Publications (9)18.86 Total impact
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ABSTRACT: Consistent couplings between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field are analyzed in the framework of Lagrangian BRST cohomology. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interacting Lagrangian is at most secondorder derivative, it is proved that there are no consistent crossinteractions between a single massless tensor field with the mixed symmetry of the Riemann tensor and one massless vector field. 
Article: Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field
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ABSTRACT: Under the hypotheses of smoothness in the coupling constant, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the preservation of the number of derivatives on each field, the consistent interactions between a single free massless tensor gauge field with the mixed symmetry of a twocolumn Young diagram of the type (3,1) and one Abelian vector field have been investigated. The computations are done with the help of the deformation theory based on a cohomological approach, in the context of the antifieldBRST formalism. The main result is that there exist nontrivial crosscouplings between these types of fields in five spatiotemporal dimensions, which break the PT invariance and allow for the deformation of the gauge transformations of the vector field, but not of the gauge algebra.  [Show abstract] [Hide abstract]
ABSTRACT: The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry $(3,1)$ and an Abelian $p$form are investigated in the framework of the BRST formalism combined with cohomological techniques. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincar\'{e} invariance of the deformations, supplemented by the requirement that the interacting Lagrangian is at most secondorder derivative, it is proved that for every value $p\geq 1$ of the form degree there are consistent couplings between the Abelian form and the massless $(3,1)$ gauge field. 
Article: BF models
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ABSTRACT: The problem of investigating consistent interactions that can be added to a set of scalar fields, two collections of oneforms and a system of twoforms, described in the free limit by a sum of abelian BF models, is reviewed .  [Show abstract] [Hide abstract]
ABSTRACT: The main BRST cohomological properties of a free, massless tensor field that transforms in an irreducible representation of GL(D, R), corresponding to a rectangular, twocolumn Young diagram with k > 2 rows are studied in detail. 
Article: Interactions of a single massless tensor field with the mixed symmetry (3,1). Nogo results
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ABSTRACT: Nontrivial consistent interactions of a single massless tensor field tλμνα with the mixed symmetry corresponding to the twocolumn Young diagram (3,1), dual to linearized gravity in D = 6 spacetime dimensions, are studied in the following cases: selfcouplings, crossinteractions with a PauliFierz field and crosscouplings to purely matter theories. Our approach is based on the deformation of the solution to the master equation from the antifieldBRST formalism by means of the local cohomology of the BRST differential. Our main results, obtained under the assumptions that the emerging interactions are local, smooth, Lorentzcovariant, Poincaréinvariant and of maximum derivative order equal to two, can be synthesized into: no consistent selfcouplings exist; no crossinteractions with the PauliFierz field can be added; no nontrivial consistent crosscouplings to the matter theories are allowed.  [Show abstract] [Hide abstract]
ABSTRACT: Lagrangian interactions in a class of twodimensional tensor gauge field theory are derived by means of deforming the solution to the master equation with specific cohomological techniques. Both the gauge transformations and their algebra are deformed. The gauge algebra of the coupled model is open.  [Show abstract] [Hide abstract]
ABSTRACT: A special class of mixedsymmetry type tensor gauge fields of degrees two and three in four dimensions is investigated from the perspective of the Lagrangian deformation procedure based on cohomological BRST techniques. It is shown that the deformed solution to the master equation can be taken to be nonvanishing only at the first order in the coupling constant. As a consequence, we deduce an interacting model with deformed gauge transformations, an open gauge algebra and undeformed reducibility functions. The resulting coupled Lagrangian action contains a quartic vertex and some ``mass'' terms involving only the tensor of degree two. We discuss in what sense the results of the deformation procedure derived here are complementary to recent others.  [Show abstract] [Hide abstract]
ABSTRACT: Consistent Hamiltonian interactions that can be added to an abelian free BFtype class of theories in any n greater or equal to 4 spacetime dimensions are constructed in the framework of the Hamiltonian BRST deformation based on cohomological techniques. The resulting model is an interacting field theory in higher dimensions with an open algebra of onshell reducible firstclass constraints. We argue that the Hamiltonian couplings are related to a natural structure of Poisson manifold on the target space. Comment: 27 pages, uses JHEP3.cls
Publication Stats
36  Citations  
18.86  Total Impact Points  
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Institutions

20032005

University of Craiova
 Department of Physics
Craiova, Judetul Dolj, Romania
