Target space symmetries in topological theories I

TL;DR

This paper investigates how target space diffeomorphisms are realized in type C topological string theory, revealing an algebra of boundary charges influenced by bubbled disks and exploring implications for noncommutative field theories.

Contribution

It demonstrates the algebraic structure of boundary charges in topological strings and their modification by bubbled disks, with applications to noncommutative field theories.

Findings

Boundary charges form an algebra differing from bulk charges.

Bubbled disks contribute to the boundary charge algebra.

Applications to noncommutative field theories are discussed.

Abstract

We study realization of the target space diffeomorphisms in the type $C$ topological string. We found that the charges, which generate transformations of the boundary observables, form an algebra, which differs from that of bulk charges by the contribution of the bubbled disks. We discuss applications to noncommutative field theories.