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Two loop integrability for Chern-Simons theories with N=6 supersymmetry
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 057- p.Article in journal (Refereed) Published
Abstract [en]

We consider two-loop anomalous dimensions for fermionic operators in the ABJM model and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a previously predicted Bethe ansatz for the ABJM model. The difference between the ABJ and ABJM models is invisible at the two-loop level due to cancelation of parity violating diagrams. We then construct a Hamiltonian for the full two-loop OSp(6|4) spin chain by first constructing the Hamiltonian for an SL(2|1) subgroup, and then lifting to OSp(6|4). We show that this Hamiltonian is consistent with the Hamiltonian found for the fermionic operators.

Place, publisher, year, edition, pages
2009. no 3, 057- p.
Keyword [en]
AdS-CFT Correspondence, Lattice Integrable Models, Bethe Ansatz
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-129088DOI: 10.1088/1126-6708/2009/03/057ISI: 000265600800057OAI: oai:DiVA.org:uu-129088DiVA: diva2:337561
Available from: 2010-08-06 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Minahan, Joseph A.

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