N=2 3d-Matrix Integral with Myers Term

TL;DR

This paper evaluates an exact matrix integral for a 2x2 3D matrix model with Myers term, deriving expansions and expectation values, with implications for non-commutative gauge theory on fuzzy spheres.

Contribution

It provides an exact evaluation of a 2x2 matrix integral with Myers term and derives expansions and expectation values relevant to non-commutative gauge theories.

Findings

Derived weak and strong coupling expansions of the effective action.

Calculated expectation values of quadratic and cubic operators.

Discussed implications for non-commutative gauge theory on fuzzy sphere.

Abstract

An exact matrix integral is evaluated for a $2\times 2$ 3-dimensional matrix model with Myers term. We derive weak and strong coupling expansions of the effective action. We also calculate the expectation values of the quadratic and cubic operators. Implications for non-commutative gauge theory on fuzzy sphere are discussed.