School of 2018


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Twentyfourth School: Heigenbrücken, 10. – 21.09.2018

funded by the Wilhelm and Else Heraeus Foundation

Lecture Program:

G. Dvali
(München)
 p-form gauge theories in physics
M. Hindmarsh
(Sussex)
Phase transitions in the early universe
A. Karch
(Seattle)
Dualities in 2+1 dimensions and beyond
S. Theisen
(Potsdam)
Anomalies in quantum field theory
K. Zarembo
(Stockholm)
Localization and holography

The instruction language is English.
Some lecture notes may appear later and will be made available here

Recommended Literature:

Dvali:

http://arxiv.org/abs/hep-th/0507215
http://arxiv.org/abs/arXiv:1705.06317
https://arxiv.org/pdf/hep-th/0402046.pdf

Polchinski, String Theory
(especially Appendix B.4 on Differential Forms in Vol. II)

Hindmarsh:

Phase transitions in the Universe, M. Gleiser
http://inspirehep.net/record/467957

Basics of Thermal Field Theory, M. Laine and A. Vuorinen
http://inspirehep.net/record/1468954
[Sections 1, 2, 4]

Energy Budget of Cosmological First-order Phase Transitions, J.R.
Espinosa, T. Konstantin, J.M. No, G. Servant
http://inspirehep.net/record/852891
[Sections 1, 2]

Lecture Notes on General Relativity, S. Carroll
http://inspirehep.net/record/451850
[Chapter 6, gravitational waves]

Lectures on cosmic topological defects, T. Vachaspati
https://inspirehep.net/record/540007

Mark Hindmash’s slides

slides_1
slides_2a
slides_2b
slides_3
G-Waves

Karch:

Lectures 15 and 16 of

https://ocw.mit.edu/courses/physics/8-334-statistical-mechanics-ii-statistical-physics-of-fields-spring-2014/index.htm

To cover T-duality and Bosonization in 2d I will mostly follow the book by Di Francesco, Mathieu and Senechal: Conformal Field Theory.Next we will cover dualitues in SUSY field theories in 3+1 and 2+1 dimensions, with N=4,2,1 as well as mirror symmetry in d=3 with N=4

https://arxiv.org/abs/hep-th/9509066

https://arxiv.org/abs/hep-th/9607207

Last but not least we’ll get into non-SUSY dualities in 2+1. No good review exists but useful references are

https://arxiv.org/abs/1805.04472
https://arxiv.org/abs/1606.01893
https://arxiv.org/abs/1609.04012
https://arxiv.org/abs/1606.01893
https://arxiv.org/abs/1606.01989

Theisen:
https://arxiv.org/abs/0802.0634
https://arxiv.org/abs/hep-th/0509097

Bertlmann: Anomalies in Quantum field Theory, Oxford University Press 1996
Any modern book on QFT such as Srednicki’s

Zarembo:
https://arxiv.org/abs/1608.02963
https://arxiv.org/abs/1104.0783
https://arxiv.org/abs/1608.02959
https://arxiv.org/abs/1309.1004
https://arxiv.org/abs/hep-th/9905111