THE ALGEBRAS OF LARGE N MATRIX MECHANICS

DOI10.1142/S0217751X99001482zbMath1079.81575arXivhep-th/9809197MaRDI QIDQ4949021

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Publication date: 27 April 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9809197

zbMATH Keywords

supersymmetryCuntz algebrasMatrix mechanics

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Groups and algebras in quantum theory (81R99) General mathematical topics and methods in quantum theory (81Q99)

Related Items

Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics, LARGE N MATRIX MECHANICS ON THE LIGHT-CONE, Super-Grassmannian and large N limit of quantum field theory with bosons and fermions, A free-algebraic solution for the planar approximation, INFINITE-DIMENSIONAL FREE ALGEBRA AND THE FORMS OF THE MASTER FIELD, Supersymmetric D3 brane and \(N=4\) SYM actions in plane wave backgrounds, On the large \(N\) limit of conformal field theory

Cites Work

• Addition of certain non-commuting random variables
• A method of integration over matrix variables
• Simple \(C^*\)-algebras generated by isometries
• \(q\)-Gaussian processes: Non-commutative and classical aspects
• Planar diagrams
• Mastering the master field
• Bound states of strings and \(p\)-branes
• The master field for QCD and \(q\)-deformed quantum field theory
• THE MASTER FIELD FOR LARGE-N MATRIX MODELS AND QUANTUM GROUPS
• Fierz identities for real Clifford algebras and the number of supercharges
• Example of infinite statistics
• The planar approximation. II
• Large \(N\) gauge theory---expansions and transitions