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

  • Achilleas Passias
  • Paul Richmond
Open Access
Regular Article - Theoretical Physics

Abstract

We initiate the analysis of the Kaluza-Klein mass spectrum of massive IIA supergravity on the warped AdS6 ×w S4 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 \( \mathfrak{f}(4) \) symmetry superalgebra of the AdS6 ×w S4 solution.

Keywords

AdS-CFT Correspondence Field Theories in Higher Dimensions Supergravity Models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUppsala UniversityUppsalaSweden
  2. 2.Dipartimento di Fisica, Università di Milano-Bicocca, and INFN, sezione di Milano-BicoccaMilanoItaly

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