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Supergravity Component Reduction with Computer Algebra
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Using an interplay between superspace and component superconformal tensor calculus techniques, recently, the off-shell construction of the supersymmetric extension of the three independent curvature-squared invariants for minimal (N = 1) gauged supergravity in five dimensions (5D) was completed. A key ingredient in obtaining these results is the implementation of computer algebra algorithms. In this report, we describe how to use cadabra to systematically study component reduction from superspace with computer algebra in the case of 5D, N = 1 supergravity.
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Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace
A new off-shell 6D N=(2,0) conformal superspace is constructed, and its unique Bach tensor superfield is derived up to overall scaling.
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