On the mini-superambitwistor space and super-Yang-Mills theory.
Sämann, Christian (2009)
Advances in Mathematical Physics
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Displaying similar documents to “Gauge transformations on holomorphic bundles.”
On the mini-superambitwistor space and super-Yang-Mills theory.
Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles
A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2016)
Archivum Mathematicum
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We present some lifts (associated to a product preserving gauge bundle functor on vector bundles) of sections of the dual bundle of a vector bundle, some derivations and linear connections on vector bundles.
Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Stavrinos, P.C. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Product preserving gauge bundle functors on all principal bundle homomorphisms
Włodzimierz M. Mikulski (2011)
Annales Polonici Mathematici
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Let 𝓟𝓑 be the category of principal bundles and principal bundle homomorphisms. We describe completely the product preserving gauge bundle functors (ppgb-functors) on 𝓟𝓑 and their natural transformations in terms of the so-called admissible triples and their morphisms. Then we deduce that any ppgb-functor on 𝓟𝓑 admits a prolongation of principal connections to general ones. We also prove a "reduction" theorem for prolongations of principal connections into principal ones by means...
Instantons on cylindrical manifolds and stable bundles.
Owens, Brendan (2001)
Geometry & Topology
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Gauge-natural field theories and Noether theorems: canonical covariant conserved currents
Palese, Marcella, Winterroth, Ekkehart
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Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal...
The natural affinors on some fiber product preserving gauge bundle functors of vector bundles
Jan Kurek, Włodzimierz M. Mikulski (2006)
Archivum Mathematicum
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We classify all natural affinors on vertical fiber product preserving gauge bundle functors on vector bundles. We explain this result for some more known such . We present some applications. We remark a similar classification of all natural affinors on the gauge bundle functor dual to as above. We study also a similar problem for some (not all) not vertical fiber product preserving gauge bundle functors on vector bundles.