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We consider a topologically twisted version, recently introduced by Witten,of five-dimensional maximally supersymmetric Yang-Mills theory on afive-manifold of the form M_5 =R x W_3 x I. If the length of the interval I issufficiently large, the supersymmetric localization equations admit pairs ofstatic solutions (with the factor R interpreted as Euclidean time). However,these solutions disappear for a sufficiently short I, so by the topologicalinvariance of the theory, they must be connected by an interpolating dynamicinstanton solution. We study this for the case that W_3 is a three-sphere S^3with the standard metric by making a spherically symmetric Ansatz for allfields. The solution is given as a power series in a parameter related to thelength of I, and we give explicit expressions for the first non-trivial terms.

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