Inconsistency of breathing mode extensions of maximal five-dimensional supergravity embedding

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Abstract

Recent work on consistent Kaluza-Klein reductions on Einstein-Sasaki spaces prompted an intriguing conjecture that there might exist a consistent S 5 reduction of type IIB supergravity to give five-dimensional \( \mathcal{N} \) = 8 gauged supergravity coupled to a massive supermultiplet that includes the breathing-mode scalar. Motivated by this, we investigate the possibility of augmenting the usual \( \mathcal{N} \) = 8 supergravity reduction to include a breathing-mode scalar, and we show that this is in fact inconsistent. The standard reduction to the massless \( \mathcal{N} \) = 8 supermultiplet depends for its consistency on a delicate interplay between properties of the ten-dimensional type IIB theory and properties of the Killing vectors on S 5. Our calculations show that turning on the breathing-mode is sufficient to destroy the balance, and hence render the reduction inconsistent.

Keywords

Field Theories in Higher Dimensions Supergravity Models 
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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Michigan Center for Theoretical Physics, Randall Laboratory of PhysicsThe University of MichiganAnn ArborU.S.A
  2. 2.George P. & Cynthia W. Mitchell Institute for Fundamental Physics and AstronomyTexas A&M UniversityCollege StationU.S.A
  3. 3.DAMTP, Centre for Mathematical SciencesCambridge UniversityCambridgeU.K

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