Gravitating vortices with positive curvature
WebVortices are non-singular field configurations in $2+1$ dimensions that have finite energy. ... These vortices have positive mass and are not BTZ black holes as they have no event horizon. ... At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular ... Web4. Existence of gravitating vortices in the weak coupling limit 12 5. Yang’s theorem and Geometric Invariant Theory 16 References 23 1. Introduction The Ka¨hler–Yang–Mills equations, introduced in [1, 11], emerge from a natural extension of the theories for constant scalar curvature Ka¨hler metrics and hermite–Yang–Mills con-nections.
Gravitating vortices with positive curvature
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WebIn this talk I will overview recent joint work with Vamsi Pingali and Chengjian Yao in arXiv:1911.09616 about gravitating vortices. These equations couple ... WebApr 30, 2010 · Plots of the sign of the curvature, with white for positive curvature. (a) The Gaussian bump, and (b) and (c) the saddle surfaces with λ = 1 and 17, respecitvely. Because of the lack of symmetry in (c), the center point becomes a saddle point of the energy; the vortex is pushed away by the strong positive curvature in the ellipsoidal …
WebNov 9, 2015 · We study how codimension-two objects like vortices back-react gravitationally with their environment in theories (such as 4D or higher-dimensional supergravity) where the bulk is described by a dilaton-Maxwell-Einstein system. We do so both in the full theory, for which the vortex is an explicit classical ‘fat brane’ solution, and … WebGravitating vortices with positive curvature Advances in Mathematics . 10.1016/j.aim.2024.107851
Webgravitating vortex equations, given by i F+ 1 2 (j˚j2 ˝) = 0; S+ ( + ˝)(j˚j2 ˝) = c: (1.4) The unknowns of the gravitating vortex equations are a K ahler metric g on and a hermitian metric hon L. Here, Fis the curvature of the Chern connection of h, Fis its contraction by the K ahler form of g, j˚jis the pointwise norm of ˚with respect ... WebNov 21, 2024 · PDF We give a complete solution to the existence problem for gravitating vortices with positive topological constant $c > 0$. Our main result... Find, read and ...
WebFeb 20, 2024 · In this work we consider the gravitating vortex equations. These equations couple a metric over a compact Riemann surface with a hermitian metric over a holomorphic line bundle equipped with a fixed global section — the Higgs field —, and have a … heated gilet razorWebIn this talk I will overview recent joint work with Vamsi Pingali and Chengjian Yao in arXiv:1911.09616 about gravitating vortices. These equations couple ... mouth whistle instrumenthttp://geomgrav.fi.ut.ee/inspire/literature.php?recid=1883483 heated gilets made in ukWebSep 1, 2024 · Request PDF Gravitating vortices with positive curvature We give a complete solution to the existence problem for gravitating vortices with non-negative … heated gilet with power bank includedWebtask dataset model metric name metric value global rank remove heated gilets how do they workWebPROGRAM: VORTEX MODULIORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India)DATE & TIME: 06 February 2024 … mouth white bumpWebSep 2, 2024 · We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, … heated gilet uk