Topological Strings and $D$-Branes

TL;DR

This paper reviews the algebraic structures in topological strings and D-branes, highlighting tensor categories and Frobenius algebras, and explores potential generalizations via subfactor theory.

Contribution

It provides a concise overview of the algebraic framework of topological strings and D-branes and proposes a novel direction for their generalization using subfactor theory.

Findings

Emphasizes the role of tensor categories and Frobenius algebras in topological string theory.

Suggests a new approach to generalize topological strings and D-branes through subfactor theory.

Highlights the algebraic structures underlying open and closed topological strings.

Abstract

In this talk we give a brief review of the algebraic structure behind the open and closed topological strings and $D$-branes and emphasize the role of tensor category and the Frobenius algebra. Also, we speculate on the possibility of generalizing the topological strings and the $D$-branes through the subfactor theory.