Non(anti) commutativity for open superstrings

TL;DR

This paper investigates non(anti)commutativity in open superstrings, showing it arises from boundary conditions rather than constraints, and explores its implications for super constraint algebra.

Contribution

It introduces a novel approach by deriving non(anti)commutativity from boundary conditions without treating them as constraints, ensuring algebraic consistency.

Findings

Non(anti)commutativity is linked to boundary conditions.

Super constraint algebra remains involutive.

Results are consistent across different superstring scenarios.

Abstract

Non(anti)commutativity in an open free superstring and also one moving in a background anti-symmetric tensor field is investigated. In both cases, the non(anti)commutativity is shown to be a direct consequence of the non-trivial boundary conditions which, contrary to several approaches, are not treated as constraints. The above non(anti)commutative structures lead to new results in the algebra of super constraints which still remain involutive, indicating the internal consistency of our analysis.