Heidelberg 2022 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 2: Gravity, Amplitudes, AdS/CFT
MP 2.4: Talk
Monday, March 21, 2022, 17:35–17:55, MP-H5
Scalar flat holography — •Lorenzo Iacobacci1, 2 and Massimo Taronna1, 2, 3 — 1Dipartimento di Fisica Ettore Pancini, Università degli Studi di Napoli Federico II Via Cintia, 80126 Napoli, Italy — 2Istituto Nazionale di Fisica Nucleare, Sezione di Napoli Via Cintia, 80126 Napoli, Italy — 3Scuola Superiore Meridionale, Università degli Studi di Napoli Federico II, Largo San Marcellino 10, 80138 Napoli, Italy
Recently, flat space holography has played a central role in the study of scattering amplitudes. In particular, the (d+2)-dimensional holographic flat space-time is closed in the far past and in the far future by a d-dimensional boundary, called celestial sphere. On this boundary, a d-dimensional conformal field theory lives; therefore, researchers have been studying the imprint of the d-dimensional conformal symmetry in (d+2)-dimensional scattering amplitudes.
Further, it is well-known that the (d+2)-dimensional Minkowski space-time can be sliced in (d+1)-dimensional AdS spaces inside the light-cone and by (d+1)-dimensional dS spaces outside. This suggests us that a connection between flat, dS and AdS holography should exist.
In our talk, we shall see the strict connection between the holography realized on AdS, dS and Minkowski. By analogy with the AdS case, we will arrive to write down a dictionary to pass between AdS, dS and flat holography. Moreover, these stringent connections will allow us to exploit the results obtained in AdS holography to compute scattering amplitudes both in flat and dS holography.