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Integrability and the AdS(3)/CFT2 correspondence
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
2010 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 3, 058- p.Article in journal (Refereed) Published
Abstract [en]

We investigate the AdS(3)/CFT2 correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3) x S-3 x M-4 where M-4 = T-4 or S-3 x S-1 using the coset approach. These actions are based on a Z(4) automorphism of the super-coset D(2, 1; alpha) x D(2, 1; alpha)/SO(1, 2) x SO(3) x SO(3). The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable. We present the finite gap equations for these actions. When alpha = 0, 1/2, 1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS(3)/CFT2 duals contain novel massless modes whose role remains to be explored.

Place, publisher, year, edition, pages
2010. no 3, 058- p.
Keyword [en]
AdS-CFT Correspondence, Integrable Equations in Physics, Bethe Ansatz, Sigma Models
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-136346DOI: 10.1007/JHEP03(2010)058ISI: 000276798203009OAI: oai:DiVA.org:uu-136346DiVA: diva2:376593
Available from: 2010-12-11 Created: 2010-12-11 Last updated: 2010-12-11Bibliographically approved

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