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Statut |
Confirmé |
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Série |
RENC-THEO |
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Domaines |
hep-th |
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Date |
Jeudi 10 Novembre 2022 |
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Heure |
10:00 |
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Institut |
LPTHE |
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Salle |
Institut Henri Poincaré, Room 314 |
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Nom de l'orateur |
Mason |
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Prenom de l'orateur |
Lionel |
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Addresse email de l'orateur |
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Institution de l'orateur |
Oxford |
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Titre |
Twistors and Lw_{1+infinity} symmetries in celestial formulations of 4d gravity |
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Résumé |
Recently in their celestial holography programme, Strominger and coworkers
uncovered a hidden loop algebra version of w-infinity symmetry in the `celestial
soft OPEs' for graviton scattering. This talk will explain the origin of this
symmetry in terms of old ideas of Newman and Penrose based on light-cone cuts of
null infinity and their description in terms of asymptotic twistors. W_n
symmetries were introduced by Zamolodchikov as higher spin symmetries in 2d
conformal field theories. These were given a geometric interpretation as for
n=infinity as area-preserving diffeomorphisms of the plane. I will explain how
the corresponding classical loop algebra becomes a hidden symmetry of self-dual
gravity realized geometrically as the structure-preserving diffeomorphisms of
Penrose's nonlinear graviton construction. This can be realized particularly
cleanly by recasting the constructions in split signature. We introduce an open
chiral sigma model with target the asymptotic twistor space. The full gravity
tree-level S-matrix can then be obtained from tree correlators of this model. The
action of the Lw_{1+\infty} symmetry on the tree-level S-matrix of full gravity
beyond the self-dual sector is then realized by the action of certain vertex
operators and act on the full amplitude. This is based on joint work with Tim
Adamo and Atul Sharma https://arxiv.org/abs/2110.06066 and
https://arxiv.org/abs/2103.16984 together with some more recent work. |
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Numéro de preprint arXiv |
2110.06066 |
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Commentaires |
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Fichiers attachés |
- 22-Paris.pdf (1235402 bytes)
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