Gravity Dual for Very Special Conformal Field Theories in type IIB Supergravity

TL;DR

This paper constructs and analyzes new holographic dual solutions in type IIB supergravity for very special conformal field theories with T(2) symmetry, revealing their field theory and non-relativistic system interpretations.

Contribution

It provides explicit analytical solutions in string theory for very special conformal field theories with T(2) symmetry, including their uplift from five dimensions and interpretation in holography.

Findings

Constructed solutions in five-dimensional Einstein gravity with massive two-form fields.

Uplifted solutions to ten-dimensional type IIB supergravity.

Field theory interpretation via Kaluza-Klein reduction on Sasaki-Einstein spaces.

Abstract

We study holographic dual descriptions of very special conformal field theories with the T(2) symmetry. After constructing solutions in effective five dimensional Einstein gravity coupled with massive two-form fields, we uplift them to the ten dimensional type IIB supergravity, via a consistent truncation ansatz, to derive new analytical solutions in string theory. From the Kaluza-Klein ansatz in terms of the internal Sasaki-Einstein space, we obtain their field theory interpretation with concrete realizations in a large class of holographic $\mathcal{N}=1$ supersymmetric conformal field theories. Null compactification of these theories yields holographic dual descriptions of non-relativistic critical systems with translational invariance but without rotational invariance such as the ones induced from a constant electromagnetic field.