Results 11 to 20 of about 14,182 (200)

Conformal geometry from entanglement

SciPost Physics
In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for short).
Isaac H. Kim, Xiang Li, Ting-Chun Lin, John McGreevy, Bowen Shi
doaj   +4 more sources

Jet isomorphism for conformal geometry [PDF]

, 2007
Jet isomorphism theorems for conformal geometry are discussed. A new proof of the jet isomorphism theorem for odd-dimensional conformal geometry is outlined, using an ambient realization of the conformal deformation complex. An infinite order ambient lift for conformal densities in the case in which harmonic extension is obstructed is described.
Graham, Robin C.
openaire   +4 more sources

Conformal Geometry versus Riemannian Geometry

, 2014
Universidad de Málaga.
Leitner, Felipe
openaire   +2 more sources

Conformal Quasicrystals and Holography

Physical Review X, 2020
Recent studies of holographic tensor network models defined on regular tessellations of hyperbolic space have not yet addressed the underlying discrete geometry of the boundary.
Latham Boyle, Madeline Dickens, Felix Flicker   +2 more
doaj   +1 more source

Complexity from spinning primaries

Journal of High Energy Physics, 2021
We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits ...
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl   +2 more
doaj   +1 more source

Uncovering Conformal Symmetry in the 3D Ising Transition: State-Operator Correspondence from a Quantum Fuzzy Sphere Regularization

Physical Review X, 2023
The 3D Ising transition, the most celebrated and unsolved critical phenomenon in nature, has long been conjectured to have emergent conformal symmetry, similar to the case of the 2D Ising transition.
Wei Zhu, Chao Han, Emilie Huffman, Johannes S. Hofmann, Yin-Chen He   +4 more
doaj   +1 more source

Noncommutative geometry and conformal geometry. I. Local index formula and conformal invariants [PDF]

Journal of Noncommutative Geometry, 2018
This paper is part of a series of articles on noncommutative geometry and conformal geometry. In this paper, we reformulate the local index formula in conformal geometry in such a way to take into account the action of conformal diffeomorphisms. We also construct and compute a whole new family of geometric conformal invariants associated with conformal
Raphaël Ponge, Hang Wang
openaire   +2 more sources

Conformal geometry and (super)conformal higher-spin gauge theories

Journal of High Energy Physics, 2019
We develop a manifestly conformal approach to describe linearised (super)conformal higher-spin gauge theories in arbitrary conformally flat backgrounds in three and four spacetime dimensions.
Sergei M. Kuzenko, Michael Ponds
doaj   +1 more source

Standard Model in Weyl conformal geometry

European Physical Journal C: Particles and Fields, 2022
We study the Standard Model (SM) in Weyl conformal geometry. This embedding is truly minimal with no new fields beyond the SM spectrum and Weyl geometry.
D. M. Ghilencea
doaj   +1 more source

Variational Problems in Conformal Geometry [PDF]

The Journal of Geometric Analysis, 2020
We study the Euler-Lagrange equation for several natural functionals defined on a conformal class of almost Hermitian metrics, whose expression involves the Lee form $θ$ of the metric. We show that the Gauduchon metrics are the unique extremal metrics of the functional corresponding to the norm of the codifferential of the Lee form.
Daniele Angella, Nicolina Istrati, Alexandra Otiman, Nicoletta Tardini   +3 more
openaire   +3 more sources