Symmetries of Large N Matrix Models for Closed Strings

Abstract

We obtain the symmetry algebra of multi-matrix models in the planar large N limit. We use this algebra to associate these matrix models with quantum spin chains. In particular, certain multi-matrix models are exactly solved by using known results of solvable spin chain systems.

12 pages, 1 eps figure, RevTex, some minor typos in the publised version are corrected

Cited by in corpus (13)

• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• Yangian Symmetries of Matrix Models and Spin Chains: The Dilatation Operator of $\mathcal{N}$$=4$ SYM
• Violation of the string hypothesis and Heisenberg XXZ spin chain
• The Dilatation Operator of $\mathcal{N}$ $=$ 4 SYM and Classical Limits of Spin Chains and Matrix Models
• Extraction of parton distributions from lattice QCD
• A Lie Algebra for Closed Strings, Spin Chains and Gauge Theories
• Symmetry Algebras of Large-N Matrix Models for Open Strings
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• A Review of Symmetry Algebras of Quantum Matrix Models in the Large-N Limit
• Integrability of Supersymmetric Quantum Matrix Models in the Large-N Limit
• Poisson Brackets of Normal-Ordered Wilson Loops
• Closed SU(2)_q invariant spin chain and its operator content
• Mass-Gaps and Spin Chains for (Super) Membranes