Asymptotic Symmetries

Asymptotic symmetries are a key concept in gravity and gauge theories and feature prominently in holographic correspondences. In this set of eight lectures I will introduce this subject, discuss examples in the context of (lower-dimensional) holography, and address some recent advances in near horizon and flat space holography. Optional homework exercises supplement the lectures.


Daniel Grumiller is an Associate Professor at the Institute for Theoretical Physics, TU Wien in Vienna, Austria.  He is a physicist with particular expertise in the areas of black holes and holography.  For details of his research see his home page.

  Files Date Time Topic (Click to add to your calender) Lecturer
Lecture 1

Lecture 1

Exercises 1

July 31st 10:00-12:00 Boundary conditions in QFT and GR, asymptotic Killing vectors,and asymptotic symmetries Daniel Grumiller
Lecture 2

Lecture 2

Exercises 2

August 7th 10:00-12:00 Canonical realization of asymptotic symmetries, central extensions in asymptotic symmetry algebras, and boundary excitations Daniel Grumiller
Lecture 3

Lecture 3

Cartan Formalism

August 10th 10:00-12:00 Example: gravity in three dimensions Daniel Grumiller
Lecture 4

Lecture 4

Exercises 3

August 14th 10:00-12:00 AdS_3/CFT_2, Brown-Henneaux, and alternative boundary conditions Daniel Grumiller
Lecture 5

Lecture 5

Exercises 4

August 17th 10:00-12:00 State-dependent parameters, change of phase space slicing, and zoo of asymptotic symmetries Daniel Grumiller
Lecture 6 Lecture 6 August 21st 10:00-12:00 Near horizon symmetries, soft Heisenberg hair, and black hole entropy Daniel Grumiller
Lecture 7 Lecture 7 August 24th 10:00-12:00 Conformal Carrollian symmetries, BMS, and flat space holography Daniel Grumiller
Lecture 8 Lecture 8 August 28th 10:00-12:00 Q&A session, recent developments, and outlook Daniel Grumiller

More information

  • Location: L5EF11 
  • What to bring
  • Zoom link: in-person
  • Video Recording: NA

If you are interested in the course but cannot participate to this particular event, let us know.

Thank you very much for your interest.