2026-06-29T09:25:32Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/241352023-08-26T02:30:36Zcom_20.500.14352_14col_20.500.14352_15

Elliptic solutions in the Neumann-Rosochatius system with mixed flux Hernández Redondo, Rafael Nieto, Juan Miguel 53 ADS(3) X S-3 3-Form flux S-Matrix Spinning strings T-4 Física (Física) 22 Física © 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. 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. Ministerio de Ciencia e Innovación (MCINN), España Banco Santander Central Hispamo (BSCH) Universidad Complutense de Madrid (UCM) Subprograma Ramón y Cajal (RYC) Ministerio de Economía y Competitividad (MINECO), España Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-18T06:46:32Z 2023-06-18T06:46:32Z 2015-06-15 journal article https://hdl.handle.net/20.500.14352/24135 1550-7998 10.1103/PhysRevD.91.126006 eng GR58/08-910770 FPA2011-24568 open access application/pdf American Physical Society