Symplectic Quantization of Massive Bosonic string in background B-field

TL;DR

This paper applies symplectic quantization to a massive bosonic string in a B-field background, successfully deriving physical mode expansions and a canonical basis for the constrained system.

Contribution

It demonstrates the use of symplectic quantization for systems with infinite constraints, specifically for massive strings in a background B-field, providing a systematic approach.

Findings

Derived correct field expansions in physical modes

Established a canonical basis for the model

Validated symplectic quantization for boundary constraint systems

Abstract

We give the details of symplectic quantization for a system containing second class constraints. This method is appropriate for imposing infinite series of constraints due to the boundary conditions. We use this method for massive bosonic strings in a background B-field and find the correct expansions of the fields in terms of the physical modes. We have found a canonical basis for this model.