On the Second Quantization of M(atrix) Theory

TL;DR

This paper explores the second quantization of M(atrix) theory within a free Fock space framework, aiming to unify U(N) supersymmetric Yang-Mills theories and facilitate the study of D-brane dynamics and Lorentz symmetry.

Contribution

It introduces a second quantization approach for M(atrix) theory that supports the embedding of all N in a single system and aids in analyzing D-brane processes.

Findings

Provides a framework for unifying U(N) theories across all N.

Facilitates the study of Lorentz symmetry in M(atrix) theory.

Enables analysis of D-brane creation and annihilation processes.

Abstract

The second quantization of M(atrix) theory in the free (Boltzmannian) Fock space is considered. It provides a possible framework to the recent Susskind proposal that U(N) supersymmetic Yang-Mills theories for all N might be embedded in a single dynamical system. The second quantization of M(atrix) theory can also be useful for the study of the Lorentz symmetry and for the consideration of processes with creation and annihilation of D-branes.