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

UMUT GURSOY, CARLOS NÚÑEZ, MARTIN SCHVELLINGER

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

SISSA

Lugar: Trieste, Italia; Año: 2002 vol. 2002 p. 1 - 38

1029-8479

We obtain explicit realizations of holographic renormalization group (RG) flows from M-theory, from E^{2,1} imes Spin(7) at UV to AdS_4 imes ilde{S^7} (squashed S^7) at IR, from E^{2,1} imes CY4 at UV to AdS_4 imes Q^{1,1,1} at IR, and from E^{2,1} imes HK (hyperKahler) at UV to AdS_4 imes 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.