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

TL;DR

This paper constructs explicit holographic RG flows from M-theory backgrounds involving Spin(7), CY 4-fold, and hyperKahler manifolds to AdS_4 spaces, and explores their Penrose limits and pp-wave backgrounds.

Contribution

It provides new explicit realizations of holographic RG flows from M-theory to AdS_4 spaces with various internal geometries, including Spin(7), CY 4-fold, and hyperKahler manifolds, along with their Penrose limits.

Findings

Explicit RG flow solutions from M-theory to AdS_4 with different internal manifolds.

Derivation of Penrose limits and pp-wave backgrounds for these configurations.

Analysis of supersymmetric and non-supersymmetric flows in five-dimensional gauge theories.

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.