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RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves

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arxiv hep-th/0203124 v3 pith:UT4LGQYV submitted 2002-03-14 hep-th

Umut Gursoy , Carlos Nunez , Martin Schvellinger This is my paper
classification hep-th
keywords timesflowsconfigurationslimitsobtainpenrosespinsupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal
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We obtain explicit realizations of holographic renormalization group (RG) flows from M-theory, from E^{2,1} \times Spin(7) at UV to AdS_4 \times \tilde{S^7} (squashed S^7) at IR, from E^{2,1} \times CY4 at UV to AdS_4 \times Q^{1,1,1} at IR, and from E^{2,1} \times HK (hyperKahler) at UV to AdS_4 \times N^{0,1,0} at IR. The dual type IIA string theory configurations correspond to D2-D6 brane systems where D6 branes wrap supersymmetric four-cycles. We also study the Penrose limits and obtain the pp-wave backgrounds for the above configurations. Besides, we study some examples of non-supersymmetric and supersymmetric flows in five-dimensional gauge theories.

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