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Rigid Supersymmetry from Conformal Supergravity in Five Dimensions · Around

2015

Rigid Supersymmetry from Conformal Supergravity in Five Dimensions

Pini, Alessandro, Rodriguez-Gomez, Diego, Schmude, Johannes

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We study the rigid limit of 5d conformal supergravity with minimal supersymmetry on Riemannian manifolds.

The necessary and sufficient condition for the existence of a solution is the existence of a conformal Killing vector.
Whenever a certain $SU(2)$ curvature becomes abelian the backgrounds define a transversally holomorphic foliation.
Subsequently we turn to the question under which circumstances these backgrounds admit a kinetic Yang-Mills term in the action of a vector multiplet.

Built on

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2000
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M. Zucker, “Minimal off-shell supergravity in five-dimensions,”
2000
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T. Fujita and K. Ohashi, “Superconformal tensor calculus in five-dimensions,”
2001
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E. Bergshoeff, S. Cucu, M. Derix, T. de Wit, R. Halbersma,
2001
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T. Kugo and K. Ohashi, “Off-shell D = 5 supergravity coupled to matter Yang-Mills system,”
2001
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J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis, and H. S. Reall, “All supersymmetric solutions of minimal supergravity in five- dimensions,”
2003
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E. Bergshoeff, S. Cucu, T. de Wit, J. Gheerardyn, S. Vandoren,
2004
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J. M. Martín-García, R. Portugal, and L. R. Manssur, “The invar tensor package,”
2007
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J. M. Martin-Garcia, D. Yllanes, and R. Portugal, “The Invar tensor package: Differential invariants of Riemann,”
Original
2008
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H.-C. Kim, S.-S. Kim, and K. Lee, “5-dim Superconformal Index with Enhanced En Global Symmetry,”

Then

Y. Imamura and H. Matsuno, “Supersymmetric backgrounds from 5d
Original
2014
Later among the works it cites.
S. M. Kuzenko, J. Novak, and G. Tartaglino-Mazzucchelli, “Symmetries of curved superspace in five dimensions,”
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J. Kim, S. Kim, K. Lee, and J. Park, “Super-Yang-Mills theories on
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C. Closset, T. T. Dumitrescu, G. Festuccia, and Z. Komargodski, “The Geometry of Supersymmetric Partition Functions,”
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N. Lambert, C. Papageorgakis, and M. Schmidt-Sommerfeld, “Instanton Operators in Five-Dimensional Gauge Theories,”
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