Dual Purpose Landscaping Tools: Small Extra Dimensions in AdS/CFT

TL;DR

This paper introduces a new class of AdS/CFT dual pairs with small internal dimensions, achieved by using 7-branes to nearly cancel internal curvature energy, resulting in large AdS radii and novel dual field theories.

Contribution

It presents a method to construct hierarchical AdS/CFT dual pairs with small internal dimensions by balancing curvature energy with 7-branes, expanding the landscape of known solutions.

Findings

Constructed hierarchical AdS5/CFT4 dual pairs with explicit degrees of freedom formula.

Generalized the construction to AdS4/CFT3 dual pairs.

Suggested extensions to obtain de Sitter solutions.

Abstract

We propose a class of AdS/CFT dual pairs which have small internal dimensions on the gravity side. Starting from known Freund-Rubin AdS/CFT dual pairs, we use 7-branes to nearly cancel the curvature energy of the internal dimensions while maintaining their stabilization. This leads to a new corner of the landscape - a class of AdS solutions with a hierarchically large AdS radius - with a dual field theory given (implicitly) by the infrared limit of a concrete brane construction involving D3-branes, 7-branes, and curvature. We first construct a class of hierarchical AdS5/CFT4 dual pairs with a simple formula for the number of degrees of freedom which we interpret in the dual QFT. We then generalize these to AdS4/CFT3 duals, and suggest extensions of the method to obtain de Sitter solutions.