RT Journal Article
T1 Symplectic deformations of integrable field theories and AdS/CFT
A1 Hollowood, Timothy J.
A1 Miramontes Antas, José Luis
AB Relativistic integrable field theories like the sine-Gordon equation have an infinite set of conserved charges. In a light-front formalism these conserved charges are closely related to the integrable modified KdV hierarchy at the classical level. The latter hierarchy admits a family of symplectic structures which we argue can be viewed as deformations of the relativistic sine-Gordon symplectic structure. These deformed theories are integrable but no longer relativistic and the basic excitations of the theory, the solitons, have an interesting non-relativistic dispersion relation that in a certain limit becomes the dispersion relation of dyonic giant magnons of string theory in the AdS/CFT correspondence. We argue that the deformed classical theories can be lifted to quantum theories when the sine-Gordon theory is embedded in a larger theory that describes the string world-sheet sigma model in AdS5×S5
PB Elsevier
SN 0370-2693
YR 2014
FD 2014
LK http://hdl.handle.net/10347/21366
UL http://hdl.handle.net/10347/21366
LA eng
NO Hollowood, T. and Miramontes, J., 2014. Symplectic deformations of integrable field theories and AdS/CFT. Physics Letters B, 739, 214-217
NO We would like to thank Ben Hoare for earlystage collaboration on this project and for comments on the manuscript. TJH is supported in part by the STFC grant ST/G000506/1. JLM is supported in part by MINECO (FPA2011-22594), the Spanish Consolider – Ingenio 2010 Programme CPAN (CSD2007-00042), Xunta de Galicia (GRC2013-024), and FEDER
DS Minerva
RD 27 abr 2026