A Heterotic N=2 String with Space-Time Supersymmetry

TL;DR

This paper constructs a new heterotic N=2 string theory with space-time supersymmetry, revealing a minimal spectrum of two physical states forming a supersymmetric multiplet.

Contribution

It introduces a novel heterotic N=2 string model combining N=4 topological right-movers with a c=0 left-moving sector supporting space-time supersymmetry.

Findings

Spectrum contains only two physical states: one boson and one fermion.

The theory exhibits a U(1,1) bosonic symmetry.

Physical states form a (1,0) supersymmetric multiplet.

Abstract

We reconsider the issue of embedding space-time fermions into the four-dimensional N=2 world-sheet supersymmetric string. A new heterotic theory is constructed, taking the right-movers from the N=4 topological extension of the conventional N=2 string but a c=0 conformal field theory supporting target-space supersymmetry for the left-moving sector. The global bosonic symmetry of the full formalism proves to be U(1,1), just as in the usual N=2 string. Quantization reveals a spectrum of only two physical states, one boson and one fermion, which fall in a multiplet of (1,0) supersymmetry.