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Twisted supersymmetric 5D Yang-Mills theory and contact geometryPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 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
##### Abstract [en]

##### Place, publisher, year, edition, pages

2012. no 5, 125- p.
##### Keyword [en]

Topological Field Theories, Chern-Simons Theories, Supersymmetric gauge theory
##### National Category

Other Physics Topics
##### Research subject

Theoretical Physics
##### Identifiers

URN: urn:nbn:se:uu:diva-173223DOI: 10.1007/JHEP05(2012)125ISI: 000305238600045OAI: oai:DiVA.org:uu-173223DiVA: diva2:516969
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Available from: 2012-04-20 Created: 2012-04-20 Last updated: 2012-08-01Bibliographically approved
##### In thesis

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.

1. Twisting and Gluing: On Topological Field Theories, Sigma Models and Vertex Algebras$(function(){PrimeFaces.cw("OverlayPanel","overlay517246",{id:"formSmash:j_idt647:0:j_idt651",widgetVar:"overlay517246",target:"formSmash:j_idt647:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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