Ten-dimensional supersymmetric Janus solutions

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 two-parameter family of solutions with 4 real 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.