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Lectures at the Second Erlangen Fall School on Quantum Geometry

Recorded Lectures

The lectures held by Prof. Renate Loll, Prof. Bent Ørsted and Prof. Karl-Henning Rehren at the Second Erlangen Fall School on Quantum Geometry were recorded and are available in different viedo formats. The vidoes can be watched under the following link: Recorded lectures

Recommended References

Causal Dynamical Triangulations


Nonperturbative Quantum Gravity
J. Ambjørn, Görlich, J. Jurkiewicz, R. Loll
Physics Reports 519 (2012) 127-212 [arXiv: 1203.3591, hep-th].

Lecture notes

CDT – an Entropic Theory of Quantum Gravity
J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll
[arXiv: 1007.2560, hep-th].

Quantum Gravity as Sum over Spacetimes
J. Ambjørn, J. Jurkiewicz, R. Loll
Lecture Notes in Physics 807 (2010) 59-124 [arXiv: 0906.3947, gr-qc].

Lighter/Introductory reading

Quantum Gravity, from the Entropy of Geometries
J. Ambjørn, J. Jurkiewicz, R. Loll
Europhysics News 42 (2011) 25-28.

The Self-Organizing Quantum Universe
J. Ambjørn, J. Jurkiewicz, R. Loll
Scientific American, Jul 2008, pp. 42-49.


Conformal Quantum Field Theory

Text books

Conformal field theory
P. diFrancesco, P. Mathieu, D. Senechal.

Loop groups
A. Pressley, G. Segal.

A Mathematical Introduction to Conformal Field Theory
M. Schottenloher
Springer Lecture Notes in Physics LNP 759 (2008).

Twodimensional conformal quantum field theory
P. Furlan, G.M. Sotkov, I. Todorov
Rivista del Nuovo Cimento 12 (1989) 1-203.

Lecture notes

Lecture Notes on Conformal QFT, Erlangen
Karl-Henning Rehren
October 2013.

Konforme Quantenfeldtheorie (in German)
K.-H. Rehren.


Representation Theory of Lie Groups

Text books

A course in abstract harmonic analysis
G. B. Folland
CRC Press (1995).

Geometry of Quantum Theory, vol. II
S. Varadarajan
Van Nostrand (1970).

Lie groups and Quantum Mechanics
D. J. Simms
Lecture notes in Mathematics, 52 (1968).

Lecture notes

Representations of Lie groups: Four lectures for physicists
Bent Ørsted
October 2013.


Hopf Algebras, Tensor Categories and Topological Field Theories

Text books

Quantum Groups
C. Kassel
Graduate Texts in Mathematics 155, Springer, Berlin, 1995.


Quantum groups and knot invariants
C. Kassel, M. Rosso, Vl. Turaev
Panoramas et Syntheses, Soc. Math. de France, Paris, 1993.

Lecture notes

Lectures on Hopf algebras
Hans-Jürgen Schneider
Notes by Sonia Natale
Trabajos de Matematica 31/95, FaMAF, 1995.

Hopf algebras, quantum groups and topological field theory
Christoph Schweigert.