Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
Author(s) -
Massimo Porrati
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/04/058
Subject(s) - graviton , physics , anti de sitter space , de sitter space , higgs field , higgs boson , theoretical physics , space (punctuation) , einstein , higgs mechanism , boundary (topology) , mathematical physics , conformal field theory , gravitation , conformal map , de sitter universe , classical mechanics , quantum mechanics , universe , geometry , mathematics , mathematical analysis , linguistics , philosophy
We show that standard Einstein gravity coupled to a free conformal fieldtheory (CFT) in Anti de Sitter space can undergo a Higgs phenomenon whereby thegraviton acquires a nonzero mass (and three extra polarizations). We show thatthe essential ingredients of this mechanism are the discreteness of the energyspectrum in AdS space, and unusual boundary conditions on the elementary fieldsof the CFT. These boundary conditions can be interpreted as implying theexistence of a 3-d defect CFT living at the boundary of the AdS space. Ourfree-field computation sheds light on the essential, model-independent featuresof AdS that give rise to massive gravity.Comment: 17 page
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