TY - JOUR

T1 - Extended vector-tensor theories

AU - Kimura, Rampei

AU - Naruko, Atsushi

AU - Yoshida, Daisuke

N1 - Funding Information:
A.N. would like to thank Antonio De Felice and Shinji Mukohyama for fruitful discussions. A.N. is grateful to Max-Planck-Institut für Astrophysik (MPA), Arnold Sommerfeld Center for Theoretical Physics (ASC), Academy of Sciences of the Czech Republic, Laboratoire Astroparticule et Cosmologie (APC) and Hirosaki University for warm hospitality where this work was advanced and also the Yukawa Institute for Theoretical Physics at Kyoto University since discussions during the YITP workshop YITP-X-16-03 on "New perspective on theory and observation of large-scale structure" were useful for this work. R.K. is supported by the Grant-in-Aid for Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research Nos. 25287054. D.Y. is supported by the JSPS Research Fellowship for Young Scientists No. 2611495. The work of A.N. is supported in part by the JSPS Research Fellowship for Young Scientists No. 263409 and JSPS Grant-in-Aid for Scientific Research No. 16H01092.
Publisher Copyright:
© 2017 IOP Publishing Ltd and Sissa Medialab srl.

PY - 2017/1/2

Y1 - 2017/1/2

N2 - Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures. In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric and vector field. By imposing a degeneracy condition of the Lagrangian in the context of ADM decomposition of space-time to eliminate an unwanted mode, we construct a new class of massive vector theories where five degrees of freedom can propagate, corresponding to three for massive vector modes and two for massless tensor modes. We find that the generalized Proca and the beyond generalized Proca theories up to the quartic Lagrangian, which should be included in this formulation, are degenerate theories even in curved space-time. Finally, introducing new metric and vector field transformations, we investigate the properties of thus obtained theories under such transformations.

AB - Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures. In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric and vector field. By imposing a degeneracy condition of the Lagrangian in the context of ADM decomposition of space-time to eliminate an unwanted mode, we construct a new class of massive vector theories where five degrees of freedom can propagate, corresponding to three for massive vector modes and two for massless tensor modes. We find that the generalized Proca and the beyond generalized Proca theories up to the quartic Lagrangian, which should be included in this formulation, are degenerate theories even in curved space-time. Finally, introducing new metric and vector field transformations, we investigate the properties of thus obtained theories under such transformations.

KW - Dark energy theory

KW - Modified gravity

UR - http://www.scopus.com/inward/record.url?scp=85012940480&partnerID=8YFLogxK

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U2 - 10.1088/1475-7516/2017/01/002

DO - 10.1088/1475-7516/2017/01/002

M3 - Article

AN - SCOPUS:85012940480

SN - 1475-7516

VL - 2017

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

IS - 1

M1 - 002

ER -