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Fiches de cours 2017-2018
Conformal Field theory and Gravity
PHYS-739
Lecturer(s) :
Augusto Penedones Fernandes João MiguelMeineri Marco
Language:
English
Frequency
Every yearRemarque
Every year / Next time: Fall 2017Summary
This course is an introduction to the non-perturbative bootstrap approach to Conformal Field Theory and to the Gauge/Gravity duality, emphasizing the fruitful interplay between these two ideas.Content
1. Conformal field theory - Conformal transformations, conformal algebra, local operators (primaries and descendants), correlation functions, stress tensor, Weyl invariance, conformal Ward identities, Radial quantization (state-operator map), unitarity bounds, operator product expansion, conformal blocks (Casimir equation), conformal bootstrap, conformal anomaly, embedding space formalism, large N factorization.
2. Anti-de Sitter spacetime - Geometry, particle dynamics, free fields in AdS, interacting fields in AdS.
3. The AdS/CFT correspondence - quantum gravity as CFT, semi-classical limit and the large N expansion, the role of String Theory, black holes and thermodynamics, universal long range forces, entanglement entropy.
Keywords
gauge/gravity duality
conformal bootstrap
Learning Prerequisites
Required courses
Quantum Field Theory, General Relativity
Recommended courses
Advanced Quantum Field Theory
Gauge Theories and the Standard Model
Expected student activities
Understand the Conformal Bootstrap approach to Conformal Field Theory
Understand the AdS/CFT correspondence and its implications for Quantum Gravity
Perform and explain calculations in CFT and Gravity
Resources
Bibliography
Slava Rychkov, lectures notes on CFT, http://arxiv.org/abs/1601.05000
David Simmos-Duffin, lecture notes on CFT, http://arxiv.org/abs/1602.07982
Joao Penedones, lecture notes on AdS/CFT, https://arxiv.org/abs/1608.04948
In the programs
- Semester
- Exam form
Multiple - Credits
4 - Subject examined
Conformal Field theory and Gravity - Lecture
28 Hour(s) - Exercises
28 Hour(s)
- Semester
Reference week
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- Lecture in French
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