresponding curved background, which is OSp(1|16). This algebra is an extension of the worldvolume superalgebra OSp(4^*|4). The analysis is generalized to the non-near horizon case.
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