Results 51 to 60 of about 14,182 (200)
Some Results of Ricci Bi-Conformal Vector Fields [PDF]
Mathematics Interdisciplinary ResearchThe investigation of Ricci bi-conformal vector fields and their associated outcomes is crucial for gaining insights into the geometric and topological characteristics of the underlying manifolds.
Mahin Sohrabpour, Shahroud Azami
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Physical Review Research, 2021 Hyperbolic metamaterials have attracted considerable interest in the research community for their peculiar ability to enhance control of electromagnetic waves' propagation.
Shahram Dehdashti +7 more
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Geometry and conformation of benzenecarboxylic acids
Journal of the Serbian Chemical Society, 2004 The geometry, conformations and energy of mono-, di-, and tri-carboxylic derivatives of benzene were studied by means of the AM1 molecular-orbital method. Whereas the species having no carboxylic groups in the ortho-position (benzoic, isophthalic, terephthalic, and trimesic acids) are planar in all their (stable) conformations, those possessing ...
Zoran Markovic +2 more
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The Geometry of¶(Super) Conformal Quantum Mechanics [PDF]
Communications in Mathematical Physics, 2000 N-particle quantum mechanics described by a sigma model with an N-dimensional target space with torsion is considered. It is shown that an SL(2,R) conformal symmetry exists if and only if the geometry admits a homothetic Killing vector $D^a$ whose associated one-form $D_a$ is closed.
Michelson, Jeremy, Strominger, Andrew
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Disformal transformations and the motion of a particle in semi-classical gravity
European Physical Journal C: Particles and Fields, 2021 The approach to incorporate quantum effects in gravity by replacing free particle geodesics with Bohmian non-geodesic trajectories has an equivalent description in terms of a conformally related geometry, where the motion is force free, with the quantum ...
Sandip Chowdhury +3 more
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Green functions and conformal geometry
Journal of Differential Geometry, 1999 A canonical metric, which is unique in its conformal class is constructed here with the Green function of the Yamabe operator (conformal Laplacian) and used for investigating the moduli space of locally conformally flat structures. This construction depends on the positive mass theorem of Schoen-Yau and the resulting metric is different from those ...
Habermann, Lutz, Jost, Jürgen
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Geometry of complexity in conformal field theory
Physical Review Research, 2020 We initiate quantitative studies of complexity in (1+1)-dimensional conformal field theories with a view that they provide the simplest setting to find a gravity dual to complexity.
Mario Flory, Michal P. Heller
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Developments in noncommutative differential geometry [PDF]
, 2002 One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
core
The Mellin formalism for boundary CFT d
Journal of High Energy Physics, 2017 We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup dual to an interface CFT — a brane filling an AdS d subspace of AdS d+1 — and perform a ...
Leonardo Rastelli, Xinan Zhou
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Conformal Field Theory and Hyperbolic Geometry [PDF]
Physical Review Letters, 1994 We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic length, we motivate a reformulation of the basic equation of conformal covariance.
Kleban, P., Vassileva, I.
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