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

2002/03/31 by Umut Gursoy, Carlos Nunez, Martin Schvellinger · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/06/015

published as JHEP 0206 (2002) 015 · 42 pages, 6 eps figures, typos and misprints corrected

arxiv created 2002/07/12 · arxiv updated 2009/11/30

Abstract

We obtain explicit realizations of holographic renormalization group (RG) flows from M-theory, from E^2,1 × Spin(7) at UV to AdS₄ × S⁷ (squashed S⁷) at IR, from E^2,1 × CY4 at UV to AdS₄ × Q^1,1,1 at IR, and from E^2,1 × HK (hyperKahler) at UV to AdS₄ × 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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