In this talk, I will report on recent process in understanding lower-dimensional gravitational models structurally from group theory. The main strength of this approach seems to be its universality in describing different models. In particular, I will discuss how it can be used to argue for a bulk holographic dual of double-scaled SYK (DSSYK) in terms of sine dilaton gravity.
Parisi-Sourlas (PS) supersymmetry is known to emerge in some models with random field type of disorder. When PS SUSY is present the d-dimensional theory allows for a d−2-dimensional description. In this paper we investigate the reversed question and we provide new indications that any given CFT_{d−2} can be uplifted to a PS SUSY CFT_d. We show that any scalar four-point function of a CFT_{d−2}...
It has been known for over 50 years that spacetime dynamics becomes chaotic in the approach to singularities. Furthermore, the classical gravitational dynamics exhibits remarkable number-theoretic properties known as arithmetic chaos. I will review these facts and give an explicit realisation of these phenomena in the interior of an asymptotically AdS black hole. I will discuss possible...
In this talk, I will present recent developments towards formulating a holographic correspondence for asymptotically flat spacetimes. In particular, I will discuss the role of newly uncovered symmetries in the so-called celestial and Carrollian holographic proposals.
Recent work has produced a consistent picture of the holographic dual description of semi-classical gravity. I will describe this picture, several applications of this picture including the factorization puzzle and the information paradox, and some open questions.
Costas Bachas and I wrote several papers together on conformal field theory
and Dirichlet branes. In this talk I will try to connect these topics with my more recent
interests in machine learning.
