Rigid 6D supersymmetry and localization Academic Article

abstract

• Abstract We construct rigid supersymmetric theories for interacting vector and tensor multiplets on six-dimensional Riemannian spin manifolds. Analyzing the Killing spinor equations, we derive the constraints on these theories. To this end, we reformulate the conditions for supersymmetry as a set of necessary and sufficient conditions on the geometry. The formalism is illustrated with a number of examples, including manifolds that are hermitian, strong Khler with torsion. As an application, we show that the path integral of pure super Yang-Mills theory defined on a Calabi-Yau threefold $ {{mathcal{M}}_6} $ localizes on stable holomorphic bundles over $ {{mathcal{M}}_6} $ .

authors

• Sezgin, Ergin

published proceedings

• JOURNAL OF HIGH ENERGY PHYSICS

altmetric score

• 1

author list (cited authors)

• Samtleben, H., Sezgin, E., & Tsimpis, D.

citation count

• 20

complete list of authors

• Samtleben, Henning||Sezgin, Ergin||Tsimpis, Dimitrios

publication date

• March 2013

publisher

• Springer Nature  Publisher

published in

• The Journal of High Energy Physics  Journal

keywords

• Differential And Algebraic Geometry
• Flux Compactifications
• Supersymmetric Effective Theories
• Supersymmetry And Duality

Digital Object Identifier (DOI)

• 10.1007/JHEP03(2013)137

URI

• https://hdl.handle.net/1969.1/179854

start page

• 137

volume

• 2013

issue

• 3

URL

• http://dx.doi.org/10.1007/jhep03(2013)137