Half-BPS SU(N) Correlators in N=4 SYM

Abstract

In this note we study half-BPS operators in N=4 super Yang-Mills for gauge group SU(N) at finite N. In particular we elaborate on the results of hep-th/0410236, providing an exact formula for the null basis operators algorithmically constructed there. For gauge groups U(N) and SU(N) we show that this basis is dual to the basis of multi-trace operators with respect to the two point function. We use this to extend the results of hep-th/0611290 concerning factorisation and probabilities from U(N) to SU(N). We also give a construction for a separate diagonal basis of the SU(N) operators in terms of the higher Hamiltonians of the complex matrix model reduction of this sector.

LaTeX, 15 pages; comments added on large N limit

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• Schur-Weyl duality as an instrument of Gauge-String duality
• Permutations and the Loop
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Cut-and-join operators and N=4 super Yang-Mills
• ABJM Dibaryon Spectroscopy
• Flavour singlets in gauge theory as Permutations
• D-branes and Orbit Average
• Precision holography of AdS${}_5$ bubbling geometries