Supersymmetric Black Holes, The Superconformal Index and Phases... (Lecture 2) by Sameer Murthy
INFOSYS-ICTS STRING THEORY LECTURES
Supersymmetric Black Holes, The Superconformal Index and Phases of AdS/CFT
SPEAKER: Sameer Murthy (King's College, London, UK)
DATE: 02 August 2022 to 05 August 2022
VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru
Lecture 1: 02 August 2022 at 03:30 pm
Lecture 2: 03 August 2022 at 03:30 pm
Lecture 3: 05 August 2022 at 03:30 pm
The ability to explain the entropy of supersymmetric black holes from a microscopic, statistical viewpoint is an important test of any theory of quantum gravity. I will review recent progress on this problem in the context of the AdS/CFT correspondence. Focussing on AdS5/CFT4, I will show how the entropy of supersymmetric black holes in Anti de Sitter space is counted in the microcanonical ensemble by the superconformal index of four-dimensional superconformal field theory at large N.
In the grand-canonical ensemble, the supersymmetric black hole solution is identified as a saddle-point of the matrix integral representing the superconformal index. I will discuss how this is generalized to an infinite family of solutions/saddle-points with competing free energies, which leads to an intricate phase structure of the theory. Time permitting, I will discuss a third interpretation of the superconformal index as an expansion in terms of determinants/giant gravitons.
Видео Supersymmetric Black Holes, The Superconformal Index and Phases... (Lecture 2) by Sameer Murthy канала International Centre for Theoretical Sciences
Supersymmetric Black Holes, The Superconformal Index and Phases of AdS/CFT
SPEAKER: Sameer Murthy (King's College, London, UK)
DATE: 02 August 2022 to 05 August 2022
VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru
Lecture 1: 02 August 2022 at 03:30 pm
Lecture 2: 03 August 2022 at 03:30 pm
Lecture 3: 05 August 2022 at 03:30 pm
The ability to explain the entropy of supersymmetric black holes from a microscopic, statistical viewpoint is an important test of any theory of quantum gravity. I will review recent progress on this problem in the context of the AdS/CFT correspondence. Focussing on AdS5/CFT4, I will show how the entropy of supersymmetric black holes in Anti de Sitter space is counted in the microcanonical ensemble by the superconformal index of four-dimensional superconformal field theory at large N.
In the grand-canonical ensemble, the supersymmetric black hole solution is identified as a saddle-point of the matrix integral representing the superconformal index. I will discuss how this is generalized to an infinite family of solutions/saddle-points with competing free energies, which leads to an intricate phase structure of the theory. Time permitting, I will discuss a third interpretation of the superconformal index as an expansion in terms of determinants/giant gravitons.
Видео Supersymmetric Black Holes, The Superconformal Index and Phases... (Lecture 2) by Sameer Murthy канала International Centre for Theoretical Sciences
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4 августа 2022 г. 11:58:39
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