Boundary conditions for geometric-Langlands twisted N=4 supersymmetric Yang-Mills theory
Journal article, 2012

We consider topologically twisted N = 4 supersymmetric Yang-Mills theory on a four-manifold of the form V = W x R+ or V = W x I, where W is a Riemannian three-manifold. Different kinds of boundary conditions apply at infinity or at finite distance. We verify that each of these conditions defines a "middle-dimensional" subspace of the space of all bulk solutions. Taking the two boundaries of V into account should thus generically give a discrete set of solutions. We explicitly find the spherically symmetric solutions when W = S-3 endowed with the standard metric. For widely separated boundaries, these consist of a pair of solutions which coincide for a certain critical value of the boundary separation and disappear for even smaller separations.



Måns Henningson

Chalmers, Applied Physics, Theoretical Elementary Particle Physics

Physical Review D - Particles, Fields, Gravitation and Cosmology

1550-7998 (ISSN)

Vol. 86 8

Subject Categories

Physical Sciences



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