2018/11/30 by Francois Delduc, F. Delduc, B. Hoare +7 · 23 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Deformation (meteorology) #Diagonal #Homotopy and Cohomology in Algebraic Topology #Integrable system #Permutation (music) #Space (punctuation) #Supergroup #hep-th
paper · pdf · doi:10.1007/jhep01(2019)109
published in Journal of High Energy Physics 2019(1) (Springer Nature) · 25 pages, published version
openalex publication_date 2019/01/01 · arxiv created 2019/01/07 · arxiv updated 2019/01/17 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/06
A bstract A three-parameter integrable deformation of ℤ 4 permutation supercosets is constructed. These supercosets are of the form \widehatF/F0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>F</mml:mi> <mml:mo>^</mml:mo> </mml:mover> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>F</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:math> where F 0 is the bosonic diagonal subgroup of the product supergroup \widehatF=\widehatG× \widehatG <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>F</mml:mi> <mml:mo>^</mml:mo> </mml:mover> <mml:mo>=</mml:mo> <mml:mover> <mml:mi>G</mml:mi> <mml:mo>^</mml:mo> </mml:mover> <mml:mo>×</mml:mo> <mml:mover> <mml:mi>G</mml:mi> <mml:mo>^</mml:mo> </mml:mover> </mml:math> . They include the AdS 3 × S 3 and AdS 3 × S 3 × S 3 supercosets. This deformation encompasses both the bi-Yang-Baxter deformation of the semi-symmetric space σ -model on ℤ 4 permutation supercosets and the mixed flux model. Truncating the action at the bosonic level, we show that one recovers the bi-Yang-Baxter deformation of the principal chiral model plus Wess-Zumino term.