Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory

TL;DR

This paper proves the uniqueness of a specific fermionic state in Matrix Theory that is invariant under Spin(9) and SU(2) symmetries, using gamma matrix identities.

Contribution

It provides a rigorous proof that only one such invariant fermionic state exists, clarifying the structure of the theory's invariant states.

Findings

Only one Spin(9)xSU(2) invariant fermionic state exists.

The proof involves complex gamma matrix identities.

The result constrains the possible states in Matrix Theory.

Abstract

We explicitly prove, using some nontrivial identities involving gamma matrices, that there can be only one Spin(9)xSU(2) invariant state which depends only on fermionic variables.