Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry

Details Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry

2001-10-03

arxiv.org/abs/hep-th/0110034v2

JHEP 0111:018,2001

Physics

High Energy Physics

High Energy Physics - Theory

v2: 26 pages, 3 figures, 1 table. Section 7 slightly expanded, references added

Scientific paper

10.1088/1126-6708/2001/11/018

We construct ten-dimensional supergravity solutions corresponding to the near horizon limit of IIB fivebranes wrapping special Lagrangian three-cycles of constant curvature. The case of branes wrapping a three-sphere provides a gravity dual of pure N=2 super-Yang-Mills theory in D=3. The non-trivial part of the solutions are seven manifolds that admit two G_2 structures each of which is covariantly constant with respect to a different connection with torsion. We derive a formula for the generalised calibration for this general class of solutions. We discuss analogous aspects of the geometry that arises when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and SU(N) structures. In some cases there are two covariantly constant structures and in others one.

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