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Spiky strings in the SL(2) Bethe Ansatz at strong coupling from AdS/CFT
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Purdue University.
Purdue University.
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 7, 038- p.Article in journal (Refereed) Published
Abstract [en]

We study spiky strings in the context of the SL(2) Bethe ansatz equations. We find an asymmetric distribution of Bethe roots along one cut that determines the all loop anomalous dimension at leading and subleading orders in a large S expansion. At leading order in strong coupling (large lambda) we obtain that the energy of such states is given, in terms of the spin S and the number of spikes n by E-S=n sqrt{lambda}/(2 pi) (ln 16 pi S/(n sqrt{lambda})+ ln sin (pi/n) - 1)+ O(ln S/S). This result matches perfectly the same expansion obtained from the known spiky string classical solution. We then discuss a two cut spiky string Bethe root distribution at one-loop in the SL(2) Bethe ansatz. In this case we find a limit where n goes to infinity, keeping (E+S)/n^2, (E-S)/n, J/n fixed. This is the one loop version of a limit previously considered in the context of the string classical solutions in AdS5 x S5. In that case it was related to a string solution in the AdS pp-wave background.

Place, publisher, year, edition, pages
2009. no 7, 038- p.
Keyword [en]
AdS/CFT, string theory, integrability, Bethe ansatz
National Category
Physical Sciences
Research subject
Theoretical Physics
URN: urn:nbn:se:uu:diva-105765DOI: 10.1088/1126-6708/2009/07/038ISI: 000270219900038OAI: oai:DiVA.org:uu-105765DiVA: diva2:222403
Available from: 2009-06-08 Created: 2009-06-08 Last updated: 2010-07-05Bibliographically approved

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Freyhult, Lisa
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