ITMP Seminar "Infinite symmetries and Ward identities in celestial holography"

Dear Colleagues,

We are pleased to announce that the next ITMP seminar will be held on Wednesday, Nov 24, at 18:00 (Moscow time). It will be arranged via zoom.

Speaker: Dr. Hongliang Jiang, Queen Mary University of London

Title: Infinite symmetries and Ward identities in celestial holography

Abstract:  Celestial holography reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at boundary null infinity, thus opening up an interesting and promising avenue towards flat holography.  In this talk, I will discuss various aspects of symmetry and their implications in celestial holography. I will first discuss how to realize the global symmetry of spacetime in celestial CFT, ranging from Poincare to conformal symmetry, and further to the superconformal symmetry of N=4 SYM. Then I will study the asymptotic symmetries from the celestial conformal field theory point of view. More specifically, by focusing on the soft sector of celestial OPEs, I will derive an infinite-dimensional symmetry algebra, dubbed holography chiral algebra, in supersymmetric Einstein-Yang-Mills theory. In the case of pure Einstein gravity, the holography chiral algebra turns out to be the w_{1+∞} algebra.  These infinite symmetries give rise to infinite Ward identities in celestial CFT, which are equivalent to infinite soft theorems in scattering amplitudes.  Finally, I will also derive general formulae for celestial OPEs and the corresponding Ward identities arising from arbitrary cubic interactions of three spinning massless particles.

If you want to join the seminar please register here before 14:00, November 24 here.

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