Anomalous dimensions of heavy operators from magnon energies

Show simple item record de Mello Koch, R. Tahiridimbisoa, N.H. Mathwin, C. 2017-04-13T14:42:11Z 2017-04-13T14:42:11Z 2016-03
dc.identifier.citation de Mello Koch, R. Tahiridimbisoa, N.H and Mathwin, C. 2016. Anomalous dimensions of heavy operators from magnon energies. Journal of High Energy Physics 2016 (3) : Article number 156 en_ZA
dc.identifier.issn 1126-6708 (Print)
dc.identifier.issn 1029-8479 (Online)
dc.description.abstract We study spin chains with boundaries that are dual to open strings suspended between systems of giant gravitons and dual giant gravitons. Motivated by a geometrical interpretation of the central charges of su(2|2), we propose a simple and minimal all loop expression that interpolates between the anomalous dimensions computed in the gauge theory and energies computed in the dual string theory. The discussion makes use of a description in terms of magnons, generalizing results for a single maximal giant graviton. The symmetries of the problem determine the structure of the magnon boundary reflection/scattering matrix up to a phase. We compute a reflection/scattering matrix element at weak coupling and verify that it is consistent with the answer determined by symmetry. We find the reflection/scattering matrix does not satisfy the boundary Yang-Baxter equation so that the boundary condition on the open spin chain spoils integrability. We also explain the interpretation of the double coset ansatz in the magnon language. en_ZA
dc.language.iso en en_ZA
dc.publisher Springer Verlag en_ZA
dc.rights © 2016 de Mello Koch, R. et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( en_ZA
dc.subject 1/N Expansion en_ZA
dc.subject AdS-CFT Correspondence en_ZA
dc.subject Gauge-gravity correspondence en_ZA
dc.title Anomalous dimensions of heavy operators from magnon energies en_ZA
dc.type Article en_ZA
dc.journal.volume 2016 en_ZA
dc.journal.title Journal of High Energy Physics en_ZA
dc.description.librarian NCS2017 en_ZA
dc.citation.doi 10.1007/JHEP03(2016)156 en_ZA
dc.citation.issue 3 en_ZA

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