Description
The AdS/CFT correspondence conjectures an exact equivalence between string theories in anti-de-Sitter space and gauge theories. This correspondence and its generalizations allow one to address difficult problems of strongly coupled field theory dynamics - such as the computation of Wilson loops - using weakly coupled gravity. The other way around, it also allows one to tackle fundamental questions of gravity - such as the quantum entropy of black holes - using field theoretic methods.

A very important theoretical development of the last decade has been the advent of exact results in supersymmetric field theories using the methods of localization. These methods often reduce path-integrals to finite-dimensional integrals, which in many situations can be computed exactly. Being exact, localization results are most fruitfully applied at strong coupling, and thus provide a powerful framework for producing and exploiting AdS/CFT results. In particular, the interplay of localization and the AdS/CFT correspondence provides a fertile ground to answer precise questions about the entropy of string theoretic black holes and the expectation values of Wilson loops.

This School aims to provide the necessary knowledge to work at the interface of supersymmetric localization and holography, through a series of pedagogical lectures by individual speakers. The activity is intended for students in theoretical physics or mathematics and postdocs with knowledge of quantum field theory, general relativity and string theory.


TOPICS:
 
  • Supersymmetric localization
  • 4D N=2 supergravity
  • AdS black hole entropy
  • Localization in supergravity
  • Wilson loops
  • Quantum entropy of black holes

LECTURERS include:

Francesco BENINI (SISSA)
Joao GOMES (University of Amsterdam)
Sameer MURTHY (King's College London)
Ioannis N. PAPADIMITRIOU (KIAS)
Diego TRANCANELLI (University of São Paulo)
Stefan VANDOREN (Utrecht University)
Alberto ZAFFARONI (Milano-Bicocca)


The School will be followed by a focused Workshop on Supersymmetric Localization and Holography: Black Hole Entropy and Wilson Loops (smr3227) from 9 to 13 July (http://indico.ictp.it/event/8326), with the goal of bringing together experts in the areas of localization and holography, to provide cross fertilization and outline key directions for the future.

