Harmonic Analysis of the Free Field
Time: 2024-06-14
Published By: Yiyi Ye
Speaker(s): Dalimil Mazac(Université Paris-Saclay)
Time: June 17 - June 19, 2024
Venue: Room 29, Quan Zhai, BICMR
Abstract:
The Gaussian field in n dimensions exhibits symmetry under the group SO(n+1,1), generalizing the action of the Mobius group present for n=2. The goal of my two lectures is to explain how abstract harmonic analysis on this group illuminates the mathematics of the Gaussian field. More concrete points discussed in my lectures will include:
The classification of unitary irreducible representations of SO(n+1,1) and their relevance for the Gaussian field.
The resulting analogy between the spectra of conformal field theories and hyperbolic manifolds.
A description of the algebra of observables in the basis of irreducible representations.
The Gaussian field in n dimensions exhibits symmetry under the group SO(n+1,1), generalizing the action of the Mobius group present for n=2. The goal of my two lectures is to explain how abstract harmonic analysis on this group illuminates the mathematics of the Gaussian field. More concrete points discussed in my lectures will include:
The classification of unitary irreducible representations of SO(n+1,1) and their relevance for the Gaussian field.
The resulting analogy between the spectra of conformal field theories and hyperbolic manifolds.
A description of the algebra of observables in the basis of irreducible representations.
The conformal bootstrap spectral identities
Time：
June 17\19, 10am-12pm
Tencent Meeting ID：475-8396-3483
https://meeting.tencent.com/dm/eWOsdKaGunix
