On the spin-2 Kaluza-Klein spectrum of AdS 4 × S 2 ℬ 4 $$ {\mathrm{AdS}}_4\times {S}^2\left({\mathrm{\mathcal{B}}}_4\right) $$

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We study gravitational waves propagating on a warped Minkowski space-time with D − 4 compact extra dimensions. While Kaluza-Klein scales are typically too high for any current detection, we analyse how the warp factor changes the Kaluza-Klein spectrum of gravitational waves. To that end we provide a complete and explicit expression for the warp factor, as well as the Green's function, on a d-dimensional torus. This expression differs from that of braneworld models and should find further uses in string compactifications. We then evaluate the Kaluza-Klein spectrum of gravitational waves. Our preliminary numerical results indicate not only a deviation from the standard toroidal spectrum, but also that the first masses get lowered due to the warp factor.

Section: B Alternative Numerical Methods For the D = 1 Spectrummentioning

confidence: 99%

“…We do so for d = 1, 2, 3 transverse dimensions, with different values of the parameters. For d = 1, this analysis is completed in appendix B by an alternative method, used already in [42]. The spectrum evaluation quantifies the deviations from the standard Kaluza-Klein spectrum.…”

Section: Jhep06(2020)100mentioning

confidence: 99%

Gravitational waves in warped compactifications

Andriot

Tsimpis

2020

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“…2 Spin-2 excitations of flux compactifications with anti-de Sitter, Poincaré or de Sitter invariance obey the massless scalar wave equation in ten dimensions [13]. For other anti-de Sitter backgrounds of massive IIA supergravity, this fact has been exploited in order to study their mass spectrum without deriving the full set of linearised equations of motion [14,15,16,17]. For AdS 6 backgrounds of type IIB supergravity see [18].…”

Section: Introductionmentioning

confidence: 99%

Perturbing AdS6 ×w S4: linearised equations and spin-2 spectrum

Passias

Richmond

2018

We initiate the analysis of the Kaluza-Klein mass spectrum of massive IIA supergravity on the warped AdS 6 × w S 4 background, by deriving the linearised equations of motion of bosonic and fermionic fluctuations, and determining the mass spectrum of those of spin-2. The spin-2 modes are given in terms of hypergeometric functions and a careful analysis of their boundary conditions uncovers the existence of two branches of mass spectra, bounded from below. The modes that saturate the bounds belong to short multiplets which we identify in the representation theory of the f(4) symmetry superalgebra of the AdS 6 × w S 4 solution.

“…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

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.