Green-Schwarz type formulation of D=11 S - invariant superstring and superparticle actions

TL;DR

This paper develops a Poincare invariant formulation of D=11 superstring and superparticle actions, exploring their symmetries, quantization, and relation to type IIA superstring, including a zero tension limit model.

Contribution

It introduces a new manifestly invariant superstring action with local kappa-symmetry and explores its quantization and algebraic structure, including a zero tension superparticle model.

Findings

Successfully quantized the theory and related its spectrum to type IIA superstring

Constructed a zero tension superparticle model capturing key features of the superstring

Established invariance under off-shell S-algebra realization

Abstract

A manifestly Poincare invariant formulations for $SO(1,10)$ and SO(2,9) superstring actions are proposed. The actions are invariant under a local fermionic $\kappa$-symmetry as well as under a number of global symmetries, which turn out to be on-shell realization of the known ``new supersymmetry`` S-algebra. Canonical quantization of the theory is performed and relation of the quantum state spectrum with that of type IIA Green-Schwarz superstring is discussed. Besides, a mechanical model is constructed, which is a zero tension limit of the D=11 superstring and which incorporates all essential features of the latter. A corresponding action invariant under off-shell closed realization of the S-algebra is obtained.