We analyze the renormalization group flow in a recently constructed class of integrable σ -models which interpolate between WZW current algebra models and the non-Abelian T-duals of PCM for a simple group G . They are characterized by the integer level k of the current algebra, a deformation parameter λ and they exhibit a remarkable invariance involving the inversion of λ . We compute the β -function for λ to leading order in 1k . Based on agreement with previous results for the exact β -function of the non-Abelian bosonized Thirring model and matching global symmetries, we state that our integrable models are the resummed version (capturing all counterterms in perturbation theory) of the non-Abelian bosonized Thirring model for a simple group G . Finally, we present an analogous treatment in a simple example of a closely related class of models interpolating between gauged WZW coset CFTs and the non-Abelian T-duals of PCM for the coset G/H .
{ "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "statement": "The Authors" } ], "control_number": "2310", "_oai": { "updated": "2018-04-18T13:14:48Z", "id": "oai:repo.scoap3.org:2310", "sets": [ "PLB" ] }, "authors": [ { "raw_name": "Itsios, Georgios", "affiliations": [ { "country": "Greece", "value": "Department of Mathematics, University of Patras, Patras, 26110, Greece" } ], "surname": "Itsios", "given_names": "Georgios", "full_name": "Itsios, Georgios" }, { "raw_name": "Sfetsos, Konstadinos", "affiliations": [ { "country": "Greece", "value": "Department of Physics, University of Athens, Athens, 15771, Greece" } ], "surname": "Sfetsos", "given_names": "Konstadinos", "full_name": "Sfetsos, Konstadinos" }, { "raw_name": "Siampos, Konstadinos", "affiliations": [ { "country": "Belgium", "value": "M\u00e9canique et Gravitation, Universit\u00e9 de Mons, Mons, 7000, Belgium" } ], "surname": "Siampos", "given_names": "Konstadinos", "full_name": "Siampos, Konstadinos" } ], "_files": [ { "checksum": "md5:2a189575e6d84e40218b018c88297c09", "filetype": "xml", "bucket": "4f0ba754-1664-40e1-a48a-aed81acfbeed", "version_id": "293d6035-d7de-49db-9a78-cba37cc0d505", "key": "10.1016/j.physletb.2014.04.061.xml", "size": 135155 }, { "checksum": "md5:22abcace33b03e5b9de65c7442f80c5b", "filetype": "pdf", "bucket": "4f0ba754-1664-40e1-a48a-aed81acfbeed", "version_id": "2b6dd283-6ce9-49bf-980a-66ea4aff5f5e", "key": "10.1016/j.physletb.2014.04.061.pdf", "size": 218868 }, { "checksum": "md5:08921811df3149288a02e0d05f46ac1d", "filetype": "pdf/a", "bucket": "4f0ba754-1664-40e1-a48a-aed81acfbeed", "version_id": "01421af7-0d11-46e9-b0e3-d7be269db806", "key": "10.1016/j.physletb.2014.04.061_a.pdf", "size": 566695 } ], "record_creation_date": "2014-05-05T00:00:00", "titles": [ { "source": "Elsevier", "title": "The all-loop non-Abelian Thirring model and its RG flow" } ], "dois": [ { "value": "10.1016/j.physletb.2014.04.061" } ], "publication_info": [ { "journal_title": "Physics Letters B", "material": "article", "year": 2014 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "abstracts": [ { "source": "Elsevier", "value": "We analyze the renormalization group flow in a recently constructed class of integrable \u03c3 -models which interpolate between WZW current algebra models and the non-Abelian T-duals of PCM for a simple group G . They are characterized by the integer level k of the current algebra, a deformation parameter \u03bb and they exhibit a remarkable invariance involving the inversion of \u03bb . We compute the \u03b2 -function for \u03bb to leading order in 1k . Based on agreement with previous results for the exact \u03b2 -function of the non-Abelian bosonized Thirring model and matching global symmetries, we state that our integrable models are the resummed version (capturing all counterterms in perturbation theory) of the non-Abelian bosonized Thirring model for a simple group G . Finally, we present an analogous treatment in a simple example of a closely related class of models interpolating between gauged WZW coset CFTs and the non-Abelian T-duals of PCM for the coset G/H ." } ], "imprints": [ { "date": "2014-05-05", "publisher": "Elsevier" } ], "acquisition_source": { "date": "2014-05-05T00:00:00", "source": "Elsevier", "method": "scoap3", "submission_number": "37226564430511e898b102163e01809a" } }