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Course, academic year 2025/2026
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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 2025
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
Guarantor: prof. Mgr. David Kubizňák, Ph.D.
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Annotation -
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.
Last update: Houfek Karel, doc. RNDr., Ph.D. (13.05.2022)
Course completion requirements -

Oral exam

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

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.

Last update: Houfek Karel, doc. RNDr., Ph.D. (13.05.2022)
Requirements to the exam -

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

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

basics of AdS/CFT correspondence

holographic RG flows

fluid/gravity correspondence

holographic superconductors

entanglement entropy and complexity

gravitational entropy and black hole information paradox

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