Supersymmetric Geometries in Type IIA Supergravity
Licentiate thesis, 2014

This thesis is about supersymmetric geometries in type IIA supergravity and their classification using spinorial geometry. Appended is our first paper on the topic. There are four types of Killing spinors to treat, distinguished by their isotropy group. The appended paper treats the cases where the isotropy group is Spin(7) or Spin(7) ⋉ ℝ⁸. The first part of the thesis introduces the method and some important concepts that should help the reader understand the paper. After an introduction describing supersymmetry and supergravity, we turn to spinors and the Spin(p, q) groups, and proceed to the Killing spinor equations and the method of spinorial geometry. The method results in a linear system of equations (the exact expression is appended the paper), and in chapter 4 the reader is shown how to go about in simplifying it to arrive at the final expressions found in the paper.

Supersymmetry

Spinorial Geometry

Classification

IIA Supergravity

Fasrummet, Fysiks forskarhus, Chalmers
Opponent: Thomas Van Riet, Postdoctoral Fellow, Department of Physics and Astronomy, Leuven University, Belgium

Author

Christian von Schultz

Chalmers, Fundamental Physics

Supersymmetric geometries of IIA supergravity I

Journal of High Energy Physics,; (2014)p. Art. no. 024-

Journal article

Roots

Basic sciences

Subject Categories

Other Physics Topics

Fasrummet, Fysiks forskarhus, Chalmers

Opponent: Thomas Van Riet, Postdoctoral Fellow, Department of Physics and Astronomy, Leuven University, Belgium

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Created

10/7/2017