Janus within Janus

TL;DR

This paper introduces a novel nested Janus solution in type IIB string theory, revealing a self-similar pattern of AdS-sliced domain walls within each other, with implications for higher codimension interface CFTs via AdS/CFT.

Contribution

It presents a new nested Janus solution pattern, extending the known Janus solutions to include multiple layers of AdS-sliced domain walls within each other.

Findings

Discovery of a self-similar nesting pattern of Janus solutions.

Extension of Janus solutions to multiple AdS-sliced domain walls.

Implications for higher codimension interface CFTs in AdS/CFT.

Abstract

We found a simple and interesting generalization of the non-supersymmetric Janus solution in type IIB string theory. The Janus solution can be thought of as a thick AdS_d-sliced domain wall in AdS_{d+1} space. It turns out that the AdS_d-sliced domain wall can support its own AdS_{d-1}-sliced domain wall within it. Indeed this pattern persists further until it reaches the AdS_2-slice of the domain wall within self-similar AdS_{p (2<p\le d)}-sliced domain walls. In other words the solution represents a sequence of little Janus nested in the interface of the parent Janus according to a remarkably simple ``nesting'' rule. Via the AdS/CFT duality, the dual gauge theory description is in general an interface CFT of higher codimensions.