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- Title
-structures and Seiberg–Witten equations.
- Authors
Sergeev, A. G.
- Abstract
The Seiberg–Witten equations, found at the end of the th century, are one of the main discoveries in the topology and geometry of four-dimensional Riemannian manifolds. They are defined in terms of a -structure that exists on any four-dimensional Riemannian manifold. Like the Yang–Mills equations, the Seiberg–Witten equations are the limit case of a more general supersymmetric Yang–Mills equations. However, unlike the conformally invariant Yang–Mills equations, the Seiberg–Witten equations are not scale invariant. Therefore, in order to obtain "useful information" from them, one must introduce a scale parameter and pass to the limit as . This is precisely the adiabatic limit studied in this paper.
- Subjects
RIEMANNIAN geometry; RIEMANNIAN manifolds; EQUATIONS; DIRAC operators
- Publication
Theoretical & Mathematical Physics, 2023, Vol 216, Issue 2, p1119
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577923080044