Ten-dimensional supersymmetric Janus solutions

TL;DR

This paper derives and analyzes new ten-dimensional supersymmetric Janus solutions in Type IIB supergravity, including both non-supersymmetric and supersymmetric cases with varying axion and dilaton fields, and relates them to dual field theories.

Contribution

It provides explicit analytic solutions for Janus configurations with different symmetries and supersymmetry properties, extending previous work and connecting to dual super-Yang-Mills theories.

Findings

A non-supersymmetric Janus solution with SO(6) symmetry derived analytically.

A supersymmetric Janus solution with SU(3) symmetry and 4 supercharges obtained analytically.

The supersymmetric solution is dual to an $ ext{N}=1$ interface super-Yang-Mills theory.

Abstract

The reduced field equations and BPS conditions are derived in Type IIB supergravity for configurations of the Janus type, characterized by an $AdS_4$-slicing of $AdS_5$, and various degrees of internal symmetry and supersymmetry. A generalization of the Janus solution, which includes a varying axion along with a varying dilaton, and has SO(6) internal symmetry, but completely broken supersymmetry, is obtained analytically in terms of elliptic functions. A supersymmetric solution with 4 conformal supersymmetries, SU(3) internal symmetry, a varying axion along with a varying dilaton, and non-trivial $B_{(2)}$ field, is derived analytically in terms of genus 3 hyper-elliptic integrals. This supersymmetric solution is the 10-dimensional Type IIB dual to the $\N=1$ interface super-Yang-Mills theory with SU(3) internal symmetry previously found in the literature.