Skip to main content
eScholarship
Open Access Publications from the University of California

UCLA

UCLA Electronic Theses and Dissertations bannerUCLA

Penrose limits and co dimension 2 defects in supergravity theories

Abstract

In this dissertation, we will discuss two different holographic constructions. First, we construct a Penrose limit for the type IIB AdS6 � S2 � Σ solutions of [1, 2, 3]. These solutions are dual to 5d SCFT which can often be described in terms of long quiver gauge theories. The resulting plane wave spacetime takes a universal form and the worldsheet action of the Green-Schwarz string is quadratic in the light cone gauge allowing us to obtain the spectrum of string excitation.

Next, we present a solution of d = 7 N = 4 gauged supergravity which is dual to co- dimension 2 defect living in a six-dimensional SCFT. Regularity conditions are satisfied by a one parameter family of solutions. We then uplift these to eleven dimensions where they can be understood as Lin-Lunin-Maldacena solutions. Using their electrostatic formulation, we find an infinite family of regular solutions describing holographic defects. We compute holographic observables in both the seven-dimensional and eleven-dimensional theories.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View