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Localization of 4d N=1 theories on D-2 x T-2
Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
DESY Theory, Notkestr 85, D-20607 Hamburg, Germany.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0003-0616-0681
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 147Article in journal (Refereed) Published
Abstract [en]

We consider 4d N = 1 gauge theories with R-symmetry on a hemisphere times a torus. We apply localization techniques to evaluate the exact partition function through a cohomological reformulation of the supersymmetry transformations. Our results represent the natural elliptic lifts of the lower dimensional analogs as well as a field theoretic derivation of the conjectured 4d holomorphic blocks, from which partition functions of compact spaces with diverse topology can be recovered through gluing. We also analyze the different boundary conditions which can naturally be imposed on the chiral multiplets, which turn out to be either Dirichlet or Robin-like. We show that different boundary conditions are related to each other by coupling the bulk to 3d N = 1 degrees of freedom on the boundary three-torus, for which we derive explicit 1-loop determinants.

Place, publisher, year, edition, pages
Springer, 2019. no 12, article id 147
Keywords [en]
Supersymmetric Gauge Theory, Boundary Quantum Field Theory, Differential and Algebraic Geometry
National Category
Subatomic Physics Other Physics Topics
Identifiers
URN: urn:nbn:se:uu:diva-402382DOI: 10.1007/JHEP12(2019)147ISI: 000504963100001OAI: oai:DiVA.org:uu-402382DiVA, id: diva2:1389263
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council, 2014-5517EU, European Research Council, 639220The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)German Research Foundation (DFG)Available from: 2020-01-29 Created: 2020-01-29 Last updated: 2020-01-29Bibliographically approved

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