On the spectral problem of \(\mathcal{N} = 4\) SYM with orthogonal or symplectic gauge group
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Publication:2251955
DOI10.1007/JHEP10(2010)082zbMATH Open1291.81232arXiv1005.2611OpenAlexW1598304731WikidataQ61897264 ScholiaQ61897264MaRDI QIDQ2251955
Author name not available (Why is that?)
Publication date: 15 July 2014
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1005.2611
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