Deconstruction, Holography and Emergent Supersymmetry

TL;DR

This paper explores a 5D warped gauge theory using deconstruction, establishing a duality with 4D CFTs, and extends it to supersymmetric models, demonstrating emergent supersymmetry in a natural, warped space framework.

Contribution

It formulates a supersymmetric extension of gauge deconstruction and applies it to a warped space model, revealing emergent supersymmetry in the Higgs sector.

Findings

Established one-to-one correspondence between moose components and CFT elements.

Constructed a supersymmetric Randall-Sundrum model with localized Higgs and bulk fermions.

Demonstrated emergent supersymmetry of the Higgs sector in the model.

Abstract

We study a gauge theory in a 5D warped space via the dimensional deconstruction that a higher dimensional gauge theory is constructed from a moose of 4D gauge groups. By the AdS/CFT correspondence, a 5D warped gauge theory is dual to a 4D conformal field theory (CFT) with a global symmetry. As far as physics of the gauge theory, we obtain the one-to-one correspondence between each component of a moose of gauge groups and that of a CFT. We formulate a supersymmetric extension of deconstruction and explore the framework of natural supersymmetry in a 5D warped space -- the supersymmetric Randall-Sundrum model with the IR-brane localized Higgs and bulk fermions -- via the gauge moose. In this model, a supersymmetry breaking source is located at the end of the moose corresponding to the UV brane and the first two generations of squarks are decoupled. With left-right gauge symmetries in the bulk of the moose, we demonstrate realization of accidental or emergent supersymmetry of the Higgs sector in comparison with the proposed "Moose/CFT correspondence."