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Pulsating strings with mixed three-form flux



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Hernández Redondo, Rafael and Nieto, Juan Miguel and Ruiz Caro, Roberto (2018) Pulsating strings with mixed three-form flux. Journal of high energy physics (4). ISSN 1029-8479

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Official URL: http://dx.doi.org/10.1007/JHEP04(2018)078


Circular strings pulsating in AdS_(3) × S^(3) × T^(4) with mixed R–R and NS–NS three-form fluxes can be described by an integrable deformation of the one-dimensional Neumann-Rosochatius mechanical model. In this article we find a general class of pulsating solutions to this integrable system that can be expressed in terms of elliptic functions. In the limit of strings moving in AdS_(3) with pure NS–NS three-form flux, where the action reduces to the SL(2, R) WZW model, we find agreement with the analysis of the classical solutions of the system performed using spectral flow by Maldacena and Ooguri. We use our elliptic solutions in AdS_(3) to extend the dispersion relation beyond the limit of pure NS–NS flux.

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© The Authors. The work of R.H. is supported by grant FPA2014-54154-P and by BSCH-UCM through grant GR3/14-A 910770.

Uncontrolled Keywords:AdS(3) x S(3); Worldsheet S-matrix; Spinning strings; T(4); Phase.
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:48023
Deposited On:04 Jul 2018 08:43
Last Modified:04 Jul 2018 11:13

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