There is no registration fee for this activity.
Go to day
  • Monday, 2 July 2018
    • 08:30 - 17:15 Monday, 2 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 08:30 Administrative Formalities 30'
      • 09:00 Introduction to Localization - Lecture I 1h0'
        Speaker: Leopoldo PANDO ZAYAS (University of Michigan)
        Material: Video
      • 10:00 REGISTRATION 30' ( Adriatico Guest House - Giambiagi Lecture Hall Area (Lower Level 1) )
      • 10:00 Coffee Break 30' ( Adriatico Guest House - Terrace )
      • 10:30 4D N=2 Supergravity and BPS Black Holes - Lecture I 1h0'
        Speaker: Stefan Vandoren (Utrecht University)
        Material: Video
      • 11:45 Introduction to Localization - Lecture II 1h0'
        Speaker: Francesco Benini (SISSA)
        Material: Video
      • 12:45 Lunch Break 2h15' ( Adriatico Guest House - Cafeteria )
      • 15:00 Introduction to supersymmetric Wilson loops - Lecture I 1h0'
        Speaker: Diego Trancanelli (University of São Paulo)
        Material: Lecture Notes Problem Set Video
      • 16:15 4D N=2 Supergravity and BPS Black Holes - Lecture II 1h0'
        Speaker: Stefan Vandoren (Utrecht University)
        Material: Video
  • Tuesday, 3 July 2018
    • 09:00 - 17:15 Tuesday, 3 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 09:00 Introduction to Localization - Lecture III 1h0'
        Speaker: Francesco Benini (SISSA)
        Material: Video
      • 10:00 Coffee Break 30' ( Adriatico Guest House - Terrace )
      • 10:30 4D N=2 Supergravity and BPS Black Holes - Lecture III 1h0'
        Speaker: Stefan Vandoren (Utrecht University)
        Material: Video
      • 11:45 Holographic Renormalization and Supersymmetry - Lecture I 1h0'
        Speaker: Ioannis N. Papadimitriou (KIAS)
        Material: Lecture Notes Video
      • 12:45 Lunch Break 2h15' ( Adriatico Guest House - Cafeteria )
      • 15:00 Introduction to supersymmetric Wilson loops - Lecture II 1h0'
        Speaker: Diego Trancanelli (University of São Paulo)
        Material: Video
      • 16:15 Discussion Session 1h0'
    • 19:30 - 21:30 Dinner Reception
      Location: Adriatico Guest House - Cafeteria/Terrace
  • Wednesday, 4 July 2018
    • 09:00 - 17:15 Wednesday, 4 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 09:00 Introduction to Localization - Lecture IV 1h0'
        Speaker: Francesco Benini (SISSA)
        Material: Video
      • 10:00 Coffee Break 30' ( Adriatico Guest House - Terrace )
      • 10:30 4D N=2 Supergravity and BPS Black Holes - Lecture IV 1h0'
        Speaker: Stefan Vandoren (Utrecht University)
        Material: Video
      • 11:45 Localization and AdS Black Hole Entropy - Lecture I 1h0'
        Speaker: Alberto Zaffaroni (Milano-Bicocca)
        Material: Lecture Notes Video
      • 12:45 Lunch Break 2h15' ( Adriatico Guest House - Cafeteria )
      • 15:00 Quantum black hole entropy and localization in supergravity - Lecture I 1h0'
        Speaker: Sameer Murthy (King's College London)
        Material: Lecture Notes Video
      • 16:15 Discussion Session 1h0'
  • Thursday, 5 July 2018
    • 09:00 - 17:15 Thursday, 5 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 09:00 Localization and AdS Black Hole Entropy - Lecture II 1h0'
        Speaker: Alberto Zaffaroni (Milano-Bicocca)
        Material: Video
      • 10:00 Group Photograph 5' ( Adriatico Guest House - Terrace )
      • 10:05 Coffee Break 25' ( Adriatico Guest House - Terrace )
      • 10:30 Quantum black hole entropy and localization in supergravity - Lecture II 1h0'
        Speaker: Sameer Murthy (King's College London)
        Material: Video
      • 11:45 Exact black hole entropy and Chern-Simons theory - Lecture I 1h0'
        Speaker: Joao Gomes (University of Amsterdam)
        Material: Lecture Notes Video
      • 12:45 Lunch Break 2h15' ( Adriatico Guest House - Cafeteria )
      • 15:00 Introduction to supersymmetric Wilson loops - Lecture III 1h0'
        Speaker: Diego Trancanelli (University of São Paulo)
        Material: Video
      • 16:15 Holographic Renormalization and Supersymmetry - Lecture II 1h0'
        Speaker: Ioannis N. Papadimitriou (KIAS)
        Material: Video
  • Friday, 6 July 2018
    • 09:00 - 17:15 Friday, 6 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 09:00 Localization and AdS Black Hole Entropy - Lecture III 1h0'
        Speaker: Alberto Zaffaroni (Milano-Bicocca)
        Material: Video
      • 10:00 Coffee Break 30' ( Adriatico Guest House - Terrace )
      • 10:30 Quantum black hole entropy and localization in supergravity - Lecture III 1h0'
        Speaker: Sameer Murthy (King's College London)
        Material: Video
      • 11:45 Exact black hole entropy and Chern-Simons theory - Lecture II 1h0'
        Speaker: Joao Gomes (University of Amsterdam)
        Material: Lecture Notes Video
      • 12:45 Lunch Break 2h15' ( Adriatico Guest House - Cafeteria )
      • 15:00 Introduction to supersymmetric Wilson loops - Lecture IV 1h0'
        Speaker: Diego Trancanelli (University of São Paulo)
        Material: Video
      • 16:15 Discussion Session 1h0'
  • Saturday, 7 July 2018
    • 09:00 - 12:45 Saturday, 7 July 2018
      Location: Adriatico Guest House - Giambiagi Lecture Hall
      • 09:00 Localization and AdS Black Hole Entropy - Lecture IV 1h0'
        Speaker: Alberto Zaffaroni (Milano-Bicocca)
        Material: Video
      • 10:00 Coffee Break 30' ( Adriatico Guest House - Terrace )
      • 10:30 Quantum black hole entropy and localization in supergravity - Lecture IV 1h0'
        Speaker: Sameer Murthy (King's College London)
        Material: Video
      • 11:45 Exact black hole entropy and Chern-Simons theory - Lecture III 1h0'
        Speaker: Joao Gomes (University of Amsterdam)
        Material: Lecture Notes Video