Spin 2 operators in holographic 4d $$ \mathcal{N}=2 $$ SCFTs

Chen, Kevin; Gutperle, Michael; Uhlemann, Christoph F.

doi:10.1007/jhep06(2019)139

Cited by 14 publications

(10 citation statements)

References 32 publications

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“…We will show that the only arbitrarily small eigenvalues come from the spectrum of Σ. We could argue for this by adapting the analysis in [75], but for completeness we prefer giving our own alternative version of the argument.…”

Section: Jhep12(2021)217mentioning

confidence: 98%

Cheeger bounds on spin-two fields

Luca

Ponti

Mondino

et al. 2021

J. High Energ. Phys.

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We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry-Émery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdSd vacua with a bridge admitting an AdSd+1 interpretation, the holographic dual is a CFTd with two CFTd−1 boundaries. The ratio of their degrees of freedom gives the graviton mass, generalizing results obtained by Bachas and Lavdas for d = 4. We also prove new bounds on the higher eigenvalues. These are in agreement with the spin-two swampland conjecture in the regime where the background is scale-separated; in the opposite regime we provide examples where they are in naive tension with it.

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Section: Jhep12(2021)217mentioning

confidence: 98%

Cheeger bounds on spin-two fields

Luca

Ponti

Mondino

et al. 2021

J. High Energ. Phys.

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show abstract

“…We will show that the only arbitrarily small eigenvalues come from the spectrum of Σ. We could argue for this by adapting the analysis in [73], but for completeness we prefer giving our own alternative version of the argument.…”

Section: Direct Analysismentioning

confidence: 98%

Cheeger bounds on spin-two fields

De Luca,

De Ponti,

Mondino

et al. 2021

Preprint

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We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry-Émery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdS d vacua with a bridge admitting an AdS d+1 interpretation, the holographic dual is a CFT d with two CFT d−1 boundaries. The ratio of their degrees of freedom gives the graviton mass, generalizing results obtained by Bachas and Lavdas for d = 4. We also prove new bounds on the higher eigenvalues. These are in agreement with the spin-two swampland conjecture in the regime where the background is scale-separated; in the opposite regime we provide examples where they are in naive tension with it.

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“…Two appendices on relevant group theory and on further speculation about space invasion complete the paper. Other results on KK graviton spectra in related contexts include [15,16,[20][21][22][23][24][25][26][27][28][29][30].…”

Section: Jhep10(2020)041mentioning

confidence: 99%

A cubic deformation of ABJM: the squashed, stretched, warped, and perturbed gets invaded

Cesàro

Larios

Varela

2020

J. High Energ. Phys.

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A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new $$ \mathcal{N} $$ N = 2 superconformal phase. This is holographically dual to a warped AdS4×wS7 solution of M-theory equipped with a squashed and stretched metric on S7. We determine the spectrum of spin-2 operators of the cubic deformation at low energies by computing the spectrum of Kaluza-Klein (KK) gravitons over the dual AdS4 solution. We calculate, numerically, the complete graviton spectrum and, analytically, the spectrum of gravitons that belong to short multiplets. We also use group theory to assess the structure of the full KK spectrum, and conclude that $$ \mathcal{N} $$ N = 2 supermultiplets cannot be allocated KK level by KK level. This phenomenon, usually referred to as “space invaders scenario”, is also known to occur for another AdS4 solution based on a different squashed S7.

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Spin 2 operators in holographic 4d $$ \mathcal{N}=2 $$ SCFTs

Cited by 14 publications

References 32 publications

Cheeger bounds on spin-two fields

Cheeger bounds on spin-two fields

Cheeger bounds on spin-two fields

A cubic deformation of ABJM: the squashed, stretched, warped, and perturbed gets invaded

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