Aspects of Weyl supergravity

Ferrara, S.; Kehagias, Alex; Lüst, Dieter

doi:10.1007/jhep08(2018)197

Cited by 24 publications

(27 citation statements)

References 71 publications

(88 reference statements)

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“…This theory can be considered as a massive Weyl 2 theory [57,58] as the conformal invariance of the Weyl action is broken both by the Einstein term and the cosmological constant Λ. In order the theory to admit the dS solution (149), we choose Λ = 3H 2 .…”

Section: Infinite Distance and The Higuchi Bound From The Einstein-w mentioning

confidence: 99%

Swampland, gradient flow and infinite distance

Kehagias

Lüst

2020

J. High Energ. Phys.

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In the first part of this paper we will work out a close and so far not yet noticed correspondence between the swampland approach in quantum gravity and geometric flow equations in general relativity, most notably the Ricci flow. We conjecture that following the gradient flow towards a fixed point, which is at infinite distance in the space of background metrics, is accompanied by an infinite tower of states in quantum gravity. In case of the Ricci flow, this conjecture is in accordance with the generalized distance and AdS distance conjectures, which were recently discussed in the literature, but it should also hold for more general background spaces. We argue that the entropy functionals of gradient flows provide a useful definition of the generalized distance in the space of background fields. In particular we give evidence that for the Ricci flow the distance ∆ can be defined in terms of the mean scalar curvature of the manifold, ∆ ∼ logR. For a more general gradient flow, the distance functional also depends on the string coupling constant.In the second part of the paper we will apply the generalized distance conjecture to gravity theories with higher curvature interactions, like higher derivative R 2 and W 2 terms. We will show that going to the weak coupling limit of the higher derivative terms corresponds to the infinite distance limit in metric space and hence this limit must be accompanied by an infinite tower of light states. For the case of the R 2 or W 2 couplings, this limit corresponds to the limit of a small cosmological constant or, respectively, to a light additional spin-two field in gravity. In general we see that the limit of small higher curvature couplings belongs to the swampland in quantum gravity, just like the limit of a small U (1) gauge coupling belongs to the swampland as well.

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Section: Infinite Distance and The Higuchi Bound From The Einstein-w mentioning

confidence: 99%

Swampland, gradient flow and infinite distance

Kehagias

Lüst

2020

J. High Energ. Phys.

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“…[17]. They are also interesting in the context of cosmology and supergravity, see [18][19][20][21] and Refs. therein;…”

Section: Introductionmentioning

confidence: 99%

Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants

et al. 2019

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The status of classical stability in higher-derivative systems is still subject to discussions. In this note, we argue that, contrary to general belief, many higher-derivative systems are classically stable. The main tool to see this property are Nekhoroshev's estimates relying on the action-angle formulation of classical mechanics. The latter formulation can be reached provided the Hamiltonian is separable, which is the case for higher-derivative harmonic oscillators. The Pais-Uhlenbeck oscillators appear to be the only type of higher-derivative harmonic oscillator with stable classical dynamics. A wide class of interaction potentials can even be added that preserve classical stability. Adiabatic invariants are built in the case of a Pais-Uhlenbeck oscillator slowly changing in time; it is shown indeed that the dynamical stability is not jeopardised by the time-dependent perturbation. arXiv:1811.07733v2 [physics.class-ph]

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“…They appear, in particular, in extended conformal supergravities [1][2][3][4] written in terms of N = 1 multiplets. Recently, such multiplets were considered in the computation of conformal anomalies (in 4 and 6 dimensions) in the context of AdS/CFT [5][6][7][8][9]; similar massless and massive multiplets were also discussed in [10]. Nonunitary superconformal theories may have other interesting applications (see, e.g., [11]).…”

Section: Jhep10(2018)087mentioning

confidence: 99%

“…This leads to the singular Cardy-type term in (2.6). 10 The relation (2.5) of E susy to the conformal anomaly coefficients was demonstrated explicitly in the case of the chiral and vector multiplets [29,34]. In addition, a general derivation was proposed in [61] based on a representation of E susy in terms of the anomaly polynomial and assuming the standard relations (2.11) between the anomaly coefficients.…”

Section: Jhep10(2018)087mentioning

confidence: 99%

Superconformal index of higher derivative $$ \mathcal{N}=1 $$ multiplets in four dimensions

Beccaria

Tseytlin

2018

J. High Energ. Phys.

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Supersymmetric partition function of N = 1 superconformal theories on S 1 β × S 3 is related to the superconformal index receiving contributions from short representations. The leading coefficients in the small β (high "temperature") expansion of the index were previously related to the conformal anomaly coefficients of the theory. Assumptions underlying universality of these relations were tested only for simplest low-spin unitary multiplets. Here we consider examples of higher derivative non-unitary N = 1 multiplets that naturally appear in the context of extended conformal supergravities and compute their superconformal index. We compare the coefficients in the small β expansion of the index with those proposed earlier for unitary multiplets and suggest some modifications that should apply universally to all types of theories. We also comment on the structure of subleading terms and the case of N = 4 conformal supergravity.

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Aspects of Weyl supergravity

Cited by 24 publications

References 71 publications

Swampland, gradient flow and infinite distance

Swampland, gradient flow and infinite distance

Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants

Superconformal index of higher derivative $$ \mathcal{N}=1 $$ multiplets in four dimensions

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