Results 11 to 20 of about 2,281 (262)
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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Conformal differential geometry of a subspace [PDF]
Transactions of the American Mathematical Society, 1944 Not ...
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On the flat conformal differential geometry, II [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1945 Not ...
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Equivariant differential operators on spinors in conformal geometry [PDF]
Complex Variables and Elliptic Equations, 2016 We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the classification of solutions for a vector-valued system of partial differential equations, associated to $\mathcal{D}$-modules for the homogeneous conformal structure and ...
Křižka, Libor, Somberg, Petr
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On uniqueness of solutions of $n$-th order differential equations in conformal geometry [PDF]
Mathematical Research Letters, 1997 Consider some compact metric manifold \(M\) endowed with a metric \(g\) and an operator \(A\) on \(C^\infty(M)\) which is calculated starting from \(g\). \(A\) is said to be conformally covariant if under the conformal change \(g_\omega= \exp[2\omega]g\) the pair of corresponding operators \(A_\omega\) and \(A\) are related by \(A_\omega(\varphi)= \exp[
Chang, Sun-Yung A., Yang, Paul C.
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Nonlocality, no-signalling, and Bellʼs theorem investigated by Weyl conformal differential geometry [PDF]
Physica Scripta, 2014 The principles and methods of the Conformal Quantum Geometrodynamics (CQG) based on the Weyl's differential geometry are presented. The theory applied to the case of the relativistic single quantum spin 1/2 leads a novel and unconventional derivation of Dirac's equation.
Francesco De Martini, SANTAMATO, ENRICO
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Modular orbits at higher genus
Journal of High Energy Physics, 2020 We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces of arbitrary genus can be constructed by a straightforward generalization
Daniel Robbins, Thomas Vandermeulen
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Advances in Mathematics, 2023 Let $g_0$ be a smooth Riemannian metric on a closed manifold $M^n$ of dimension $n\geq 3$. We study the existence of a smooth metric $g$ conformal to $g_0$ whose Schouten tensor $A_g$ satisfies the differential inclusion $λ(g^{-1}A_g)\inΓ$ on $M^n$, where $Γ\subset\mathbb{R}^n$ is a cone satisfying standard assumptions.
Duncan, JAJ, Nguyen, L
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Dessins d’enfants, Seiberg-Witten curves and conformal blocks
Journal of High Energy Physics, 2021 We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N $$ \mathcal{N} $$ = 2 supersymmetric instanton partition functions and 2d Virasoro ...
Jiakang Bao +6 more
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Conformal field theory complexity from Euler-Arnold equations
Journal of High Energy Physics, 2020 Defining complexity in quantum field theory is a difficult task, and the main challenge concerns going beyond free models and associated Gaussian states and operations.
Mario Flory, Michal P. Heller
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