On the AdS/CFT Dual of Deconstruction

TL;DR

This paper explores the duality between certain non-supersymmetric gauge theories and gravity, revealing how an emergent fifth dimension influences quark interactions at different couplings via Wilson loops.

Contribution

It demonstrates the role of the deconstructed fifth dimension in quark potential calculations using AdS/CFT, extending understanding to non-supersymmetric orbifold theories.

Findings

At small coupling, quark potential decreases with angular distance.

At strong coupling, potential exhibits linear growth along the fifth dimension.

The fifth dimension significantly affects interaction potentials in deconstructed theories.

Abstract

We consider a class of non-supersymmetric gauge theories obtained by orbifolding the N=4 super-Yang-Mills theories. We focus on the resulting quiver theories in their deconstructed phase, both at small and large coupling, where a fifth dimension opens up. In particular we investigate the r\^ole played by this extra dimension when evaluating the rectangular Wilson loops encoding the interaction potential between quarks located at different points in the orbifold. The large coupling potential of the deconstructed quiver theory is determined using the AdS/CFT correspondence and analysing the corresponding minimal surface solution for the dual gravitational metric. At small coupling, the potential between quarks decreases with their angular distance while at strong coupling we find a linear dependence at large distance along the (deconstructed) fifth dimension.