# Antoine Van Proeyen (KU Leuven): Supergravity

## Advanced Graduate Lecture Course:

**Lecture Course (260091 VU): March 7 - 29, 2019****Time: 13:15 - 14:45****Start: Thursday, March 7, 2019****Further Dates: March 8, ****March 14, March 15,**** March 22,**** March 28, March 29****Abstract:**

Students with a basic knowledge of supersymmetry will be introduced in the basic ingredients of a supergravity theory. They will learn how to obtain an action that is invariant under a set of local supersymmetry trans-formations satisfying an algebra that contains general coordinate transformations. They will be introduced in the tools that are useful for constructing couplings of matter fields to the simplest supergravity theories: the superconformal calculus. In particular they will in this way obtain the basic structure of N=1 matter-coupled supergravity.

**Content:**

1. A few ingredients. Here could come a bit notation on the spinors, the Rarita-Schwinger field, symmetry transformations in general, and differential geometry.

2. The basic N=1 supergravity in D=4. First a repetition about first and second order formulation of general relativity and then generalizing it to the the basic N=1 supergravity in D=4.

3. Gauged spacetime translations and the superconformal group.

4. The conformal approach to pure N=1 supergravity.

5. Construction of the matter-coupled N=1 supergravity.

6. The physical N=1 matter-coupled supergravity.

**Aim**:

These lectures are intended to learn the students the basic ingredients of a supergravity theory and teach them how to obtain a supergravity theory using the tools of superconformal calculus.