Invariants for minimal conformal supergravity in six dimensions

Daniel Butter; Sergei M. Kuzenko; Joseph Novak; Stefan Theisen

doi:10.1007/JHEP12(2016)072

Invariants for minimal conformal supergravity in six dimensions

Daniel Butter, Sergei M. Kuzenko, Joseph Novak, Stefan Theisen

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

We develop a new off-shell formulation for six-dimensional conformal super-gravity obtained by gauging the 6D N = (1, 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D N = (1, 0) conformal super-gravity, which contain C³ and C□C terms at the component level. Using a conformal supercurrent analysis, we prove that these exhaust all such invariants in minimal conformal supergravity. Finally, we show how to construct the supersymmetric F□F invariant in curved superspace.

Original language	English
Article number	72
Journal	Journal of High Energy Physics
Volume	2016
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2016)072
Publication status	Published - 1 Dec 2016

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AU - Kuzenko, Sergei M.

AU - Novak, Joseph

AU - Theisen, Stefan

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Y1 - 2016/12/1

N2 - We develop a new off-shell formulation for six-dimensional conformal super-gravity obtained by gauging the 6D N = (1, 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D N = (1, 0) conformal super-gravity, which contain C3 and C□C terms at the component level. Using a conformal supercurrent analysis, we prove that these exhaust all such invariants in minimal conformal supergravity. Finally, we show how to construct the supersymmetric F□F invariant in curved superspace.

AB - We develop a new off-shell formulation for six-dimensional conformal super-gravity obtained by gauging the 6D N = (1, 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D N = (1, 0) conformal super-gravity, which contain C3 and C□C terms at the component level. Using a conformal supercurrent analysis, we prove that these exhaust all such invariants in minimal conformal supergravity. Finally, we show how to construct the supersymmetric F□F invariant in curved superspace.

KW - Conformal Field Theory

KW - Supergravity Models

KW - Superspaces

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VL - 2016

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

M1 - 72

ER -

Invariants for minimal conformal supergravity in six dimensions

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Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity

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Invariants for minimal conformal supergravity in six dimensions

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Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity

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