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The SU(2) Wess-Zumino-Witten spin chain sigma model.

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Hernández Redondo, Rafael and Miguel Nieto, Juan and RuizGil, Roberto (2019) The SU(2) Wess-Zumino-Witten spin chain sigma model. Journal of high energy physics (6). ISSN 1029-8479

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Official URL: http://dx.doi.org/10.1007/JHEP06(2019)080


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Abstract

Classical strings propagating in AdS(3) x S-3 x T-4 supported with Neveu-Schwarz-Neveu-Schwarz flux are described by a Wess-Zumino-Witten model. In this note, we study the emergence of their semiclassical SU(2) spectrally flowed sectors as the Landau-Lifshitz limit of the underlying quantum spin chain. We consider the propagator in the coherent state picture, and find that the time interval is discretized proportionally to the lattice spacing. In the Landau-Lifshitz limit, where both time and space become continuous, we derive a path integral representation of the propagator for each spectrally flowed sector. We prove that the arbitrariness of the global phase of coherent states is mapped to the gauge freedom of the B-field in the classical action. We show that higher order corrections in the Landau-Lifshitz limit are suppressed by inverse powers of the 't Hooft coupling.


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© 2019 Springer.
J. M. Nieto and R. Ruiz would like to thank the organizers of the program YRISW 2019: A modern primer for 2D CFT at the Erwin Schrodinger Institute in Vienna for support while this work was being completed. The work of R. H. is supported by grant FPA2014-54154-P and by BSCH-UCM through grant GR3/14-A 910770.

Uncontrolled Keywords:S-3 X T-4; String Theory; ADS(3)
Subjects:Sciences > Physics
ID Code:56935
Deposited On:25 Sep 2019 14:06
Last Modified:25 Sep 2019 14:06

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