On the gravity dual of the light-front vacuum

TL;DR

This paper proposes that the holographic dual of the light-front vacuum in superconformal field theories is the Kaigorodov spacetime, a pp-wave in AdS, supported by symmetry matching and zero mode analysis.

Contribution

It introduces the conjecture that Kaigorodov spacetime is the dual of the light-front vacuum and provides supporting evidence through symmetry and zero mode considerations.

Findings

Matching of global symmetries between the two sides.

Identification of the Kaigorodov spacetime as the dual geometry.

Analysis of zero mode contributions in the correspondence.

Abstract

Building on a previous conjecture, we argue that the holographic dual of the light-front vacuum state of a superconformal field theory quantized in the front form of dynamics contains the Kaigorodov spacetime, which is nothing but a pp-wave propagating in AdS. Evidence in favor of this conjecture is presented. In particular we verify the matching of global symmetries and discuss the contribution of the zero mode sector in both sides of the correspondence.