On the structure of open equivariant topological conformal field theories

TL;DR

This paper classifies open equivariant topological conformal field theories using Calabi-Yau A-infinity categories with group actions, providing a mathematical framework for understanding symmetries in these theories.

Contribution

It introduces a classification scheme linking open equivariant topological conformal field theories to Calabi-Yau A-infinity categories with group actions, a novel theoretical connection.

Findings

Classification of open equivariant TCCFTs via Calabi-Yau A-infinity categories

Establishment of a correspondence between symmetries and algebraic structures

Framework for future studies of symmetries in topological field theories

Abstract

We give a classification of open equivariant topological conformal field theories in terms of Calabi-Yau $A_\infty$-categories endowed with a group action.