Generalised integrable λ - and η -deformations and their relation

Konstantinos Sfetsos (Department of Nuclear and Particle Physics, Faculty of Physics, University of Athens, Athens, 15784, Greece; Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, Bern, CH3012, Switzerland) ; Konstantinos Siampos (Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, Bern, CH3012, Switzerland) ; Daniel C. Thompson (Theoretische Natuurkunde, Vrije Universiteit Brussel, The International Solvay Institutes, Pleinlaan 2, Brussels, B-1050, Belgium)

We construct two-parameter families of integrable λ -deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang–Baxter generalisations of η -deformations via Poisson–Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang–Baxter σ -model for a general group is one-loop renormalisable.

{
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/3.0/", 
      "license": "CC-BY-3.0"
    }
  ], 
  "copyright": [
    {
      "statement": "The Authors"
    }
  ], 
  "control_number": "11587", 
  "_oai": {
    "updated": "2018-04-19T11:27:29Z", 
    "id": "oai:repo.scoap3.org:11587", 
    "sets": [
      "NPB"
    ]
  }, 
  "authors": [
    {
      "raw_name": "Sfetsos, Konstantinos", 
      "affiliations": [
        {
          "country": "Greece", 
          "value": "Department of Nuclear and Particle Physics, Faculty of Physics, University of Athens, Athens, 15784, Greece"
        }, 
        {
          "country": "Switzerland", 
          "value": "Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, Bern, CH3012, Switzerland"
        }
      ], 
      "surname": "Sfetsos", 
      "given_names": "Konstantinos", 
      "full_name": "Sfetsos, Konstantinos"
    }, 
    {
      "raw_name": "Siampos, Konstantinos", 
      "affiliations": [
        {
          "country": "Switzerland", 
          "value": "Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, Bern, CH3012, Switzerland"
        }
      ], 
      "surname": "Siampos", 
      "given_names": "Konstantinos", 
      "full_name": "Siampos, Konstantinos"
    }, 
    {
      "raw_name": "Thompson, Daniel C.", 
      "affiliations": [
        {
          "country": "Belgium", 
          "value": "Theoretische Natuurkunde, Vrije Universiteit Brussel, The International Solvay Institutes, Pleinlaan 2, Brussels, B-1050, Belgium"
        }
      ], 
      "surname": "Thompson", 
      "given_names": "Daniel C.", 
      "full_name": "Thompson, Daniel C."
    }
  ], 
  "_files": [
    {
      "checksum": "md5:ddfa6cf4aa2dd65931f610fbe1a209ab", 
      "filetype": "pdf", 
      "bucket": "c9f05308-dde8-4d37-95c2-d078d4f1b85e", 
      "version_id": "7a23595f-31c8-4e8b-b540-0f7ed7b575c6", 
      "key": "10.1016/j.nuclphysb.2015.08.015.pdf", 
      "size": 441396
    }, 
    {
      "checksum": "md5:edd8384e85e2ddaa2660090f2731fb82", 
      "filetype": "xml", 
      "bucket": "c9f05308-dde8-4d37-95c2-d078d4f1b85e", 
      "version_id": "7d2f625e-22c1-4b3a-9672-bccb1da6314b", 
      "key": "10.1016/j.nuclphysb.2015.08.015.xml", 
      "size": 443749
    }, 
    {
      "checksum": "md5:2ba8acc1b6a8b1a225fcc9848962ee5a", 
      "filetype": "pdf/a", 
      "bucket": "c9f05308-dde8-4d37-95c2-d078d4f1b85e", 
      "version_id": "d16dfd06-2112-4f0f-85ac-a333d8db3574", 
      "key": "10.1016/j.nuclphysb.2015.08.015_a.pdf", 
      "size": 747184
    }
  ], 
  "record_creation_date": "2015-08-27T00:00:00", 
  "titles": [
    {
      "source": "Elsevier", 
      "title": "Generalised integrable \u03bb - and \u03b7 -deformations and their relation"
    }
  ], 
  "dois": [
    {
      "value": "10.1016/j.nuclphysb.2015.08.015"
    }
  ], 
  "publication_info": [
    {
      "journal_title": "Nuclear Physics B", 
      "material": "article", 
      "year": 2015
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We construct two-parameter families of integrable \u03bb -deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang\u2013Baxter generalisations of \u03b7 -deformations via Poisson\u2013Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang\u2013Baxter \u03c3 -model for a general group is one-loop renormalisable."
    }
  ], 
  "imprints": [
    {
      "date": "2015-08-20", 
      "publisher": "Elsevier"
    }
  ], 
  "acquisition_source": {
    "date": "2015-08-27T00:00:00", 
    "source": "Elsevier", 
    "method": "scoap3", 
    "submission_number": "f6907c3443c211e898b102163e01809a"
  }
}
Published on:
20 August 2015
Publisher:
Elsevier
Published in:
Nuclear Physics B (2015)

DOI:
https://doi.org/10.1016/j.nuclphysb.2015.08.015
Copyrights:
The Authors
Licence:
CC-BY-3.0

Fulltext files: