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

Saskia Demulder, Sibylle Driezen, Alexandre Sevrin, Daniel C. Thompson

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 $-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.
Original languageEnglish
Article number41
Number of pages38
JournalThe Journal of high energy physics
Volume2018
Issue number3
DOIs
Publication statusPublished - 7 Mar 2018

Keywords

  • Integrable Field Theories
  • Sigma Models
  • String Duality

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