On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group

Details On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group

2010-05-14

arxiv.org/abs/1005.2611v2

JHEP 1010:082,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 3 figures. v2: Minor clarifications, section 5 expanded

Scientific paper

10.1007/JHEP10(2010)082

We study the spectral problem of N=4 SYM with gauge group SO(N) and Sp(N). At the planar level, the difference to the case of gauge group SU(N) is only due to certain states being projected out, however at the non-planar level novel effects appear: While 1/N-corrections in the SU(N) case are always associated with splitting and joining of spin chains, this is not so for SO(N) and Sp(N). Here the leading 1/N-corrections, which are due to non-orientable Feynman diagrams in the field theory, originate from a term in the dilatation operator which acts inside a single spin chain. This makes it possible to test for integrability of the leading 1/N-corrections by standard (Bethe ansatz) means and we carry out various such tests. For orthogonal and symplectic gauge group the dual string theory lives on the orientifold AdS5xRP5. We discuss various issues related to semi-classical strings on this background.

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