Tunneling solutions in topological field theory on R x S-3 x I
Journal article, 2012

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.

Topological Field

Extended Supersymmetry

Supersymmetric gauge theory

Author

Louise Anderson

Chalmers, Applied Physics, Theoretical Elementary Particle Physics

Måns Henningson

Chalmers, Applied Physics, Theoretical Elementary Particle Physics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 2012 2 Article Number: 063- 63

Subject Categories

Physical Sciences

DOI

10.1007/JHEP02(2012)063

More information

Latest update

4/5/2022 6