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

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.

12 pages

References in corpus (2)

• The Euler characteristic and the first Chern number in the covariant phase space formulation of string theory
• Basic symplectic geometry for p-branes with thickness in a curved background

Cited by in corpus (2)

• A connection between linearized Gauss-Bonnet gravity and classical electrodynamics
• Covariant canonical formalism for Dirac-Nambu-Goto bosonic p-branes and the Gauss-Bonnet topological term in string theory