5D Super Yang-Mills on Y-p,Y-q Sasaki-Einstein Manifolds
2015 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 333, no 2, 861-904 p.Article in journal (Refereed) Published
On any simply connected Sasaki-Einstein five dimensional manifold one can construct a super Yang-Mills theory which preserves at least two supersymmetries. We study the special case of toric Sasaki-Einstein manifolds known as Y-p,Y-q manifolds. We use the localisation technique to compute the full perturbative part of the partition function. The full equivariant result is expressed in terms of a certain special function which appears to be a curious generalisation of the triple sine function. As an application of our general result we study the large N behaviour for the case of single hypermultiplet in adjoint representation and we derive the N-3-behaviour in this case.
Place, publisher, year, edition, pages
2015. Vol. 333, no 2, 861-904 p.
IdentifiersURN: urn:nbn:se:uu:diva-247179DOI: 10.1007/s00220-014-2194-7ISI: 000348302700009OAI: oai:DiVA.org:uu-247179DiVA: diva2:795134