2008/05/21 by C.M Hull, C. M. Hull, U. Lindstrom +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Complexification #Euclidean distance matrix #Euclidean geometry #Metric (unit) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Sigma #Sigma model #Supersymmetry #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/06/031
published as JHEP 0806:031,2008 · 8 pages
arxiv created 2008/05/21 · openalex publication_date 2008/06/10 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss two dimensional N-extended supersymmetry in Euclidean signature and its R-symmetry. For N=2, the R-symmetry is SO(2)× SO(1,1), so that only an A-twist is possible. To formulate a B-twist, or to construct Euclidean N=2 models with H-flux so that the target geometry is generalised Kahler, it is necessary to work with a complexification of the sigma models. These issues are related to the obstructions to the existence of non-trivial twisted chiral superfields in Euclidean superspace.