Absorption by Threebranes and the AdS/CFT Correspondence

TL;DR

This paper explores two supergravity methods for calculating correlation functions in strongly coupled Yang-Mills theory, demonstrating their agreement with weak coupling results and discussing an example of AdS/CFT duality in type 0 string theory.

Contribution

It compares two approaches to correlation functions in AdS/CFT, clarifies operator dimensions, and examines stability and phase transition in a specific string theory setup.

Findings

Absorption cross-sections match weak coupling results.

Two operator dimensions can correspond to a single scalar field.

Identifies a stability transition in a D3-brane system.

Abstract

In the first part of this talk I discuss two somewhat different supergravity approaches to calculating correlation functions in strongly coupled Yang-Mills theory. The older approach relates two-point functions to cross-sections for absorption of certain incident quanta by threebranes. In this approach the normalization of operators corresponding to the incident particles is fixed unambiguously by the D3-brane DBI action. By calculating absorption cross-sections of all partial waves of the dilaton we find corresponding two-point functions at strong `t Hooft coupling and show that they are identical to the weak coupling results. The newer approach to correlation functions relates them to boundary conditions in AdS space. Using this method we show that for a certain range of negative mass-squared there are two possible operator dimensions corresponding to a given scalar field in AdS, and indicate how to calculate correlation functions for either of these choices. In the second part of the talk I discuss an example of AdS/CFT duality which arises in the context of type 0 string theory. The CFT on N coincident electric and magnetic D3-branes is argued to be stable for sufficiently weak `t Hooft coupling. It is suggested that its transition to instability at a critical coupling is related to singularity of planar diagrams.