Publication: Branes with fluxes wrapped on spheres
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2002-07
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Springer
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Abstract
Following an eight-dimensional gauged supergravity approach we construct the most general solution describing D6-branes wrapped on a Kähler four-cycle taken to be the product of two spheres of different radii. Our solution interpolates between a Calabi–Yau four-fold and the spaces S^(2) × S^(2) × S^(2) × IR^(2) or S^(2) × S^(2) × IR^(4) , depending on generic choices for the parameters. Then we turn on a background four-form field strength, corresponding to D2-branes, and show explicitly how our solution is deformed. For a particular choice of parameters it represents a flow from a Calabi–Yau four-fold times the three-dimensional Minkowski space-time in the ultraviolet, to the space-time AdS_(4) × Q^(1,1,1) in the infrared. In general, the solution in the infrared has a singularity which within type-IIA supergravity corresponds to the near horizon geometry of the solution for the D2-D6 system. Finally, we uncover the relation with work done in the eighties on Freund–Rubin type compactifications.
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© SISSA/ISAS 2002. 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” and by 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-2000-00122 “Superstring Theory” and HPRN-CT-2000-00131 “Quantum Structure of Space-time”. He also acknowledges support by the Greek State Scholarships Foundation under the contract IKYDA-2001/22, as well as NATO support by a Collaborative Linkage Grant under the contract PST.CLG.978785.