1112.2866 (Louise Anderson et al.)

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

Louise Anderson, Mans Henningson

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 =R x W_3 x I. 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.

View original: http://arxiv.org/abs/1112.2866