Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: The Hamiltonian framework of large N matrix mechanics provides a natural setting in which to study the algebras of the large N limit, including (reduced) Lie algebras, (reduced) supersymmetry algebras and free algebras. We find in particular a broad array of new free algebras which we call symmetric Cuntz algebras, interacting symmetric Cuntz algebras, symmetric Bose/Fermi/Cuntz algebras and symmetric Cuntz superalgebras, and we discuss the role of these algebras in solving the large N theory. Most important, the interacting Cuntz algebras are associated to a set of new (hidden!) local quan...
We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algeb...
International audienceWe define a new large N limit for general $\text {O}(N)^{R}$ or $\text {U}(N)^...
Many physical systems like supersymmetric Yang-Mills theories are formulated as quantum matrix model...
Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and su...
Understanding the large N limit of multi-matrix models in the Hamiltonian formalism is central to an...
In this paper, we extend the recent analysis of the new large D limit of matrix models to the cases ...
We have discovered that the gauge invariant observables of matrix models invariant under U($N$) form...
The general features of the 1/N expansion in statistical mechanics and quantum field theory are bri...
The general features of the 1/N expansion in statistical mechanics and quantum field theory are bri...
The algebraic formulation of large N matrix mechanics recently developed by Halpern and Schwartz lea...
We describe the implications of permutation symmetry for the state space and dynamics of quantum mec...
Large N matrix models play an important role in modern theoretical physics, ranging from quantum chr...
We define a new large N limit for general O (N) R or U (N) R invariant tensor models, based on an en...
The first part of this work deals with some new large N ideas for the YMH model in three dimensions...
The first part of this work deals with some new large N ideas for the YMH model in three dimensions...
We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algeb...
International audienceWe define a new large N limit for general $\text {O}(N)^{R}$ or $\text {U}(N)^...
Many physical systems like supersymmetric Yang-Mills theories are formulated as quantum matrix model...
Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and su...
Understanding the large N limit of multi-matrix models in the Hamiltonian formalism is central to an...
In this paper, we extend the recent analysis of the new large D limit of matrix models to the cases ...
We have discovered that the gauge invariant observables of matrix models invariant under U($N$) form...
The general features of the 1/N expansion in statistical mechanics and quantum field theory are bri...
The general features of the 1/N expansion in statistical mechanics and quantum field theory are bri...
The algebraic formulation of large N matrix mechanics recently developed by Halpern and Schwartz lea...
We describe the implications of permutation symmetry for the state space and dynamics of quantum mec...
Large N matrix models play an important role in modern theoretical physics, ranging from quantum chr...
We define a new large N limit for general O (N) R or U (N) R invariant tensor models, based on an en...
The first part of this work deals with some new large N ideas for the YMH model in three dimensions...
The first part of this work deals with some new large N ideas for the YMH model in three dimensions...
We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algeb...
International audienceWe define a new large N limit for general $\text {O}(N)^{R}$ or $\text {U}(N)^...
Many physical systems like supersymmetric Yang-Mills theories are formulated as quantum matrix model...