Displaying similar documents to “Twistor theory, self-duality and integrability”

Integrability and Einstein's equations

N. Woodhouse (1997)

Banach Center Publications

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1. Introduction. In recent years, there has been considerable interest in Oxford and elsewhere in the connections between Einstein's equations, the (anti-) self-dual Yang-Mills (SDYM) equations, and the theory of integrable systems. The common theme running through this work is that, to a greater or lesser extent, all three areas involve questions that can be addressed by twistor methods. In this paper, I shall review progress, with particular emphasis on the known and potential applications...

Vacuum Structure of 2+1-Dimensional Gauge Theories

Manuel Asorey, Fernando Falceto, Jose Lopez, Gloria Luzon (1997)

Banach Center Publications

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We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories...