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
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.

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