RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
High Energy Physics - Theory
2009-11-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0203124,
title = {RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves},
author = {Umut Gursoy and Carlos Nunez and Martin Schvellinger},
journal= {arXiv preprint arXiv:hep-th/0203124},
year = {2009}
}
Comments
42 pages, 6 eps figures, typos and misprints corrected