Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential

TL;DR

This paper explores the intersection numbers for p-spin curves of the moduli space using matrix models, analyzing asymptotic behaviors and special cases for various p values, including negative and fractional cases.

Contribution

It introduces a matrix model approach to D type p-spin curves and investigates their asymptotic and strong coupling behaviors for diverse p values.

Findings

Derived asymptotic behavior for large genus g and p limits.

Analyzed special cases p=1/2, -1/2, -2, -3 in Laurent expansions.

Explored strong coupling expansions for negative p cases.

Abstract

The intersection numbers for p spin curves of the moduli space M(g,n) are considered for D type by a matrix model. The asymptotic behavior of the large genus g limit and large p limit are derived. The remarkable features of the cases of p= 1/2, - 1/2, -2, -3 are examined in the Laurent expansion for multiple correlation functions. The strong coupling expansions for the negative p cases are considered.