Article

# Dual linearized gravity in D = 6 coupled to a purely spin‐two field of mixed symmetry (2,2)

Department of Theoretical Physics, Horia Hulubei National Institute of Physics and Nuclear Engineering, PO Box MG-6, Bucharest, Magurele 077125, Romania
Fortschritte der Physik (impact factor: 1.16). 03/2010; 58(4‐5):341 - 363. DOI:10.1002/prop.200900092 pp.341 - 363

ABSTRACT Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincaré invariance of the deformations, combined with the requirement that the interaction vertices contain at most two spatiotemporal derivatives of the fields, we investigate the consistent interactions between a single massless tensor field with the mixed symmetry (3,1) and one massless tensor field with the mixed symmetry (2,2). The computations are done with the help of the deformation theory based on a cohomological approach, in the context of the antifield-BRST formalism. Our result is that dual linearized gravity in D = 6 gets coupled to a purely spin-two field with the mixed symmetry of the Riemann tensor such that both the gauge transformations and first-order reducibility relations in the (3,1) sector are changed, but not the gauge algebra.

0 0
·
0 Bookmarks
·
38 Views

### Keywords

analyticity

antifield-BRST formalism

cohomological approach

consistent interactions

deformation theory

deformations

first-order reducibility relations

gauge algebra

gauge transformations

interaction vertices

Lorentz covariance

massless tensor field

mixed symmetry

Poincaré invariance

Riemann tensor

single massless tensor field