Modular properties of full 5D SYM partition function
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 16, no 03, 193Article in journal (Refereed) Published
We study properties of the full partition function for the U(1) 5D N=2∗ gauge theory with adjoint hypermultiplet of mass M. This theory is ultimately related to abelian 6D (2,0) theory. We construct the full non-perturbative partition function on toric Sasaki-Einstein manifolds by gluing flat copies of the Nekrasov partition function and we express the full partition function in terms of the generalized double elliptic gamma function GC2 associated with a certain moment map cone C. The answer exhibits a curious SL(4,ℤ) modular property. Finally, we propose a set of rules to construct the partition function that resembles the calculation of 5D supersymmetric partition function with the insertion of defects of various co-dimensions.
Place, publisher, year, edition, pages
2016. Vol. 16, no 03, 193
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-287828DOI: 10.1007/JHEP03(2016)193ISI: 000373391900002OAI: oai:DiVA.org:uu-287828DiVA: diva2:923519
FunderSwedish Research Council, 2014-5517The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)Knut and Alice Wallenberg Foundation