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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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Conformal Field Theory and Defects

Chris Herzog - King's College London

 
  Syllabus

 
1) Extending Poincaré to conformal symmetry

2) Constraints of conformal symmetry on correlation functions

3) Conformal symmetry and curved space

4) The Operator Product Expansion (OPE) and conformal blocks

5) The Conformal bootstrap

6) The Trace anomaly

7) Examples with interactions -- phi-four field theory and mixed dimensional QED

 
 
References

 
The lectures were grown from a skeleton that did not include a discussion of boundaries and defects. The structure is based on

L. F. Alday, ``Conformal Field Theory'', class notes from a set of lectures delivered at Oxford University

Two further non-boundary/non-defect CFT references:

S. Rychkov, ``EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions,'' arXiv:1601.05000 [hep-th]

D. Simmons-Duffin, ``TASI Lectures on the Conformal Bootstrap,'' arXiv:1602.07982 [hep-th]

Boundary/Defect References:

There are two classic boundary papers by McAvity and Osborn:

"Conformal field theories near a boundary in general dimensions," arXiv:cond-mat/9505127

"Energy momentum tensor in conformal field theories near a boundary," arXiv:hep-th/9302068

Here is a classic defect reference:

M. Billo, V. Goncalves, E. Lauria, and M. Meineri, ``Defects in conformal field theory,'' arXiv:1601.02883 [hep-th]
 
 
  Course material
 
  Lecture notes  
  Lecture 1 (online)  
  Problems and answers: 1 , 2 , 3 , 4 , 5 , 6  
 
 
 
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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