Deformation dynamics and the Gauss-Bonnet topological term in string theory

TL;DR

This paper demonstrates that adding the Gauss-Bonnet topological term to string theory's action alters the deformation geometry and introduces a nontrivial symplectic structure on the covariant phase space, with potential implications for string dynamics.

Contribution

It reveals a novel nontrivial contribution of the Gauss-Bonnet term to the covariant phase space in string theory, modifying the deformation geometry and symplectic structure.

Findings

Gauss-Bonnet term affects deformation geometry

A symplectic structure is constructed on the phase space

Potential for future extensions in string theory analysis

Abstract

We show that there exist a nontrivial contribution on the Witten covariant phase space when the Gauss-Bonnet topological term is added to the Dirac-Nambu Goto action describing strings, because of the geometry of deformations is modified, and on such space we construct a symplectic structure. Future extensions of the present results are outlined.