Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface
DOI10.1016/j.bulsci.2023.103233OpenAlexW4317930273MaRDI QIDQ2692165
Luis Álvarez-Cónsul, Vamsi Pritham Pingali, Chengjian Yao, Oscar García-Prada, Mario García-Fernández
Publication date: 21 March 2023
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03455
gravitating vorticesFutaki invariantKahler-Yang-Mills equationsself-dual Einstein-Maxwell-Higgs equations
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Semilinear elliptic equations (35J61)
Cites Work
- Coupled equations for Kähler metrics and Yang-Mills connections
- Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations
- Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces
- An equivalence theorem for string solutions of the Einstein matter-gauge equations
- Invariant connections and vortices
- An obstruction to the existence of Einstein Kaehler metrics
- Prescribing topological defects for the coupled Einstein and Abelian Higgs equations
- Vortices in holomorphic line bundles over closed Kähler manifolds
- Gravitating vortices and the Einstein-Bogomol'nyi equations
- Yang–Mills–Higgs theory on a compact Riemann surface
- A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
