D3-brane Holography

TL;DR

This paper explores a generalized holographic duality beyond the conformal limit, providing a method to compute correlation functions in asymptotically flat backgrounds and examining related physical quantities.

Contribution

It introduces a new prescription for calculating correlation functions in non-AdS holography, applicable to asymptotically flat backgrounds, extending the AdS/CFT framework.

Findings

Derived a correlation function computation method for asymptotically flat backgrounds.

Calculated the quark-antiquark potential in the new holographic setting.

Discussed the baryon description and connections to non-commutative theories.

Abstract

It has recently been conjectured that the AdS_5/SYM_4 correspondence can be generalized away from the conformal limit, to a duality between supergravity on the full asymptotically flat three-brane background and a theory characterized as N=4 SYM deformed in the IR by a specific dimension-eight operator. Assuming that this relation is valid, we derive a prescription for computing n-point correlation functions in the holographic theory, which reduces to the standard AdS/CFT recipe at low energies. One- and two-point functions are discussed in detail. The prescription follows from very simple considerations and appears to be applicable to any asymptotically flat background. We also compute the quark-antiquark potential and comment on the description of the baryon in the supergravity picture. We conclude with some comments on the possible relation between our work and recent results in non-commutative field theories.