Double Scaling Limit of the Supervirasoro Constraints

TL;DR

This paper refines the derivation of the continuum limit in supervirasoro constraints, clarifies degrees of freedom doubling, and links free energy components to the KdV hierarchy, advancing understanding of superstring models.

Contribution

It provides corrected derivations, clarifications on degrees of freedom, and a heuristic connection to the KdV hierarchy in supervirasoro constraints.

Findings

Corrected derivation of the continuum limit.

Clarification of degrees of freedom doubling.

Part of the free energy satisfies the KdV hierarchy.

Abstract

This paper supersedes the preprint Superloop Equations in the Double Scaling Limit, CERN-TH-6575. It is an improved version with corrections in the derivation of the continuum limit, a clarification of the doubling of degrees of freedom for even potentials, and with a heuristic argument showing that the part of the free energy independent of fermion couplings in our model satisfies the KdV Hierarchy.