Supersymmetric gauge theories on five-manifolds View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-08

AUTHORS

Luis F. Alday, Pietro Benetti Genolini, Martin Fluder, Paul Richmond, James Sparks

ABSTRACT

We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic classification of five-dimensional supersymmetric backgrounds with gravity duals. We show that the background metric is furnished with a conformal Killing vector, which generates a transversely holomorphic foliation with a transverse Hermitian structure. Moreover, we prove that any such metric defines a supersymmetric background. Finally, we construct supersymmetric Lagrangians for gauge theories coupled to arbitrary matter on such backgrounds. More... »

PAGES

7

References to SciGraph publications

Journal

TITLE

Journal of High Energy Physics

ISSUE

8

VOLUME

2015

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep08(2015)007

DOI

http://dx.doi.org/10.1007/jhep08(2015)007

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044766603


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49 schema:description We construct rigid supersymmetric gauge theories on Riemannian five-manifolds. We follow a holographic approach, realizing the manifold as the conformal boundary of a six-dimensional bulk supergravity solution. This leads to a systematic classification of five-dimensional supersymmetric backgrounds with gravity duals. We show that the background metric is furnished with a conformal Killing vector, which generates a transversely holomorphic foliation with a transverse Hermitian structure. Moreover, we prove that any such metric defines a supersymmetric background. Finally, we construct supersymmetric Lagrangians for gauge theories coupled to arbitrary matter on such backgrounds.
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