Super non-Abelian T-duality
Daniele Bielli, Silvia Penati, Dmitri Sorokin, Martin Wolf
Abstract
We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. As an example, we perform the explicit dualisation of the OSp(1|2) principal chiral model, and, whilst the target superspace of this model is a three-dimensional supergravity background, we find that its super non-Abelian T-dual falls outside the class of such backgrounds.
Topics & Concepts
SuperspaceAbelian groupDuality (order theory)T-dualitySupergravitySigma modelPhysicsSigmaMathematical physicsSpace (punctuation)Pure mathematicsChiral modelMathematicsSupersymmetryQuantum mechanicsComputer scienceNonlinear systemOperating systemString theoryBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons