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Conformal Field Theories and Holography
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Conformal Field Theories and Holography
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Academic year 2024/2025
- Teacher
- Lorenzo Bianchi
- Degree course
- PhD in Physics
- Year
- 1st year, 2nd year, 3rd year
- Teaching period
- Second semester
- Type
- Basic
- Course disciplinary sector (SSD)
- FIS/02 - theoretical physics, mathematical models and methods
- Delivery
- Traditional
- Language
- English
- Attendance
- Obligatory
- Type of examination
- Oral
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Sommario del corso
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Course objectives
Introduce the basic ideas behind the holographic correspondence, starting with the basics of Conformal Field Theories and the geometry of Anti-de-Sitter space and concluding with a precise understanding of the holographic dictionary.
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Results of learning outcomes
Basic knowledge of Conformal Field Theories and Anti-de-Sitter geometry.
Understanding of the fundational idea of the AdS/CFT correspondence.
Familiarity with top down and bottom up constructions of AdS/CFT.
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Program
This course will introduce the basic ideas behind the holographic correspondence highlighting the two main perspectives on the subject: top down and bottom up. The program includes:- the holographic principle- conformal field theories- Anti de Sitter space- symmetries and isometries- the AdS/CFT correspondence- the holographic dictionary- the top down approach: string theory in AdS5xS5 and N=4 Super Yang Mills theory.- the bottom up approach: gravity in AdS and CFT at the boundary.- brief outline of some applications: entanglement entropy, finite temperature, integrability.Suggested readings and bibliography
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- Book
- Title:
- Gauge/Gravity Duality: Foundations and Applications
- Year of publication:
- 2015
- Publisher:
- Cambridge University Press
- Author:
- Martin Ammon, Johanna Erdmenger
- ISBN
- Required:
- No
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- Article
- Title:
- Large N field theories, string theory and gravity
- Journal title:
- Physics Reports
- Year of publication:
- 2000
- Author:
- Ofer Aharony, Steven S. Gubser, Juan Maldacena, Hirosi Ooguri, Yaron Oz
- DOI:
- Required:
- No
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- Article
- Title:
- TASI lectures on AdS/CFT
- Journal title:
- New Frontiers in Fields and Strings
- Year of publication:
- 2017
- Author:
- Joao Penedones
- DOI:
- Required:
- No
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- Other
- Title:
- Lectures on AdS/CFT from the Bottom Up
- Required:
- No
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- Other
- Title:
- Introduction to the AdS/CFT correspondence
- Required:
- No
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Notes
Timetable:
11/3, 12/3, 13/3
18/3, 19/3, 20/3
25/3, 26/3
1/4, 2/4
Lectures will be held in Aula Fubini from 11:00 to 13:00.
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