USp(2k) Matrix Model: F Theory Connection

TL;DR

This paper introduces a zero-dimensional USp(2k) matrix model that captures F theory results, featuring supercharges and an orbifold vacuum, clarifying the spacetime dimensions produced by F theory.

Contribution

It presents a novel USp(2k) matrix model with specific supermultiplets that reproduces F theory results and clarifies the spacetime dimensions involved.

Findings

Model reproduces Sen's F theory results

Identifies 8 dynamical and 8 kinematical supercharges

Features a classical vacuum with orbifold structure

Abstract

We present a zero dimensional matrix model based on $USp(2k)$ with supermultiplets in symmetric, antisymmetric and fundamental representations. The four dimensional compactification of this model naturally captures the exact results of Sen \cite{Sen} in $F$ theory. Eight dynamical and eight kinematical supercharges are found, which is required for critical string interpretation. Classical vacuum has ten coordinates and is equipped with orbifold structure. We clarify the issue of spacetime dimensions which $F$ theory represented by this matrix model produces.