The quest for a conifold conformal order

TL;DR

This paper investigates the existence of thermal conformal ordered phases in holographic duals of cascading gauge theories, finding that such phases are not reliably realizable within consistent string theory models.

Contribution

It demonstrates the challenges in constructing reliable holographic models of conformal order, showing these phases are absent in consistent string theory frameworks.

Findings

Dual black branes are outside supergravity approximation regime.

Conformal order is destroyed when deformation parameters are removed.

Holographic models with conformal order are in the String Theory swampland.

Abstract

The holographic duality between cascading gauge theory and type IIB supergravity on warped deformed conifold with fluxes reveals exotic thermal phases with nonzero expectation values of certain operators, persistent to high temperatures. These phases, in the limit of vanishing the strong coupling scale of the cascading gauge theory, would realize thermal ordered conformal phases in relativistic QFTs. We find that the dual Klebanov-Strassler and Klebanov-Tseytlin black branes in this limit are outside the regime of the supergravity approximation, rendering the construction of such conformal ordered states unreliable. While we have been able to construct conformal order in phenomenologically deformed effective theory of type IIB supergravity reduced on warped deformed conifold with fluxes, the removal of the deformation parameter causes the destruction of the thermal conformal ordered phases. Once again, we find that the holographic models with the conformal ordered phases are in the String Theory swampland.