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Tunneling solutions in topological field theory on R x S-3 x I

Louise Anderson (Institutionen för fundamental fysik, Elementarpartikelfysik) ; Måns Henningson (Institutionen för fundamental fysik, Elementarpartikelfysik)
Journal of High Energy Physics (1126-6708). 2, p. Article Number: 063. (2012)
[Artikel, refereegranskad vetenskaplig]

We consider a topologically twisted version, recently introduced by Witten, of five-dimensional maximally supersymmetric Yang-Mills theory on a five-manifold of the form M-5 = RxW(3)xI. If the length of the interval I is sufficiently large, the supersymmetric localization equations admit pairs of static solutions (with the factor R interpreted as Euclidean time). However, these solutions disappear for a sufficiently short I, so by the topological invariance of the theory, they must be connected by an interpolating dynamic instanton solution. We study this for the case that W-3 is a three-sphere S-3 with the standard metric by making a spherically symmetric Ansatz for all fields. The solution is given as a power series in a parameter related to the length of I, and we give explicit expressions for the first non-trivial terms.

Nyckelord: Supersymmetric gauge theory, Extended Supersymmetry, Topological Field

Denna post skapades 2012-05-24. Senast ändrad 2017-06-28.
CPL Pubid: 158013


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Elementarpartikelfysik (2005-2013)



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