2010/04/30 by P. S. Howe, G. Papadopoulos, George Papadopoulos +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Context (archaeology) #Cosmological constant #Heterotic string theory #Holonomy #Homotopy and Cohomology in Algebraic Topology #Killing spinor #Noncommutative and Quantum Gravity Theories #Spacetime #Spinor #Supergravity #hep-th #math.DG
paper · pdf · doi:10.1007/jhep09(2010)100
published as JHEP 1009:100,2010 · 33 pages, minor modifications, version published in JHEP
openalex publication_date 2010/09/01 · arxiv created 2010/10/14 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The symmetries of two-dimensional supersymmetric sigma models on target spaces with covariantly constant forms associated to special holonomy groups are analysed. It is shown that each pair of such forms gives rise to a new one, called a Nijenhuis form, and that there may be further reductions of the structure group. In many cases of interest there are also covariantly constant one-forms which also give rise to symmetries. These geometries are of interest in the context of heterotic supergravity solutions and the associated reductions are studied from a spacetime point of view via the Killing spinor equations.