On Infinitesimal Symmetries of the Self-Dual Yang-Mills Equations
نویسندگان
چکیده
منابع مشابه
On Infinitesimal Symmetries of the Self-dual Yang-mills Equations
An infinite-dimensional algebra of all infinitesimal transformations of solutions to the self-dual Yang-Mills equations is described. As subalgebras it contains the infinitedimensional algebras of hidden symmetries related to gauge and conformal transformations.
متن کاملConformal Symmetries of the Self-Dual Yang-Mills Equations
We describe an infinite-dimensional Kac-Moody-Virasoro algebra of new hidden symmetries for the self-dual Yang-Mills equations related to conformal transformations of the 4-dimensional base space. On leave of absence from Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia
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It is shown that the extended conformal symmetries of the self-dual Yang-Mills equations introduced recently have a simple description in terms of Ward’s twistor construction. e-mail: [email protected]
متن کاملNatural Symmetries of the Yang-mills Equations
We define a natural generalized symmetry of the Yang-Mills equations as an infinitesimal transformation of the Yang-Mills field, built in a local, gauge invariant, and Poincaré invariant fashion from the Yang-Mills field strength and its derivatives to any order, which maps solutions of the field equations to other solutions. On the jet bundle of Yang-Mills connections we introduce a spinorial ...
متن کاملThe Adhm Construction and Non-local Symmetries of the Self-dual Yang–mills Equations
We consider the action on instanton moduli spaces of the non-local symmetries of the self-dual Yang–Mills equations on R discovered by Chau and coauthors. Beginning with the ADHM construction, we show that a sub-algebra of the symmetry algebra generates the tangent space to the instanton moduli space at each point. We explicitly find the subgroup of the symmetry group that preserves the one-ins...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 1998
ISSN: 1776-0852
DOI: 10.2991/jnmp.1998.5.4.5