The NBI matrix model of IIB Superstrings

TL;DR

This paper demonstrates the equivalence between a proposed NBI matrix model for IIB superstrings and the Kontsevich matrix model, providing explicit transformations and using Virasoro constraints to establish the connection.

Contribution

It establishes the equivalence between the NBI matrix model and the Kontsevich model for IIB superstrings, including explicit transformations and normalization details.

Findings

Proves the equivalence of the NBI and Kontsevich models for η ≠ 0

Uses Virasoro constraints for normalization and proof

Provides explicit transformation between the models

Abstract

We investigate the NBI matrix model with the potential $X\Lambda+X^{-1}+(2\eta+1)\log X$ recently proposed to describe IIB superstrings. With the proper normalization, using Virasoro constraints, we prove the equivalence of this model and the Kontsevich matrix model for $\eta\ne0$ and find the explicit transformation between the two models.