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M-Fivebranes Wrapped on Supersymmetric Cycles II

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arxiv hep-th/0109039 v1 pith:NAIBH5BP submitted 2001-09-05 hep-th

M-Fivebranes Wrapped on Supersymmetric Cycles II

classification hep-th
keywords correspondingfieldproductcalabi-yauarisingconstructcyclesholomorphic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct D=11 supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap supersymmetric cycles. The cases considered are M-fivebranes wrapped on (i) a complex Lagrangian four-cycle in a D=8 hyper-Kaehler manifold corresponding to a D=2 field theory with (2,1) supersymmetry (ii) a product of two holomorphic two-cycles in a product of two Calabi-Yau two-folds corresponding to a D=2 field theory with (2,2) supersymmetry and (iii) a product of a holomorphic two-cycle and a SLAG three-cycle in a product of a Calabi-Yau two-fold and a Calabi-Yau three-fold corresponding to a quantum mechanics with two supercharges. In each case we construct BPS equations and find IR superconformal fixed points corresponding to new examples of AdS/CFT duality arising from the twisted field theories.

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