2009/07/31 by Martin Wolf
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Automorphism #Black Holes and Theoretical Physics #Connection (principal bundle) #Coset #Dimensional reduction #Green–Schwarz mechanism #Homotopy and Cohomology in Algebraic Topology #Sigma #Sigma model #Superstring theory #Twistor theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/09/071
published as JHEP 0909:071,2009 · v3: 16 pages, typos fixed and minor clarifications added
openalex publication_date 2009/09/15 · arxiv created 2010/02/17 · arxiv updated 2010/02/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider superstring sigma models that are based on coset superspaces G/H in which H arises as the fixed point set of an order-4 automorphism of G. We show by means of twistor theory that the corresponding first-order system, consisting of the Maurer-Cartan equations and the equations of motion, arises from a dimensional reduction of some generalised self-dual Yang-Mills equations in eight dimensions. Such a relationship might help shed light on the explicit construction of solutions to the superstring equations including their hidden symmetry structures and thus on the properties of their gauge theory duals.