An Inverse Penrose Limit and Supersymmetry Enhancement in the Presence of Tensor Central Charges

TL;DR

This paper explores supersymmetry enhancement in tensionless superstring and superbrane models with tensor central charges, revealing exact solutions and correlations with R-symmetry, and discusses implications for partial supersymmetry breaking.

Contribution

It introduces new twistor-like models with tensor central charges, analyzes supersymmetry preservation fractions, and establishes a link between extra κ-symmetry and R-symmetry, providing exact solutions.

Findings

Models preserve 3/4 supersymmetry fractions.

Exact solutions for superstring and superbrane models are obtained.

Correlation between κ-symmetry and R-symmetry is established.

Abstract

A connection between weak and strong tension limits and their perturbative corrections is discussed. New twistor-like models based on D=4, N=1 tensionless superstring and superbrane with tensor central charges are studied. The presence of three, two or less preserved fractions of $\kappa-$symmetry in the actions free of the Wess-Zumino terms is shown. A correlation of extra $\kappa-$symmetry with the R-symmetry is established. The equations of the superstring and superbrane models preserving 3/4 supersymmetry are exactly solved. The general solution for the Goldstone fermion is pure static, but for the Goldstone bosons it also includes a term describing string/brane motions along the fixed directions given by the initial data. These solutions correspond to the partial spontaneous breaking of the D=4, N=1 global supersymmetry and can be associated with a static closed magnetic Nielsen-Olesen vortex or a p-dimensional vortex.