Harmonicity of horizontally conformal maps and spectrum of the Laplacian
International Journal of Mathematics and Mathematical Sciences, 2002 We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ:M→N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N
Gabjin Yun
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Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix
Journal of High Energy Physics, 2019 The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS.
Carlos Cardona
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Einstein and Jordan frame correspondence in quantum cosmology: expansion-collapse duality
European Physical Journal C: Particles and Fields, 2023 The conformal correspondence between FLRW universes in the Einstein and Jordan frames allows for an expansion-collapse duality – an always expanding Einstein frame universe can have a dual Jordan frame description that is contracting forever.
Dipayan Mukherjee, Harkirat Singh Sahota
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Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems [PDF]
, 1988 Let F be the function which maps conformally a simple-connected domain onto a rectangle R, so that four specified points on are mapped Ω∂respectively onto the four vertices of R. In this paper we consider the problem of approximating the conformal map F,
Papamichael, N
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Confluent conformal blocks of the second kind
Journal of High Energy Physics, 2020 We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and
Jonatan Lenells, Julien Roussillon
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Universal spinning Casimir equations and their solutions
Journal of High Energy Physics, 2023 Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra’s radial component map to construct universal Casimir differential equations for spinning conformal blocks in any dimension d of ...
Ilija Burić, Volker Schomerus
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Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation [PDF]
, 1996 By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations.
Goldberg J. +4 more
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Crossing-symmetric twist field correlators and entanglement negativity in minimal CFTs
Journal of High Energy Physics, 2021 We study conformal twist field four-point functions on a ℤ N orbifold. We examine in detail the case N = 3 and analyze theories obtained by replicated N-times a minimal model with central charge c < 1.
Filiberto Ares +2 more
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Connections and conformal mapping [PDF]
Acta Mathematica, 1962 Abstract : Contents: The integral equation for circular mapping Variational theory for moduli Connections on plane domains Variational theory for connections Connections on closed Riemann surfaces Variation of connections on Riemann ...
Schiffer, M., Hawley, N. S.
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