2010/05/31 by Pawel Caputa, Paweł Caputa, Charlotte Kristjansen +1 · 17 citations
Mathematics · Physics and Astronomy · #Bethe ansatz #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Feynman diagram #Gauge group #Gauge theory #Group (periodic table) #Mathematical physics #Mathematics #Operator (biology) #Orientifold #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Spectrum (functional analysis) #Spin (aerodynamics) #String (physics) #String theory #Symplectic geometry #Symplectic group #hep-th
paper · pdf · doi:10.1007/jhep10(2010)082
published in Journal of High Energy Physics 2010(10) (Springer Nature) · 25 pages, 3 figures. v2: Minor clarifications, section 5 expanded
arxiv created 2010/08/24 · openalex publication_date 2010/10/01 · arxiv updated 2015/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.