All-loop correlators of integrable λ-deformed σ-models

All-loop correlators of integrable λ-deformed σ-models

We compute the 2- and 3-point functions of currents and primary fields of λ-deformed integrable σ-models characterized also by an integer k. Our results apply for any semisimple group G, for all values of the deformation parameter λ and up to order 1/k. We deduce the OPEs and equal-time commutators...

Full description

Bibliographic Details
Main Authors: George Georgiou, Konstantinos Sfetsos, Konstantinos Siampos
Format: Article
Language:English
Published: Elsevier 2016-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316301298
id doaj-5cfbd50120e74890a2409260a8dd71f0
record_format Article
spelling doaj-5cfbd50120e74890a2409260a8dd71f02020-11-24T21:25:48ZengElsevierNuclear Physics B0550-32131873-15622016-08-01909C36039310.1016/j.nuclphysb.2016.05.018All-loop correlators of integrable λ-deformed σ-modelsGeorge Georgiou0Konstantinos Sfetsos1Konstantinos Siampos2Institute of Nuclear and Particle Physics, National Center for Scientific Research Demokritos, Ag. Paraskevi, GR-15310 Athens, GreeceDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, GreeceAlbert Einstein Center for Fundamental Physics, Institute for Theoretical Physics/Laboratory for High-Energy Physics, University of Bern, Sidlerstrasse 5, CH3012 Bern, SwitzerlandWe compute the 2- and 3-point functions of currents and primary fields of λ-deformed integrable σ-models characterized also by an integer k. Our results apply for any semisimple group G, for all values of the deformation parameter λ and up to order 1/k. We deduce the OPEs and equal-time commutators of all currents and primaries. We derive the currents' Poisson brackets which assume Rajeev's deformation of the canonical structure of the isotropic PCM, the underlying structure of the integrable λ-deformed σ-models. We also present analogous results in two limiting cases of special interest, namely for the non-Abelian T-dual of the PCM and for the pseudodual model.http://www.sciencedirect.com/science/article/pii/S0550321316301298
collection DOAJ
language English
format Article
sources DOAJ
author George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
spellingShingle George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
All-loop correlators of integrable λ-deformed σ-models
Nuclear Physics B
author_facet George Georgiou
Konstantinos Sfetsos
Konstantinos Siampos
author_sort George Georgiou
title All-loop correlators of integrable λ-deformed σ-models
title_short All-loop correlators of integrable λ-deformed σ-models
title_full All-loop correlators of integrable λ-deformed σ-models
title_fullStr All-loop correlators of integrable λ-deformed σ-models
title_full_unstemmed All-loop correlators of integrable λ-deformed σ-models
title_sort all-loop correlators of integrable λ-deformed σ-models
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-08-01
description We compute the 2- and 3-point functions of currents and primary fields of λ-deformed integrable σ-models characterized also by an integer k. Our results apply for any semisimple group G, for all values of the deformation parameter λ and up to order 1/k. We deduce the OPEs and equal-time commutators of all currents and primaries. We derive the currents' Poisson brackets which assume Rajeev's deformation of the canonical structure of the isotropic PCM, the underlying structure of the integrable λ-deformed σ-models. We also present analogous results in two limiting cases of special interest, namely for the non-Abelian T-dual of the PCM and for the pseudodual model.
url http://www.sciencedirect.com/science/article/pii/S0550321316301298
work_keys_str_mv AT georgegeorgiou allloopcorrelatorsofintegrableldeformedsmodels
AT konstantinossfetsos allloopcorrelatorsofintegrableldeformedsmodels
AT konstantinossiampos allloopcorrelatorsofintegrableldeformedsmodels
_version_ 1725982681190105088

Similar Items