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Classical and quantum aspects of Yang-Baxter Wess-Zumino models

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  • Published: 07 March 2018
  • Volume 2018, article number 41, (2018)
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Classical and quantum aspects of Yang-Baxter Wess-Zumino models
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  • Saskia Demulder1,
  • Sibylle Driezen  ORCID: orcid.org/0000-0002-8418-53771,
  • Alexander Sevrin1,2 &
  • …
  • Daniel C. Thompson1,3 

  • 471 Accesses

  • 31 Citations

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A preprint version of the article is available at arXiv.

Abstract

We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop β-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is necessary to prevent new couplings being generated by renormalisation. We show these theories admit an elegant realisation of Poisson-Lie T-duality acting as a simple inversion of coupling constants. The self-dual point corresponds to the Wess-Zumino-Witten model and is the IR fixed point under RG. We address the possibility of having supersymmetric extensions of these models showing that extended supersymmetry is not possible in general.

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  1. Theoretische Natuurkunde, Vrije Universiteit Brussel & The International Solvay Institutes, Pleinlaan 2, B-1050, Brussels, Belgium

    Saskia Demulder, Sibylle Driezen, Alexander Sevrin & Daniel C. Thompson

  2. Physics Department, Universiteit Antwerpen, Campus Groenenborger, 2020, Antwerpen, Belgium

    Alexander Sevrin

  3. Department of Physics, Swansea University, Singleton Park, Swansea, SA2 8PP, U.K.

    Daniel C. Thompson

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  1. Saskia Demulder
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Correspondence to Sibylle Driezen.

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ArXiv ePrint: 1711.00084

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Demulder, S., Driezen, S., Sevrin, A. et al. Classical and quantum aspects of Yang-Baxter Wess-Zumino models. J. High Energ. Phys. 2018, 41 (2018). https://doi.org/10.1007/JHEP03(2018)041

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  • Received: 06 November 2017

  • Revised: 07 February 2018

  • Accepted: 28 February 2018

  • Published: 07 March 2018

  • DOI: https://doi.org/10.1007/JHEP03(2018)041

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Keywords

  • Integrable Field Theories
  • Sigma Models
  • String Duality
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