Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity

Hutomo, Jessica; Khandelwal, Saurish; Tartaglino‐Mazzucchelli, Gabriele; Jesse, Woods,

doi:10.48550/arxiv.2209.05748

Cited by 1 publication

(8 citation statements)

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“…The full algebra of covariant derivatives (2.2) (including the explicit expressions for the torsion and curvature components in terms of the descendant superfields) are given in Refs. [20] and [73]. To make use of results of [20] it is important to note that in this paper we make use of the "traceless" frame conventional constraints for the conformal superspace algebra employed in appendix C of [20] as well as in [73].…”

Section: The Standard Weyl Multipletmentioning

confidence: 99%

“…2 The vector-dilaton Weyl multiplet terminology is used here to stress that the variant multiplet of conformal supergravity in [57,59] is defined as an on-shell vector multiplet coupled to the standard Weyl multiplet. It was recently shown in [72,73] that an on-shell hypermultiplet in a standard Weyl multiplet background can be reinterpreted as yet another new variant Weyl multiplet of off-shell conformal supergravity which was referred to as hyper-dilaton Weyl.…”

Section: Introductionmentioning

confidence: 99%

“…However, so far, this construction has not been systematically studied as for gauged supergravities based on the standard Weyl multiplet, including curvature-squared invariants. Interestingly, the hyper-dilaton Weyl multiplet of [72,73] has no apparent issues concerning gauging, at least for matter systems not including extra physical hypermultiplets.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, we also introduce an alternative fourderivative invariant based on the linear multiplet compensator and the kinetic superfield of the vector multiplet compensator. This can be used to engineer a scalar curvature squared invariant also in alternative off-shell supergravities as for example the formulation based on the recently introduced 5D hyper-dilaton Weyl multiplet [73].…”

Section: Introductionmentioning

confidence: 99%

“…An alternative construction of a scalar curvature square invariant is presented in section 5. Our notation and conventions correspond to that of [20] (see also [73], where a handful of typos from [20] were fixed).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On curvature-squared invariants of minimal five-dimensional supergravity from superspace

Gold¹,

Hutomo²,

Khandelwal³

et al. 2023

Preprint

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We elaborate on the off-shell superspace construction of curvature-squared invariants in minimal five-dimensional supergravity. This is described by the standard Weyl multiplet of conformal supergravity coupled to two compensators being a vector multiplet and a linear multiplet. In this set-up, we review the definition of the off-shell two-derivative gauged supergravity together with the three independent four-derivative superspace invariants defined in arXiv:1410.8682. We provide the explicit expression for the linear multiplet based on a prepotential given by the logarithm of the vector multiplet primary superfield. We then present for the first time the primary equations of motion for minimal gauged off-shell supergravity deformed by an arbitrary combination of these three four-derivative locally superconformal invariants. We also identify a four-derivative invariant based on the linear multiplet compensator and the kinetic superfield of a vector multiplet which can be used to engineer an alternative supersymmetric completion of the scalar curvature squared.

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