Spinors and Twistors in Loop Gravity and Spin Foams
  Spinorial tools have recently come back to fashion in loop gravity and spin foams. They provide an elegant tool relating the standard holonomy-flux algebra to the twisted geometry picture of the classical phase space on a fixed graph, and to twistors. In these lectures we provide a brief and technical introduction to the formalism and some of its applications. 
Maite Dupuis, Simone Speziale and Johannes Tambornino
gr-qc hep-th