On the Nonlinear Realization of the Superconformal Symmetry

TL;DR

This paper explores the nonlinear realization of two-dimensional superconformal symmetry using Nambu-Goldstone fermions, demonstrating the equivalence between bosonic and N=1 superstrings through a super Higgs mechanism.

Contribution

It introduces a novel nonlinear realization framework for superconformal symmetry in two dimensions and links it to string theory equivalences via super Higgs mechanism.

Findings

Reproduces the superstring realization by Berkovits and Vafa.

Shows the super Higgs mechanism renders NG fermions unphysical.

Establishes equivalence between bosonic and superstrings in this framework.

Abstract

The nonlinear realization of the superconformal symmetry in two dimensions is considered. The superconformal symmetry is realized by means of dimension $-1/2$\ Nambu-Goldstone fermion $\xi$\ and its dimension 3/2 conjugate $\eta$. A matter coupling of these Nambu- Goldstone fermions reproduce the realization found by Berkovits and Vafa to show the equivalence between the bosonic string and a $N=1$\ superstring. This indicates that this equivalence is a result of the super Higgs mechanism as a two dimensional field theory, in which the NG fermions become unphysical.