A note on interface solutions in higher-spin gravity

TL;DR

This paper constructs and analyzes holographic interface solutions in higher-spin gravity, demonstrating conditions for transmissive interfaces and providing explicit solutions connecting different vacua and deformations.

Contribution

It introduces explicit holographic interface solutions in higher-spin gravity and explores conditions for their regularity and transmissivity.

Findings

Constructed a regular, transmissive interface connecting $W_3$ and $W_3^{(2)}$ vacua.

Presented an interface solution for relevant deformations in $SL(4,R)$ higher-spin gravity.

Showed that gauge connection regularity constrains conserved currents for interface transmissivity.

Abstract

In this paper we construct holographic interface solutions in the Chern-Simons formulation of higher-spin gravity. It is shown that the global regularity of the gauge connection imposes conditions on the conserved currents consistent with interface being totally transmissive or topological. An interface solution connecting the $W_3$ and $W_3^{(2)}$ vacuum is constructed in the $SL(3,R)$ higher spin gravity. An interface solution corresponding to turning on relevant deformations in higher spin $SL(4,R)$ gravity is presented.