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On Conservation Laws for the Supersymmetric Sigma Model

2017/03/31 by Volker Branding
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Conservation law #Focus (optics) #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Sigma #Sigma model #Simple (philosophy) #math-ph #math.AP #math.DG #math.MP #msc:53C27 #msc:58E20 #msc:70S10

paper · pdf · doi:10.1007/s00025-017-0756-7

published as Results in Mathematics December 2017, Volume 72, Issue 4

openalex publication_date 2017/10/03 · arxiv created 2017/10/05 · openalex created_date 2017/10/20 · arxiv updated 2017/12/01 · openalex updated_date 2026/08/06

Abstract

We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isometries, where we mostly focus on the spherical case. In addition, we discuss several geometric and analytic applications of the latter.

Citations