RT Journal Article
T1 The SU(2) Wess-Zumino-Witten spin chain sigma model.
A1 Hernández Redondo, Rafael
A1 Miguel Nieto, Juan
A1 Ruiz Gil, Roberto
AB 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.
PB Springer
SN 1029-8479
YR 2019
FD 2019-06-18
LK https://hdl.handle.net/20.500.14352/13540
UL https://hdl.handle.net/20.500.14352/13540
LA eng
NO © 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.
NO Ministerio de Economía y Competitividad (MINECO)
NO Universidad Complutense de Madrid/Banco de Santander
DS Docta Complutense
RD 2 may 2024