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A<sc>bstract</sc> We introduce Ward identities for superamplitudes inD-dimensional$$ \mathcal{N} $$ -extended supergravities. These identities help to clarify the relation between linearized superinvariants and superamplitudes. The solutions of these Ward identities for ann-partice superamplitude take a simple universal form for half BPS and non-BPS amplitudes. These solutions involve arbitrary functions of spinor helicity and Grassmann variables for each of thensuperparticles. The dimension of these functions at a given loop order is exactly the same as the dimension of the relevant superspace Lagrangians depending on half-BPS or non-BPS superfields, given by (D− 2)L+ 2 −$$ \mathcal{N} $$ or (D− 2)L+ 2 −$$ 2\mathcal{N} $$ , respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree.
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4D $$ \mathcal{N} $$ = 1 Kaluza-Klein superspace
A bstract Motivated by recent efforts to encode 11D supergravity in 4D $$ \mathcal{N} $$ N = 1 superfields, we introduce a general covariant framework relevant for describing any higher dimensional supergravity theory in external 4D $$ \mathcal{N} $$ N = 1 superspace with n additional internal coordinates. The superspace geometry admits both external and internal diffeomorphisms and provides the superfields necessary to encode the components of the higher dimensional vielbein, except for the purely internal sector, in a universal way that depends only on the internal dimension n . In contrast, the $$ \mathcal{N} $$ N = 1 superfield content of the internal sector of the metric is expected to be highly case dependent and involve covariant matter superfields, with additional hidden higher dimensional Lorentz and supersymmetry transformations realized in a non-linear manner.
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- Award ID(s):
- 1820921
- PAR ID:
- 10274028
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2020
- Issue:
- 9
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1007/JHEP09(2020)091
