The topology of multi-coupling deformations of CFT

TL;DR

This paper explores the topological structure of the space of coupling constants in multi-coupling deformations of conformal field theories, providing mathematical insights with potential physical implications.

Contribution

It introduces a detailed topological analysis of the manifold of coupling constants, including calculations of Euler and Betti numbers, for multi-coupling CFT deformations.

Findings

Calculated Euler and Betti numbers of the coupling constant manifold

Identified topological features relevant to physical applications

Provided a framework for understanding the deformation space topology

Abstract

We discuss the topological properties of the manifold of coupling constants for multi-coupling deformations of conformal field theories. We calculate the Euler and Betti numbers and briefly discuss physical applications of these results.