Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Conformally flat spaces and solutions to Yang-Mills equations

Journal Article · · Phys. Rev., D; (United States)

Using the conformal invariance of Yang-Mills equations in four-dimensional manifolds, it is proved that in a simply connected space of negative constant curvature Yang-Mills equations admit solutions with any real number as their Pontryagin number. It is also shown that the space S/sup 3/ x S/sup 1/ which is the regular counterpart of the meron solution is one example of a class of solutions to Yang-Mills equations on compact manifolds that are neither self-dual nor anti-self-dual.

Research Organization:
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
OSTI ID:
5660437
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:4; ISSN PRVDA
Country of Publication:
United States
Language:
English