On dual formulations of gravity | Zendy

Yu. M. Zinoviev | Zendy

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On dual formulations of gravity

Author(s) -

Yu. M. Zinoviev

Publication year - 2006

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 - 10.1088/1126-6708/2006/10/009

Subject(s) - minkowski space , spin connection , connection (principal bundle) , physics , affine connection , theoretical physics , tetrad , gravitation , mathematical physics , lorentz transformation , classical mechanics , massless particle , affine transformation , mathematics , pure mathematics , geometry

In this paper we consider a possibility to construct dual formulation ofgravity where the main dynamical field is the Lorentz connection\omega_\mu^{ab} and not that of tetrad e_\mu^a or metric g_\mu\nu. Our approachis based on the usual dualization procedure which uses first order parentLagrangians but in (Anti) de Sitter space and not in the flat Minkowski one. Itturns out that in d=3 dimensions such dual formulation is related with the socalled exotic parity-violating interactions for massless spin-2 particles.Comment: 7 pages, plain LaTe

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