Little IIB Matrix Model

TL;DR

This paper explores a zero-dimensional matrix model linked to six-dimensional (2,0) Little String Theory, revealing non-gravitational interactions and constructing relevant wave functions and operators.

Contribution

It proposes a matrix model that captures key features of (2,0) Little String Theory and constructs associated wave functions and vertex operators.

Findings

Force between matrices behaves as 1/r^4, indicating six-dimensional spacetime

Non-gravitational interactions dominate in the model

Constructed wave functions and vertex operators for the (2,0) tensor representation

Abstract

We study the zero-dimensional reduced model of D=6 pure super Yang-Mills theory and argue that the large N limit describes the (2,0) Little String Theory. The one-loop effective action shows that the force exerted between two diagonal blocks of matrices behaves as 1/r^4, implying a six-dimensional spacetime. We also observe that it is due to non-gravitational interactions. We construct wave functions and vertex operators which realize the D=6, (2,0) tensor representation. We also comment on other "little" analogues of the IIB matrix model and Matrix Theory with less supercharges.