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Boundary conditions for geometric-Langlands twisted N=4 supersymmetric Yang-Mills theory

Måns Henningson (Institutionen för fundamental fysik, Elementarpartikelfysik)
Physical Review D (1550-7998). Vol. 86 (2012), 8,
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: duality

Denna post skapades 2012-10-29. Senast ändrad 2017-06-28.
CPL Pubid: 165215


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Elementarpartikelfysik (2005-2013)



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