In this Letter, we propose a holographic duality for classical gravity on a three-dimensional de Sitter space. We first show that a pair of SU(2) Chern-Simons gauge theories reproduces the classical partition function of Einstein gravity on a Euclidean de Sitter space, namely S^{3}, when we take the limit where the level k approaches -2. This implies that the conformal field theory (CFT) dual of gravity on a de Sitter space at the leading semiclassical order is given by an SU(2) Wess-Zumino-Witten model in the large central charge limit k→-2. We give another evidence for this in the light of known holography for coset CFTs. We also present a higher spin gravity extension of our duality.
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1103/PhysRevLett.129.041601 | DOI Listing |
Phys Rev Lett
December 2024
Dipartimento di Fisica "Ettore Pancini," Università degli Studi di Napoli Federico II, Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy; INFN, Sezione di Napoli, Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy; and Scuola Superiore Meridionale, Università degli Studi di Napoli Federico II, Largo San Marcellino 10, 80138 Napoli, Italy.
We revisit the prescription commonly used to define holographic correlators on the celestial sphere of Minkowski space as an integral transform of flat space scattering amplitudes. We propose a new prescription according to which celestial holographic correlators are given by the Mellin transform of bulk time-ordered correlators with respect to the radial direction in the hyperbolic slicing of Minkowski space, which are then extrapolated to the celestial sphere along the hyperbolic directions. This prescription is analogous to the extrapolate definition of holographic correlators in AdS/CFT and, like in AdS, is centered on (off-shell) correlation functions as opposed to (on-shell) S-matrix elements.
View Article and Find Full Text PDFNat Commun
January 2025
QTF Centre of Excellence, Department of Physics, University of Helsinki, Helsinki, Finland.
The emergence of a local effective theory from a more fundamental theory of quantum gravity with seemingly fewer degrees of freedom is a major puzzle of theoretical physics. A recent approach to this problem is to consider general features of the Hilbert space maps relating these theories. In this work, we construct approximately local observables, or overlapping qubits, from such non-isometric maps.
View Article and Find Full Text PDFPhys Rev Lett
November 2024
Maryland Center for Fundamental Physics, University of Maryland, College Park, Maryland 20742, USA.
We numerically construct stationary, rotating black binaries in general relativity with a positive cosmological constant. We consider identical black holes with either aligned or anti-aligned spins. Both cases have less entropy than the corresponding single Kerr-Schwarzschild-de Sitter black hole with the same total angular momentum and cosmological horizon entropy.
View Article and Find Full Text PDFPhys Rev Lett
August 2024
Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts, USA.
It is shown that a 2D conformal field theory consisting of a central charge c Liouville theory, a chiral level one, rank N Kac-Moody algebra, and a weight -3/2 free fermion holographically generate 4D maximal helicity violating tree-level scattering amplitudes. The correlators of this 2D conformal field theory give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-N and semiclassical large-c limit, according to the holographic dictionary, as a translationally invariant combination of leaf amplitudes.
View Article and Find Full Text PDFPhys Rev Lett
August 2024
Department of Theoretical Physics, CERN, 1211 Meyrin, Switzerland.
Anti-de Sitter space acts as an infrared cutoff for asymptotically free theories, allowing interpolation between a weakly coupled small-sized regime and a strongly coupled flat-space regime. We scrutinize the interpolation for theories in two dimensions from the perspective of boundary conformal theories. We show that the appearance of a singlet marginal operator destabilizes a gapless phase existing at a small size, triggering a boundary renormalization group flow to a gapped phase that smoothly connects to flat space.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!