Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional

Enno Keßler has studied Mathematics in Leipzig and Rennes. In 2017, he obtained his PhD from the Universität Leipzig while working at the Max-Planck-Institute for Mathematics in the Sciences. His current research interest is in geometry and mathematical physics where he focuses on super Riemann surfaces and their moduli. Besides Mathematics, Enno Keßler is passionate about cycling, open source software and agriculture.

• Introduction.- PART I Super Differential Geometry.- Linear Superalgebra.- Supermanifolds.- Vector Bundles.- Super Lie Groups.- Principal Fiber Bundles.- Complex Supermanifolds.- Integration.- PART II Super Riemann Surfaces.- Super Riemann Surfaces and Reductions of the Structure Group.- Connections on Super Riemann Surfaces.- Metrics and Gravitinos.- The Superconformal Action Functional.- Computations in Wess–Zumino Gauge.