Speaker
Dr
Peter Sloane
(Mesoamerican Centre for Theoretical Physics, Universidad Autonoma de Chiapas, Mexico)
Description
Killing spinor identities relate (components of) the equations of motion of supergravity theories for supersymmetric solutions to one another, and tell us which of them are automatic for a given supergravity background. In the context of off-shell supergravities they are valid for any possible Lagrangian with the same matter content, including higher derivative and string theory corrected theories. Using spinorial geometry techniques we discuss in detail the example of the supersymmetric solutions of $\mathcal{N}=2, d=5$ supergravity with Weyl tensor squared and Ricci scalar squared corrections in a consistent truncation which is sufficient to capture the corrections at first order in the ungauged theory, and comment briefly on the general untrunacted case, focusing on the maximally supersymmetric solutions.
Primary author
Dr
Peter Sloane
(Mesoamerican Centre for Theoretical Physics, Universidad Autonoma de Chiapas, Mexico)