Superloop Equations and Two Dimensional Supergravity

Details Superloop Equations and Two Dimensional Supergravity Superloop Equations and Two Dimensional Supergravity

1991-12-09

arxiv.org/abs/hep-th/9112018v1

Int.J.Mod.Phys. A7 (1992) 5337-5368

Physics

High Energy Physics

High Energy Physics - Theory

34 pages

Scientific paper

We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal models coupled to $2D$-supergravity. The basic assumption in our presentation is a set of super-Virasoro constraints imposed on the partition function. We recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also able to evaluate all planar loop correlation functions in the continuum limit. We find evidence to identify the integrable hierarchy of non-linear equations describing the double scaling limit as a supersymmetric generalization of KP studied by Rabin.

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