Boosted Domain Wall and Charged Kaigorodov Space

TL;DR

This paper introduces a charged extension of the Kaigorodov space by boosting a non-extremal charged domain wall to ultrarelativistic speeds, exploring its thermodynamics and implications in domain wall/QFT duality.

Contribution

It presents a novel charged generalization of the Kaigorodov space via ultrarelativistic boosting of a charged domain wall, linking it to the Carter-Novotný-Horský metric and thermodynamics.

Findings

Derived the charged Carter-Novotný-Horský metric from boosted charged domain walls.

Analyzed the thermodynamics of the charged space and its relation to static black domain walls.

Discussed implications for the domain wall/QFT correspondence.

Abstract

The Kaigorodov space is a homogeneous Einstein space and it describes a pp-wave propagating in anti-de Sitter space. It is conjectured in the literature that M-theory or string theory on the Kaigorodov space times a compact manifold is dual to a conformal field theory in an infinitely-boosted frame with constant momentum density. In this note we present a charged generalization of the Kaigorodov space by boosting a non-extremal charged domain wall to the ultrarelativity limit where the boost velocity approaches the speed of light. The finite boost of the domain wall solution gives the charged generalization of the Carter-Novotn\'y-Horsk\'y metric. We study the thermodynamics associated with the charged Carter-Novotn\'y-Horsk\'y space and discuss its relation to that of the static black domain walls and its implications in the domain wall/QFT (quantum field theory) correspondence.