A-model and generalized Chern-Simons theory

TL;DR

This paper explores a multidimensional generalization of the relationship between open topological strings and Chern-Simons theory, extending Witten's foundational results to higher dimensions and more complex geometries.

Contribution

It introduces a generalized framework connecting A-model topological strings and Chern-Simons theory across multiple dimensions.

Findings

Establishes a multidimensional extension of the A-model and Chern-Simons correspondence.

Provides insights into instanton corrections in higher-dimensional theories.

Suggests new avenues for topological string and gauge theory relationships.

Abstract

The relation between open topological strings and Chern-Simons theory was discovered by E. Witten. He proved that A-model on T*M where M is a three-dimensional manifold is equivalent to Chern-Simons theory on M and that A-model on arbitrary Calabi-Yau 3-fold is related to Chern-Simons theory with instanton corrections. In present paper we discuss multidimensional generalization of these results.