S-matrices from 4d worldvolume

TL;DR

This paper explores using conformal field theory techniques on higher-dimensional worldvolumes to compute string-like amplitudes, emphasizing the role of superspace and analyzing properties of massless states.

Contribution

It introduces a novel approach employing worldvolume superspace to calculate amplitudes, extending conformal methods beyond traditional 2D string theory.

Findings

Logarithmic behavior of the worldvolume propagator derived

Massless states exhibit maximum spin d

Discussion on related topics like closed-string trees and zeroth-quantization

Abstract

We give an example of how conformal field theory methods in worldvolumes of dimension d > 2 could be used to calculate string-like amplitudes. The worldvolume propagator's logarithmic behavior is based on the use of worldvolume superspace (rather than the worldvolume ghost coordinates of a previous paper). Massless states have maximum spin d. Unitarity is not studied. We also touch on some related topics for ordinary spinning strings: calculating closed-string trees in worldsheet superspace, and zeroth-quantization of OSp(1|2) with zero-mode ghosts only.