Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories

TL;DR

This paper constructs and analyzes half-BPS solutions in Type IIB superstring theory that are asymptotic to AdS_3 x S^3 x M_4, revealing new Janus solutions and their dual interface conformal field theories.

Contribution

It reduces BPS equations to a set of four differential equations and provides explicit solutions parameterized by harmonic and holomorphic functions, including new Janus solutions.

Findings

Constructed new half-BPS Janus solutions with two AdS_3 asymptotic regions.

Proved global regularity for solutions with multiple AdS_3 regions.

Provided explicit expressions for all bosonic fields in terms of harmonic and holomorphic functions.

Abstract

Type IIB superstring theory has AdS_3 x S^3 x M_4 (where the manifold M_4 is either K_3 or T^4) solutions which preserve sixteen supersymmetries. In this paper we consider half-BPS solutions which are locally asymptotic to AdS_3 x S^3 x M_4 and preserve eight of the sixteen supersymmetries. We reduce the BPS equations and the Bianchi identity for the self-dual five-form field to a set of four differential equations. The complete local solution can be parameterized in terms of two harmonic and two holomorphic functions and all bosonic fields have explicit expressions in terms of these functions. We analyze the conditions for global regularity and construct new half-BPS Janus-solutions which have two asymptotic AdS_3 regions. In addition, our analysis proves the global regularity of a class of solutions with more than two asymptotic AdS_3 regions. Finally, we discuss the dual interpretation as a supersymmetric interface theory for the half-BPS Janus solutions carrying only Ramond-Ramond three-form charge.