Twisted supersymmetric 5D Yang-Mills theory and contact geometry
2012 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 5, 125- p.Article in journal (Refereed) Published
We extend the localization calculation of the 3D Chern-Simons partition function over Seifert manifolds to an analogous calculation in five dimensions. We construct a twisted version of N = 1 supersymmetric Yang-Mills theory defined on a circle bundle over a four dimensional symplectic manifold. The notion of contact geometry plays a crucial role in the construction and we suggest a generalization of the instanton equations to five-dimensional contact manifolds. Our main result is a calculation of the full perturbative partition function on S-5 for the twisted supersymmetric Yang-Mills theory with different Chern-Simons couplings. The final answer is given in terms of a matrix model. Our construction admits generalizations to higher dimensional contact manifolds. This work is inspired by the work of Baulieu-Losev-Nekrasov from the mid 90's, and in a way it is covariantization of their ideas for a contact manifold.
Place, publisher, year, edition, pages
2012. no 5, 125- p.
Topological Field Theories, Chern-Simons Theories, Supersymmetric gauge theory
Other Physics Topics
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-173223DOI: 10.1007/JHEP05(2012)125ISI: 000305238600045OAI: oai:DiVA.org:uu-173223DiVA: diva2:516969