منابع مشابه
An Energy Gap for Yang-mills Connections
Consider a Yang-Mills connection over a Riemann manifold M = M, n ≥ 3, where M may be compact or complete. Then its energy must be bounded from below by some positive constant, if M satisfies certain conditions, unless the connection is flat.
متن کاملAn Energy Gap for Complex Yang–Mills Equations
We use the energy gap result of pure Yang–Mills equation [Feehan P.M.N., Adv. Math. 312 (2017), 547–587] to prove another energy gap result of complex Yang–Mills equations [Gagliardo M., Uhlenbeck K., J. Fixed Point Theory Appl. 11 (2012), 185–198], when Riemannian manifold X of dimension n ≥ 2 satisfies certain conditions.
متن کاملGeometry of minimal energy Yang–Mills connections
where FA denotes the curvature of A. In four dimensions, FA decomposes into its self-dual and anti-self-dual components, FA = F + A + F − A , where F A denotes the projection onto the ±1 eigenspace of the Hodge star operator. A connection is called self-dual (respectively anti-self-dual) if FA = F + A (respectively FA = F − A ). A connection is called an instanton if it is either self-dual or a...
متن کاملRemovable Singularities for Yang-mills Connections in Higher Dimensions
We prove several removable singularity theorems for singular Yang-Mills connections on bundles over Riemannian manifolds of dimensions greater than four. We obtain the local and global removability of singularities for Yang-Mills connections with L∞ or L n 2 bounds on their curvature tensors, with weaker assumptions in the L∞ case and stronger assumptions in the L n 2 case. With the global gaug...
متن کاملSymplectic Connections, Noncommutative Yang Mills Theory and Supermembranes
In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so, we first set up a global formulation for noncommutative Yang Mills theory over general symplectic manifolds. We make the above constructions following a pur...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1073-0