In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A physical theory using Yang-Mills theories requires several terms and irreducible representations, but with generalized Yang-Mills theories, only two terms an...

We study pseudo Yang-Mills fields on a compact strictly pseudoconvex CR manifold M , i.e. the critical points of the functional PYM(D) = 1 2 ∫ M ‖πHR‖θ∧(dθ), where D is a connection in a Hermitian CR-holomorphic vector bundle (E, h) → M . Let Ω = {φ < 0} ⊂ C be a smoothly bounded strictly pseuodoconvex domain and g the Bergman metric on Ω. We show that boundary valuesDb of Yang-Mills fieldsD on...

We study spherically and axially symmetric monopoles of the SU(2) EinsteinYang-Mills-Higgs-dilaton (EYMHD) system with a new coupling between the dilaton field and the covariant derivative of the Higgs field. This coupling arises in the study of (4+ 1)dimensional vortices in the Einstein-Yang-Mills (EYM) system. [email protected] [email protected]

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Let P be a principal U(1)-bundle over a closed manifold M . On P , one can define a modified version of the Ricci flow called the Ricci Yang-Mills flow, due to these equations being a coupling of Ricci flow and the Yang-Mills heat flow. We use maximal regularity theory and ideas of Simonett concerning the asymptotic behavior of abstract quasilinear parabolic partial differential equations to st...