Inhomogeneous Tensionless Superstrings

TL;DR

This work advances tensionless string theory by constructing an intrinsic inhomogeneous tensionless superstring whose worldsheet residual symmetry is the larger $SGCA_I$. It complements and validates this construction by showing consistency with a limiting procedure from the tensile RNS superstring, thereby unifying intrinsic and extrinsic viewpoints. The analysis reveals active fermionic degrees of freedom and a rich oscillator/constraint structure, with open-closed string behavior analogous to the bosonic case and a Super-Virasoro subalgebra embedded in $SGCA_I$. The results open avenues for quantum aspects, holographic interpretations, and the development of vertex operators within the $SGCA_I$ framework, motivating further exploration of multiple tensionless sectors and their physical implications.

Abstract

We construct a novel tensionless limit of Superstring theory that realises the Inhomogeneous Super Galilean Conformal Algebra (SGCA$_I$) as the residual symmetries in the analogue of the conformal gauge, as opposed to previous constructions of the tensionless superstring, where a smaller symmetry algebra called the Homogeneous SGCA emerged as the residual gauge symmetry on the worldsheet. We obtain various features of the new tensionless theory intrinsically as well as from a systematic limit of the corresponding features of the tensile theory. We discuss why it is desirable and also natural to work with this new tensionless limit and the larger algebra.