Bubbling geometries in the AdS/CFT correspondence

• Grant number: 12/24849-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2013
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Diego Trancanelli
• Grantee: Eiser Augusto Portilla Mosquera
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

One of the most fascinating and useful results obtained by string theory is the discovery of the relation between some field theories (generalizations of the theories that describe, for example, the electromagnetic and nuclear forces) and theories of gravity. This relation is at the hearth of the so-called "AdS/CFT correspondence", one of the most revolutionary breakthroughs in theoretical physics in the last decades.According to this correspondence, deformations of the geometry on the gravity side (or "AdS" side) are mapped to states of the dual gauge theory (or "CFT" side). Quite recently, an explicit realization of this map has been found for the important sector of half-BPS chiral primary operators of the N=4 super Yang-Mills theory. All the geometries corresponding to these operators (called "bubbling geometries") have been classified.The aim of this thesis is to review some aspects of these recent developments and, if time permits, realize some original computations in this area. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MOSQUERA, Eiser Augusto Portilla. Bubbling geometries in the AdS/CFT correspondence. 2014. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.