Selected topics in AdS/CFT correspondence - NTMF082

• Title: Selected topics in AdS/CFT correspondence
• Guaranteed by: Institute of Theoretical Physics (32-UTF)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2023 to 2023
• Semester: winter
• E-Credits: 4
• Hours per week, examination: winter s.:2/1, Ex [HT]
• Capacity: unlimited
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: not taught
• Language: English
• Teaching methods: full-time
• Teaching methods: full-time
• Guarantor: doc. Mgr. David Kubizňák, Ph.D.

Annotation

English

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

We will cover some aspects of the gauge/gravity duality, including holographic RG flows, fluid/gravity correspondence, applications to condensed matter systems, 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.

Czech

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

Kurz je věnován gravitačně-kalibrační dualitě. Budou diskutována následující témata: holografická renormalizace, dualita mezi relativistickými tekutinami a gravitací, aplikace duality na pevné látky a informační paradox černých děr. Určeno pro studenty Mgr a PhD programu – požaduje se základní znalost obecné teorie relativity a kvantové teorie pole.

Course completion requirements

English

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

Oral exam

Czech

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

Ústní zkouška

Literature

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

1) Gauge/gravity duality: Foundations and applications, M. Ammon and J. Erdmenger, Cambridge University Press, 2015.

2) Holographic entanglement entropy: An overview, T. Nishioka, S. Ryu, T. Takayanagi, J. Phys. A 42 (2009) 504008; ArXiv:0905.0932.

3) 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.

Requirements to the exam

English

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

Oral exam, with requirements corresponding to the syllabus (and in particular to what has actually been covered in the course).

Czech

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

Zkouška je ústní, požadavky odpovídají sylabu, v detailech pak tomu, co bylo během semestru odpřednášeno.

Syllabus

Last update: doc. RNDr. Karel Houfek, Ph.D. (13.05.2022)

basics of AdS/CFT correspondence

holographic RG flows

fluid/gravity correspondence

holographic superconductors

entanglement entropy and complexity

gravitational entropy and black hole information paradox