Gauge/Gravity Duality

Lecture: Theoretical Mechanics

Prof. Dr. Johanna Erdmenger

Lecture time:

Tuesday     12 - 14 o'clock, SE 5
Thursday    10 - 12 o'clock, SE 5

Beginning: Tuesday 25. April 12:15 o'clock

The lecture on Thursday, 11.05.2017, will take place at usual time!

Outline

I. Introduction

1. Dualities
2. Holographic principle 
3. General structure of AdS/CFT I

I. Basics

1. Abelian and Non-abelian gauge theories 
2. A lightning review of general relativity 
3. Anti-de Sitter spacetime

III. Quantum field theory for gauge/gravity duality

1. Generating functionals
2. Large N limit of SU(N) gauge theories and planar diagrams 
3. Conformal symmetry 
4. Supersymmetry

IV. A summary of string theory statements

1. Open and closed strings 
2. D-Branes

V. The AdS/CFT correspondence

1. Statement of the correspondence 
2. Near-horizon limit of D3-branes
3. Field-operator correspondence 
4. Supergravity action as generating functional for correlation functions

VI. Tests of the correspondence

1. Correlation functions 
2. Conformal Anomaly

VII. Generalizations and Applications

Reading materials (Books):

Ammon/Erdmenger: Gauge/Gravity Duality.
Carroll: General Relativity.
Peskin/Schroeder: Quantum Field Theory.
Zwiebach: String Theory.

Script:

Script (Version 18.07.2017)
Script (11.05.2017)

Exercise sheets:

1. exercise sheet (due 09.05.2017)
2. exercise sheet (due 23.05.2017)
3. exercise sheet (due 08.06.2017)
4. exercise sheet (due 20.06.2017)
5. exercise sheet (due 04.07.2017)
6. exercise sheet (due 13.07.2017)
7. exercise sheet (due 25.07.2017)