2008

Simple d=4 supergravity with a boundary

Belyaev, Dmitry V., van Nieuwenhuizen, Peter

Understand

To construct rigidly or locally supersymmetric bulk-plus-boundary actions, one needs an extension of the usual tensor calculus.

Its key ingredients are the extended (F-, D-, etc.) density formulas and the rule for the decomposition of bulk multiplets into (co-dimension one) boundary multiplets.
Working out these ingredients for d=4 N=1 Poincar\'e supergravity, we discover the special role played by R-symmetry (absent in the d=3 N=1 case we studied previously).
The $U(1)_A$ R-symmetry has to be gauged which leads us to extend the old-minimal set of auxiliary fields S, P, A_\mu by a $U(1)_A$ compensator $a$.

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Later among the works it cites.
D. V. Belyaev and P. van Nieuwenhuizen, “Tensor calculus for supergravity on a manifold with boundary,” JHEP 0802
Original
2008
Closest in time.
D. V. Belyaev and P. van Nieuwenhuizen, “Rigid supersymmetry with boundaries,” JHEP 0804
Original
2008
Closest in time.

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