Holographic Representations of Supertranslation Eigenstates

TL;DR

This paper constructs holographic representations of supertranslation eigenstates using two-dimensional dual models that encode soft gravitational dynamics, providing a new way to understand supertranslation vacua.

Contribution

It introduces a novel holographic construction of supertranslation eigenstates utilizing dual models for soft gravity, extending previous dressing methods.

Findings

Holographic representations of supertranslation vacua are explicitly constructed.

Soft currents are defined via two-dimensional dual models.

Supertranslation eigenstates are obtained by dressing the vacuum with exponential operators.

Abstract

We construct by direct computation holographic presentations of supertranslation vacua given a set of supermomenta. To do this, we make use of two-dimensional dual models recently discovered by the author, which encode soft dynamics of gravity at leading order. In particular, the two-dimensional models are used to define soft currents, of which the supertranslation vacua are eigenstates. Operationally, the eigenstates are determined by the bare vacuum state dressed by exponential operators that generalize the dressing due to Faddeev and Kulish.