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

Pawel Piotr Caputa; Charlotte Fløe Kristjansen; Konstantinos Zoubos

doi:10.1007/jhep10(2010)082

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

Pawel Piotr Caputa, Charlotte Fløe Kristjansen, Konstantinos Zoubos

12 Citations (Scopus)

Abstract

We study the spectral problem of M = 4 SYM with gauge group SO(N) and Sp(A). 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. None of these point to the presence of integrability. For orthogonal and symplectic gauge group the dual string theory lives on the orientifold AdS5 × MP⁵. We discuss various issues related to semi-classical strings on this background.

Original language	English
Journal	Journal of High Energy Physics (Online)
Volume	2010
Issue number	10
Pages (from-to)	082
ISSN	1126-6708
DOIs	https://doi.org/10.1007/jhep10(2010)082
Publication status	Published - 23 Oct 2010

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

abstract = "We study the spectral problem of M = 4 SYM with gauge group SO(N) and Sp(A). 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. None of these point to the presence of integrability. For orthogonal and symplectic gauge group the dual string theory lives on the orientifold AdS5 × MP5. We discuss various issues related to semi-classical strings on this background.",

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T1 - On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group

AU - Caputa, Pawel Piotr

AU - Kristjansen, Charlotte Fløe

AU - Zoubos, Konstantinos

PY - 2010/10/23

Y1 - 2010/10/23

N2 - We study the spectral problem of M = 4 SYM with gauge group SO(N) and Sp(A). 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. None of these point to the presence of integrability. For orthogonal and symplectic gauge group the dual string theory lives on the orientifold AdS5 × MP5. We discuss various issues related to semi-classical strings on this background.

AB - We study the spectral problem of M = 4 SYM with gauge group SO(N) and Sp(A). 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. None of these point to the presence of integrability. For orthogonal and symplectic gauge group the dual string theory lives on the orientifold AdS5 × MP5. We discuss various issues related to semi-classical strings on this background.

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SP - 082

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 10

ER -

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

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