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LACES 2021

Lezioni Avanzate di Campi E Stringhe

Galileo Galilei Institute for Theoretical Physics, Arcetri  Italy
November, 29th - December, 17th

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Superconformal Field Theories in 2, 3, and 4 dimensions

Nikolay Bobev - KU Leuven

 
  Summary  
 
The goal of these lectures is to give an introduction to some topics in Superconformal Field Theories (SCFTs) in dimensions d = 3 and d = 4. I will also make some comments about d = 2. The topics I plan to discuss are

1. Introduction to supersymmetry and conformal symmetry

2. Elements of superconformal representation theory

3. The 3d N = 2 Wess-Zumino model

4. An introduction to supersymmetric localization for 3d N = 2 SCFTs: from F-maximization to holography

5. Conformal anomalies for 4d N = 1 SCFTs and a-maximization

6. Conformal anomalies for 2d N = (0; 2) SCFTs and c-extremization

 
 
References

M. J. Strassler, "An Unorthodox introduction to supersymmetric gauge theory," [arXiv:hep- th/0309149 [hep-th]].

C. Cordova, T. T. Dumitrescu and K. Intriligator, "Multiplets of Superconformal Symmetry in Diverse Dimensions," JHEP 03 (2019), 163 [arXiv:1612.00809 [hep-th]].

Philip Argyres, "An Introduction to Global Supersymmetry," lecture notes here

S. S. Pufu, "The F-Theorem and F-Maximization," J. Phys. A 50 (2017) no.44, 443008 [arXiv:1608.02960 [hep-th]].

K. A. Intriligator and B. Wecht, "The Exact superconformal R symmetry maximizes a," Nucl. Phys. B 667 (2003), 183-200 [arXiv:hep-th/0304128 [hep-th]].

F. Benini and N. Bobev, "Two-dimensional SCFTs from wrapped branes and c-extremization," JHEP 06 (2013), 005 [arXiv:1302.4451 [hep-th]].

S. Cremonesi, "An Introduction to Localisation and Supersymmetry in Curved Space," PoS Modave2013 (2013) 002, HERE.

 
 
 
 
Organisers:
Alice Bernamonti
Agnese Bissi
Davide Cassani
Carlo Maccaferri
Noppadol Mekareeya
Secretary:
Annalisa Anichini
Alessandra Gentili
Mauro Morandini
Housing:
Mirella Ridi
Computer assistance:
Alessio Attardi
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