On the amplitudes for non-critical n=2 supuerstrings

TL;DR

This paper calculates sphere correlation functions in N=2 non-critical superstrings, revealing unique factorization properties and the absence of extra discrete states in the critical limit, differing from lower N cases.

Contribution

It provides the first detailed computation of bulk four-point functions in N=2 non-critical superstrings, highlighting their distinct factorization and state spectrum.

Findings

Four-point functions factorize due to non-critical kinematics

No additional discrete states appear in the critical limit

Differences from N=0 and N=1 superstring cases

Abstract

We compute correlation functions in $N=2$ non critical superstrings on the sphere. Our calculations are restrained to the ($s=0$) bulk amplitudes. We show that the four point function factorizes as a consequence of the non-critical kinematics, but differently from the $N=0,1$ cases no extra discrete state appears in the $\hat c\to 1^-$ limit.