2017/11/30 by Saskia Demulder, Sibylle Driezen, Alexander Sevrin +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Chiral model #Connection (principal bundle) #Homotopy and Cohomology in Algebraic Topology #Integrable system #Point (geometry) #Quantum #Realisation #Singularity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep03(2018)041
44 pages; 4 figures; v2: references added; v3: published version, text edited and restructured, result added on CFT operators driving the flow
openalex created_date 2017/11/10 · openalex publication_date 2018/03/01 · arxiv created 2018/03/26 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
A bstract 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.