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Gauged Supergravity Vacua From Intersecting Branes

P. M. Cowdall, P. K. Townsend

TL;DR

The paper links specific vacua of gauged N=4 D=4 supergravity (domain-wall, electrovac, and axiovac) to supersymmetric Kaluza-Klein reductions of D=10 N=1 supergravity by identifying their near-horizon geometries with compactifications on S^3 and S^3×S^3. By analyzing intersecting brane configurations—two fivebranes, string-in-fivebrane, and string-in-two-fivebranes—it shows that these brane intersections yield, in appropriate reductions, the corresponding FS model vacua with precise amounts of preserved supersymmetry. The main results establish explicit correspondences: domain-wall vacua arise from near-horizon domain walls in lower-dimensional gauged supergravities, electrovacs from adS3×E1 structures, and axiovac from axionic adS3×E1 geometries, all as KK vacua. This framework broadens the landscape of possible KK compactifications and suggests further identifications of gauged supergravities with brane near-horizon geometries and new compactifications.

Abstract

Domain wall and electrovac solutions of gauged N=4 D=4 supergravity, with gauge group SU(2) or SU(2)xSU(2), are interpreted as supersymmetric Kaluza-Klein vacua of N=1 D=10 supergravity. These vacua are shown to be the near-horizon geometries of certain intersecting brane solutions.

Gauged Supergravity Vacua From Intersecting Branes

TL;DR

The paper links specific vacua of gauged N=4 D=4 supergravity (domain-wall, electrovac, and axiovac) to supersymmetric Kaluza-Klein reductions of D=10 N=1 supergravity by identifying their near-horizon geometries with compactifications on S^3 and S^3×S^3. By analyzing intersecting brane configurations—two fivebranes, string-in-fivebrane, and string-in-two-fivebranes—it shows that these brane intersections yield, in appropriate reductions, the corresponding FS model vacua with precise amounts of preserved supersymmetry. The main results establish explicit correspondences: domain-wall vacua arise from near-horizon domain walls in lower-dimensional gauged supergravities, electrovacs from adS3×E1 structures, and axiovac from axionic adS3×E1 geometries, all as KK vacua. This framework broadens the landscape of possible KK compactifications and suggests further identifications of gauged supergravities with brane near-horizon geometries and new compactifications.

Abstract

Domain wall and electrovac solutions of gauged N=4 D=4 supergravity, with gauge group SU(2) or SU(2)xSU(2), are interpreted as supersymmetric Kaluza-Klein vacua of N=1 D=10 supergravity. These vacua are shown to be the near-horizon geometries of certain intersecting brane solutions.

Paper Structure

This paper contains 5 sections, 26 equations.