2006/10/31 by Willie Merrell, Leopoldo A. Pando Zayas, Diana Vaman
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Gauge theory #Hamiltonian (control theory) #Homotopy and Cohomology in Algebraic Topology #Moment (physics) #Moment map #Sigma #Sigma model #Space (punctuation) #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/12/039
published as JHEP0712:039,2007 · 33 pages
arxiv created 2007/08/24 · openalex publication_date 2007/12/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We gauge the (2,2) supersymmetric non-linear sigma model whose target space has bihermitian structure (g, B, J±) with noncommuting complex structures. The bihermitian geometry is realized by a sigma model which is written in terms of (2,2) semi-chiral superfields. We discuss the moment map, from the perspective of the gauged sigma model action and from the integrability condition for a Hamiltonian vector field. We show that for a concrete example, the SU(2) x U(1) WZNW model, as well as for the sigma models with almost product structure, the moment map can be used together with the corresponding Killing vector to form an element of T+T* which lies in the eigenbundle of the generalized almost complex structure. Lastly, we discuss T-duality at the level of a (2,2) sigma model involving semi-chiral superfields and present an explicit example.