Quantum information in curved spacetime
(NTMF095NTMF082,
spring term 2023/24)
Lecturer:
David Kubiznak (david.kubiznak@matfyz.cuni.cz)
Institute
of Theoretical Physics, MFF UK
Dotation: 2/0, oral exam
Description
We will cover the basics of the gauge/gravity duality, including some of
the following aspects: holographic RG flows, fluid/gravity correspondence,
applications to condensed matter systems, holographic entanglement entropy, and
recent advances in understanding the black hole information paradox. For PhD
and Mgr students – basic knowledge of general
relativity and quantum field theory is required.
Preliminary topics
Exam
You will be asked one theoretical and one
computational question out of the following two sets. You will have 30 minutes
to prepare your answers. After that, we will discuss your answers together with
some (un)related problems. The discussion should last about 30 minutes,
after which I will provide my feedback to you.
· Here is the List of exam questions
Additional reading
·
Study text
(will be updated as the course progresses)
·
Gauge/gravity
duality: Foundations and applications,
M. Ammon and J. Erdmenger,
Cambridge University Press, 2015.
·
Holographic
entanglement entropy: An overview, T.
Nishioka, S. Ryu, T. Takayanagi, J. Phys. A 42 (2009) 504008; ArXiv:0905.0932.
·
The entropy of
Hawking radiation, A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian,
A. Tajdini, Rev. Mod. Phys. 93 (2021) 3, 035002;
ArXiv:2006.6872.
Lectures
·
Lecture 1: Black hole thermodynamics
·
Lecture 2: Properties of Hawking radiation, Black hole info
paradox, AdS action
·
Lecture 3: Hawking-Page phase transition, Classical p-branes
·
Lecture 4: Superstrings and D-branes
·
Lecture 5: AdS/CFT conjecture
·
Lecture
6: CFT propaganda & AdS primer
·
Lecture
7: State operator correspondence, Correlation functions
·
Lecture 8: 2-point function calculation, Holographic
renormalization
·
Lecture
9: Conformal anomaly, Wilson loops
·
Lecture 10: Finite temperature, holographic hydrodynamics
·
Lecture 11: Fluid/gravity correspondence, Entanglement entropy
·
Lecture
12: Black hole information paradox
Lectures and tutorials
Mondays, 13:10-15:35, A1032UTF (Troja, UTF)
·
Tutorial 1: Actions and boundary terms Solutions T1
·
Tutorial 2: Euclidean magic – Unruh radiation Solutions T2
·
Tutorial 3: Strings and Throats Solutions T3
·
Tutorial 4: Feelings for D-branes Solutions T4
·
Tutorial 5: Conformal symmetry Solutions T5
·
Tutorial 6: Energy momentum tensor Solutions T6
·
Tutorial 7: Holographic renormalization 1 Solutions T7
·
Tutorial 8: Holographic renormalization 2
·
Tutorial 9: Wilson loops: quark-antiquark potential Solutions T9
·
Tutorial 10: Finite temperature AdS/CFT Solutions
T10
·
Tutorial 11: Calculating eta/s Solutions
T11