Invariants for minimal conformal supergravity in six dimensions

2016/06/30 by Daniel Butter, Sergei M. Kuzenko, Joseph Novak +1 · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep12(2016)072

published as JHEP 1612 (2016) 072 · 52 pages; V2: published version

arxiv created 2016/12/15 · arxiv updated 2016/12/16

Abstract

We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D \cal N = (1, 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D \cal N = (1, 0) conformal supergravity, which contain C³ and C\Box 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 \Box F invariant in curved superspace.

Cited by

• The component structure of conformal supergravity invariants in six dimensions

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