Quantization of Neveu-Schwarz-Ramond Superstring Model in 10+2-dimensional Spacetime

TL;DR

This paper develops a superstring model invariant under various supersymmetric gauge transformations in a 10+2-dimensional spacetime, and quantizes it using covariant and light-cone methods, revealing consistency in two-time dimensions.

Contribution

It introduces a new superstring model with extended gauge invariance in 10+2 dimensions and demonstrates its consistent quantization.

Findings

Model is invariant under supersymmetric gauge transformations.

Quantization methods confirm consistency in 10+2-dimensional spacetime.

Two-time dimensions are compatible with superstring theory.

Abstract

We construct a Neveu-Schwarz-Ramond superstring model which is invariant under supersymmetric U(1)_V * U(1)_A gauge transformations as well as the super-general coordinate, the super local Lorentz and the super-Weyl transformations on the string world-sheet. We quantize the superstring model by covariant BRST formulation a la Batalin and Vilkovisky and noncovariant light-cone gauge formulation. Upon the quantizations the model turns out to be formulated consistently in 10+2-dimensional background spacetime involving two time dimensions.