The bosonic string and superstring models in 26+2 and 10+2 dimensional space--time, and the generalized Chern-Simons action

TL;DR

This paper develops covariant string models in higher-dimensional space-times with multiple time coordinates, utilizing generalized Chern-Simons actions, and explores their supersymmetric structures and symmetries.

Contribution

It introduces covariant formulations of U(1)_V * U(1)_A models in 26+2 and 10+2 dimensions using generalized Chern-Simons terms, including supersymmetric extensions.

Findings

String models in 26+2 and 10+2 dimensions with two time coordinates.

Role of generalized Chern-Simons terms in covariant Lagrangians.

Presence of unique supersymmetries and ppa-symmetry in the models.

Abstract

We have covariantized the Lagrangians of the U(1)_V * U(1)_A models, which have U(1)_V * U(1)_A gauge symmetry in two dimensions, and studied their symmetric structures. The special property of the U(1)_V * U(1)_A models is the fact that all these models have an extra time coordinate in the target space-time. The U(1)_V * U(1)_A models coupled to two-dimensional gravity are string models in 26+2 dimensional target space-time for bosonic string and in 10+2 dimensional target space-time for superstring. Both string models have two time coordinates. In order to construct the covariant Lagrangians of the U(1)_V * U(1)_A models the generalized Chern-Simons term plays an important role. The supersymmetric generalized Chern-Simons action is also proposed. The Green-Schwarz type of U(1)_V * U(1)_A superstring model has another fermionic local symmetry as well as \kappa-symmetry. The supersymmetry of target space-time is different from the standard one.