RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
Umut Gürsoy; Carlos Núnez; Martin Schvellinger
Журнал:
Journal of High Energy Physics
Дата:
2002-06-01
Аннотация:
We obtain explicit realizations of holographic renormalization group (RG) flows from M-theory, from E<sup>2,1</sup> × Spin(7) at UV to AdS<sub>4</sub> × S̃<sup>7</sup> (squashed S<sup>7</sup>) at IR, from E<sup>2,1</sup> × CY4 at UV to AdS<sub>4</sub> × Q<sup>1,1,1</sup> at IR, and from E<sup>2,1</sup> × HK (hyperKahler) at UV to AdS<sub>4</sub> × N<sup>0,1,0</sup> 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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