Nonabelian N=2 Superstrings: Hamiltonian Structure

TL;DR

This paper analyzes the Hamiltonian structure of nonabelian N=2 superstring models, revealing their underlying superalgebra constraints and connecting them to known superstring theories in curved backgrounds.

Contribution

It provides a detailed Hamiltonian analysis of nonabelian N=2 superstrings, including their superalgebra constraints and quantum elements, and relates them to type IIA superstrings in curved backgrounds.

Findings

Identification of Kac-Moody and Virasoro superalgebras in the models

Elements of the quantum theory of nonabelian superstrings

Connection between nonabelian superstrings and type IIA superstrings in curved backgrounds

Abstract

We examine the Hamiltonian structure of nonabelian N=2 superstrings models which are the supergroup manifold extensions of N=2 Green-Schwarz superstring. We find the Kac-Moody and Virasoro type superalgebras of the relevant constraints and present elements of the corresponding quantum theory. A comparison with the type IIA Green-Schwarz superstring moving in a general curved 10-d supergravity background is also given. We find that nonabelian superstrings (for d=10) present a particular case of this general system corresponding to a special choices of the background.