Breaking supersymmetry with pure spinors
Andrea Legramandi, Alessandro Tomasiello
Abstract
A bstract For several classes of BPS vacua, we find a procedure to modify the PDEs that imply preserved supersymmetry and the equations of motion so that they still imply the latter but not the former. In each case we trace back this supersymmetry-breaking deformation to a distinct modification of the pure spinor equations that provide a geometrical interpretation of supersymmetry. We give some concrete examples: first we generalize the Imamura class of Mink 6 solutions by removing a symmetry requirement, and then derive some local and global solutions both before and after breaking supersymmetry.
Topics & Concepts
PhysicsPure spinorSpinorSupersymmetryClass (philosophy)TRACE (psycholinguistics)Interpretation (philosophy)Supersymmetry breakingEquations of motionTheoretical physicsMathematical physicsSymmetry breakingMotion (physics)Symmetry (geometry)Killing spinorParticle physicsR-symmetryVariety (cybernetics)Deformation (meteorology)Supersymmetry algebraAction (physics)SupergravityClassical mechanicsStandard Model (mathematical formulation)Spontaneous symmetry breakingSimple (philosophy)Black Holes and Theoretical PhysicsNonlinear Waves and SolitonsAlgebraic and Geometric Analysis