Closed-form deformed incidence relations are constructed for Eguchi-Hanson, self-dual Taub-NUT, and self-dual Plebanski-Demianski spacetimes by resumming the Dunajski-Mason recursion in Plebanski coordinates.
A cubic action for self-dual Yang-Mills
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abstract
We make a change of field variables in the J formulation of self-dual Yang--Mills theory. The field equations for the resulting algebra valued field are derivable from a simple cubic action. The cubic interaction vertex is different from that considered previously from the N=2 string, however, perturbation theory with this action shows that the only non-vanishing connected scattering amplitude is for three external particles just as for the string.
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Incidence Relations for Self-Dual Black Holes
Closed-form deformed incidence relations are constructed for Eguchi-Hanson, self-dual Taub-NUT, and self-dual Plebanski-Demianski spacetimes by resumming the Dunajski-Mason recursion in Plebanski coordinates.