Exact Multi-Matrix Correlators

Abstract

We argue that restricted Schur polynomials provide a useful parameterization of the complete set of gauge invariant variables of multi-matrix models. The two point functions of restricted Schur polynomials are evaluated exactly in the free field theory limit. They have diagonal two point functions.

13+1 pages; v1:minor improvements in presentation and refs added; v2: additional comments in finite N counting; v3: Final JHEP version

References in corpus (11)

• Single-top hadroproduction in association with a W boson
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Giant Gravitons - with Strings Attached (III)
• Counting BPS operators in N=4 SYM
• Giant Gravitons - with Strings Attached (II)
• Giant Gravitons - with Strings Attached (I)
• Permutations and the Loop
• Correlators, Probabilities and Topologies in N=4 SYM
• Half-BPS SU(N) Correlators in N=4 SYM
• Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics

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