Causal transformation of G\"odel-type space-times in conformal field theory

TL;DR

This paper investigates how G"odel-type space-times, used as backgrounds in conformal field theory, are affected by deformations via exactly marginal operators, focusing on the transformation of closed time-like curves.

Contribution

It provides a detailed analysis of the behavior of closed time-like curves in G"odel-type space-times under conformal field theory deformations.

Findings

Closed time-like curves can be transformed or removed through specific deformations.

The study offers insights into the stability of causality structures in these backgrounds.

It advances understanding of space-time properties in the context of conformal field theories.

Abstract

The G\"odel-type metrices are considered as backgrounds of the sigma-models. In the conformal field theory such backgrounds are deformed by the exactly marginal operators. We examinate, how the closed time-like curves (CTC's) transform under such deformations.