Publication: Elliptic solutions in the Neumann-Rosochatius system with mixed flux
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2015-06-15
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American Physical Society
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Closed strings spinning in AdS_3 x S^3 x T^4 with mixed Ramond-Ramond and Neveu-Schwarz-NeveuSchwarz three-form fluxes are described by a deformation of the one-dimensional Neumann-Rosochatius integrable system. In this articlewe find general solutions to this systemthat can be expressed in terms of elliptic functions. We consider closed strings rotating either in S^3 with two different angularmomenta or in AdS_3 with one spin. To find the solutions, we will need to extend the Uhlenbeck integrals of motion of the Neumann-Rosochatius system to include the contribution from the flux. In the limit of pure Neveu-Schwarz-NeveuSchwarz flux, where the problem can be described by a supersymmetricWess-Zumino-Witten model, we find exact expressions for the classical energy in terms of the spin and the angular momenta of the spinning string.
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© 2015 American Physical Society. The work of R. H. is supported by MICINN through a Ramon y Cajal contract and Grant No. FPA2011-24568 and by BSCH-UCM through Grant No. GR58/08-910770. J. M. N. wishes to thank the Instituto de Fisica Teorica UAM-CSIC for kind hospitality during this work.
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