Topological defects in the Liouville field theories with different cosmological constants

TL;DR

This paper constructs and analyzes topological defects in Liouville field theory that induce jumps in the cosmological constant, exploring their classifications, Lagrangian descriptions, and semiclassical limits.

Contribution

It introduces a new class of topological defects in Liouville theory with detailed classifications and Lagrangian formulations, expanding understanding of defect structures.

Findings

Existence of continuous and discrete defect families

Lagrangian description matches semiclassical analysis

Defects induce jumps in the cosmological constant

Abstract

We construct topological defects in the Liouville field theory producing jump in the value of cosmological constant. We construct them using the Cardy-Lewellen equation for the two-point function with defect. We show that there are continuous and discrete families of such kind of defects. For the continuous family of defects we also find the Lagrangian description and check its agreement with the solution of the Cardy-Lewellen equation using the heavy asymptotic semiclasscial limit.