Minimal Spinning String

TL;DR

This paper introduces a minimal N=1/2 supersymmetric extension of the bosonic Polyakov string, revealing a simpler model with unique properties like chiral symmetry and parabolic equations, expanding the understanding of supersymmetric string theories.

Contribution

It constructs a novel minimal supersymmetric string model, analyzes its classical sector, and identifies distinctive features not present in standard models.

Findings

Model exhibits chiral symmetry.

Equations of motion are of parabolic type.

Fermionic sectors are non-trivial only for closed strings.

Abstract

Minimal N=1/2 supersymmetric extension of bosonic Polyakov's string is constructed. This model is natural generalization of Di Vecchia-Ravndal superparticle. The classical sector of the model is investigated, Noether currents and Virosoro supercondition are found. Minimal spinning string is more simple, than the standard N=1 spinning string of Neveu-Schwarz-Ramond and has a number of unusial properties such as a chiral symmetry, parabolic type of equations of movement, non-triviality fermionic sectors for closed strings only and e.t.c.