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Self-dual Yang-Mills fields in d=7,8, octonions and ward equations
The Yang-Mills theories in d =7 and d =8 with the arbitrary gauge group G are considered. Generalized self-duality-type relations for gauge fields are...
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Generalized link-invariants on 3-manifolds ∑h × [0, 1] from Chern-Simons gauge and gravity theories
We show that the recently found generalized Jones and Homfly polynomials for links in ∑ h × [0, 1], where ∑ h is a closed oriented Riemann surface,...
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A generalized self-dual Chern-Simons Higgs theory
In the recently discovered Chern-Simons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the...
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On the classical lump of Yang-Mills fields
It is shown that for pure Yang-Mills fields there is no lump phenomena if the total energy is infinite and diverges mildly in a certain sense. This...
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A monopole-like classical solution to a purely fermionic model of even dimensions
We present a static solution to the classical field equations of a purely spinorial model with SO(2 n ) internal symmetry in 2 n dimensions. The model...
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On the meissner and abelian higgs effects
We provide an axiomatic Euclidean field-theoretic treatment of the Meissner and Abelian Higgs effects, which extends our previous method to a fully...