Results 1 to 10 of about 68,958 (165)
Differential Invariants of Conformal and Projective Surfaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
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Some Progress in Conformal Geometry [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This is a survey paper of our current research on the theory of partial differential equations in conformal geometry. Our intention is to describe some of our current works in a rather brief and expository fashion.
Sun-Yung A. Chang, Jie Qing, Paul Yang
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A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson.
Stephen M. Paneitz
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Quartic differentials and harmonic maps in conformal surface geometry [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2022 15 ...
Burstall, Francis +2 more
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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Conformal integrals in four dimensions
Journal of High Energy Physics, 2022 We obtain analytic expressions of four-dimensional Euclidean N-point conformal integrals for arbitrary N by solving a Lauricella-like system of differential equations derived earlier. We demonstrate their relation to the GKZ A-hypergeometric systems. The
Aritra Pal, Koushik Ray
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Holographic cameras: an eye for the bulk
Journal of High Energy Physics, 2023 We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the ...
Simon Caron-Huot
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Journal of High Energy Physics, 2021 Conformal geometry is studied using the unfolded formulation à la Vasiliev. Analyzing the first-order consistency of the unfolded equations, we identify the content of zero-forms as the spin-two off-shell Fradkin-Tseytlin module of so 2 d $$ \mathfrak{so}
Euihun Joung, Min-gi Kim, Yujin Kim
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Bootstrapping closed hyperbolic surfaces
Journal of High Energy Physics, 2022 The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic s-differentials satisfy certain consistency conditions on closed hyperbolic surfaces.
James Bonifacio
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Color confinement at the boundary of the conformally compactified AdS5
Journal of High Energy Physics, 2021 The topology of closed manifolds forces interacting charges to appear in pairs. We take advantage of this property in the setting of the conformal boundary of AdS5 spacetime, topologically equivalent to the closed manifold S 1 × S 3, by considering the ...
M. Kirchbach, T. Popov, J. A. Vallejo
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