# Geometry, Gravity and Supersymmetry

24-28 April 2017
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

## Killing spinor identities, spinorial geometry and off-shell supergravities

27 Apr 2017, 16:00
30m
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

### 02.430

#### Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

### 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)

 Slides