Supersymmetric quantum mechanics from wrapped branes
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2004
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Elsevier Science BV
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Abstract
We explicitly construct a solution of eight-dimensional gauged supergravity representing D6-branes wrapped on six-cycles inside Calabi–Yau fourfolds. The solution preserves two supercharges and asymptotically is a cone with the coset space SU(2)^(4)/U(1)^(3) as its base. It is shown to correspond to an M-theory compactification on a Calabi–Yau manifold with SU(5) holonomy and we discuss in detail its geometrical and topological features. We also construct a family of related higherdimensional metrics having SU(n + 1) holonomy, which of course have no brane interpretation.
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© 2004 Published by Elsevier B.V. R.H. acknowledges the financial support provided through the European Community’s Human Potential Programme under contract HPRN-CT-2000-00131 “Quantum Structure of Space–time”, the Swiss Office for Education and Science and the Swiss National Science Foundation. K.S. acknowledges the financial support provided through the European Community’s Human Potential Programme under contracts HPRN-CT-2000-00131 “Quantum Structure of Spacetime” and HPRN-CT-2000- 00122 “Superstring Theory”, by the Greek State Scholarships Foundation under the contract IKYDA-2001/22 “Quantum Fields and Strings”, as well as NATO support by a Collaborative Linkage Grant under the contract PST.CLG.978785 “Algebraic and Geometrical Aspects of Conformal Field Theories and Superstrings”. He also acknowledges the hospitality and financial support of the TH-Division of CERN, where a substantial part of this work was done.