Bubbling geometries in the AdS/CFT correspondence

Author(s)

Eiser Augusto Portilla Mosquera

• Document type: Master's Dissertation
• Press: São Paulo.
• Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
• Defense date: 2014-09-30

Examining board members

Diego Trancanelli; Horatiu Stefan Nastase; Victor de Oliveira Rivelles

• Advisor: Diego Trancanelli

Abstract

The scope of this Master program was to get acquainted with the so-called {\\it AdS/CFT correspondence}, which has been one of the most important developments in theoretical physics in the last decades. According to this correspondence, deformations of the geometries in the gravity side (or \"AdS\" side) must be mapped to states of the dual gauge theories (or \"CFT\" side). In particular, we have been interested in exploring a particular entry in the AdS/CFT dictionary, namely, the relation between 1/2 BPS operators in ${\\cal N}=4$ super Yang-Mills, and the so-called {\\it bubbling geometries} on the gravity side. In order to do that, we first present the notions of N=4 SYM and Supergravity solutions. In this way, we can expose the statement of the AdS/CFT correspondence, and later show the derivation of 1/2 BPS geometries dual to 1/2 BPS states in N=4 SYM as an example of this one. (AU)

• FAPESP's process: 12/24849-2 - Bubbling geometries in the AdS/CFT correspondence
• Grantee: Eiser Augusto Portilla Mosquera
• Support Opportunities: Scholarships in Brazil - Master