2007/06/30 by Roberto Zucchini · 2 citations
Mathematics · Physics and Astronomy · #Absolute geometry #Algebraic structures and combinatorial models #Complex geometry #Computer science #Convex geometry #Convex set #Differential geometry #Geometry #Geometry and topology #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Ordered geometry #Poisson distribution #Poisson's equation #Projective geometry #Reduction (mathematics) #Regular polygon #Riemannian geometry #Space (punctuation) #Symmetry (geometry) #Synthetic geometry #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1088/1126-6708/2007/10/075
published as JHEP 0710:075,2007 · 38 pages, no figures, LaTex. One paragraph in sect. 6 and 3 references added
arxiv created 2007/07/20 · openalex publication_date 2007/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revisit our earlier work on the AKSZ formulation of topological sigma model on generalized complex manifolds, or Hitchin model. We show that the target space geometry geometry implied by the BV master equations is Poisson--quasi--Nijenhuis geometry recently introduced and studied by Stiénon and Xu (in the untwisted case). Poisson--quasi--Nijenhuis geometry is more general than generalized complex geometry and comprises it as a particular case. Next, we show how gauging and reduction can be implemented in the Hitchin model. We find that the geometry resulting form the BV master equation is closely related to but more general than that recently described by Lin and Tolman, suggesting a natural framework for the study of reduction of Poisson--quasi--Nijenhuis manifolds.