In this appendix, I very briefly mention the superspace formulation for type IIA [136] and IIB [309] and [153, 117] supergravity theories. The first goal is to set the relevant notation for the superfield components describing the physical massless fields coupling to the brane effective action degrees of freedom described in the main text. These are the physical fields appearing in the standard component formulation of these theories, i.e., 11-dimensional supergravity [154], its dimensional reduction [233] and type IIB [440, 309]. The second goal is to present the set of constraints satisfied by these superfields ensuring both formulations are on-shell equivalent. The latter are crucial to prove the kappa symmetry invariance of brane effective actions in curved backgrounds discussed in Section 3.5.

Living Rev. Relativity 15, (2012), 3
http://www.livingreviews.org/lrr-2012-3 |
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