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

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

2007-03-22

arxiv.org/abs/hep-th/0703202v2

JHEP 0807:044,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 15 pages; comments added on large N limit

Scientific paper

10.1088/1126-6708/2008/07/044

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.

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