SU(∞) (super)gauge theories and self-dual (super)gravity

Abstract:

It is shown that SU(∞) self-dual Yang-Mills equations on a four-dimensional flat Euclidean background are equivalent to Plebanski's second heavenly equation for the self-dual gravitational background, which is associated with the cotangent space of a suitable Riemann surface. The Riemann surface in question is nothing but the internal two-dimensional surface required in the formulation of SU(∞) self-dual Yang-Mills theories. Such equivalence only occurs when a dimensional reduction has taken place. After a discussion of Euclidean supersymmetries the results are generalized to self-dual super-Yang-Mills theories and self-dual supergravity. © 1993 American Institute of Physics.

Año de publicación:

1993

Keywords:

Fuente:

scopus