Supercoherent states of the open NS world sheet superstring

TL;DR

This paper constructs supercoherent states for the open NS superstring using covariant and light cone quantization, extending harmonic oscillator coherent states into superspace and analyzing their statistical properties.

Contribution

It introduces a novel method to build supercoherent states for the NS superstring, incorporating fermionic modes into the harmonic oscillator framework.

Findings

Calculated the Mandel parameter for supercoherent states.

Discovered unique statistical distributions of the states.

Extended coherent state formalism to supersymmetric string modes.

Abstract

The supercoherent states of the RNS string are constructed using the covariant quantization and analogously the light cone quantization formalisms. Keeping intact the original definition of coherent states of harmonic oscillators, we extend the bosonic annihalation operator into the superspace by inclusion of fermionic contribution to oscillator modes thus construct the supercoherent states with supersymetric harmonic oscillator. We analyse the statistics of these states by explicitly calculating the Mandel parameter and obtained interesting results about the nature of distribution of the states