Web1.1 Monopole equation Bogomolny’s equation describes static monopoles in Yang-Mills theory. Given a three dimensional Riemannian manifold Y, let Edenote a rank nHermitian vector bundle E!Y, and let Abe a unitary connection on E, let ˚be a skew Hermitian section of the bundle End(E), the section ˚is called a Higgs eld on E(with trivial coe ... WebDec 21, 2024 · We establish a Kobayashi-Hitchin correspondence between solutions of the extended Bogomolny equation with a Dirac type singularity and Hecke modifications of Higgs bundles. This correspondence was conjectured by Witten and plays an important role in the physical description of the the geometric Langlands program in terms of S …
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WebApr 7, 2010 · The Bogomolny equations for S 1 × Σ are equivalent to time invariant anti-self-duality equations for S 1 × S 1 × Σ, with the metric g + ds 2, where s denotes the natural coordinate on the extra circle. This metric is Kähler with respect to the complex structure with complex coordinates s + it, z. WebJun 10, 2004 · This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. other five weeks
Bogomolny equations - Wikipedia
WebSep 22, 2024 · A bstract. We show that the BPS Skyrme model, as well as its (2+1) dimensional baby version (restricted), can be coupled with an impurity in the BPS … WebTwo hundred pages, twenty-four equations, one endearing and well told story. I wholeheartedly recommend the book."-- Alexander Bogomolny, CTK Insights, "This well-designed and accessible book will delight and inform the student, mathematician or historian in your life and it may also help you rediscover your forbidden love for mathematics." WebApr 10, 2024 · In this equation, a, b and c represent the lengths of the three sides of a right triangle, a triangle with a 90-degree angle between two of its sides. The quantity c is the length of the longest ... other fixed income securities