1,720,979 research outputs found
On Covariant Actions for Chiral p-Forms
Full text linkWe construct a Lorentz covariant, polynomial action for free chiral forms, classically equivalent to the Pasti-Sorokin-Tonin (PST) formulation. The minimal set up requires introducing an auxiliary form on top of the physical gauge form and the PST scalar. The action enjoys duality symmetries which exchange the roles of physical and auxiliary form fields. Same type of actions are available for duality-symmetric formulations, which is demonstrated on the example of electromagnetic field in four dimensions. There, the degrees of freedom of a single Maxwell field are described employing four distinct vector gauge fields and a scalar field. Similarly to PST, our models are available only in spaces of Minkowski signature
Cubic interactions of massless bosonic fields in three dimensions
Full text linkParity-even cubic vertices of massless bosons of arbitrary spins in three dimensional Minkowski space are classified in the metric-like formulation. As opposed to higher dimensions, there is at most one vertex for any given triple in three dimensions. All the vertices with more than three derivatives are of the type , and involving scalar and/or Maxwell fields. All other vertices contain two (three) derivatives, when the sum of the spins is even (odd). Minimal coupling to gravity, , has two derivatives and is universal for all spins (equivalence principle holds). Minimal coupling to Maxwell field, , distinguishes spins and as it involves one derivative in the former case and three derivatives in the latter case. Some consequences of this classification are discussed
On generating functions of higher-spin cubic interactions
Full text linkWe present off-shell generating functions for all cubic interactions of totally symmetric massless Higher-Spin gauge fields and discuss their properties. © 2012 Pleiades Publishing, Ltd
Linearized interactions of scalar and vector fields with the higher spin field in AdSD
No full textThe explicit form of linearized gauge arid generalized "Weyl invariant" interactions of scalar and general higher even spin fields in the AdSD space constructed in [1] is reviewed. Also a linearized interaction of vector field with general higher even spin, gauge field is obtained. It is shown that the gauge invariant action of linearized vector field interacting with the higher spin field also includes the whole tower of invariant actions for couplings of the same vector field with the gauge fields of smaller even spin. © 2011 Pleiades Publishing, Ltd
A note on higher-derivative actions for free higher-spin fields
Full text linkHigher-derivative theories of free higher-spin fields are investigated focusing on their symmetries. Generalizing familiar two-derivative constrained formulations, we first construct less-constrained Einstein-like and Maxwell-like higher-derivative actions. Then, we construct Weyl-like actions - the actions admitting constrained Weyl symmetries - with different numbers of derivatives. They are presented in a factorized form making use of Einstein-like and Maxwell-like tensors. The last (highest-derivative) member of the hierarchy of the Weyl-like actions coincides with the Fradkin-Tseytlin conformal higher-spin action in four dimensions. © 2012 SISSA, Trieste, Italy
Higher-derivative massive actions from dimensional reduction
Full text linkA procedure to obtain higher-derivative free massive actions is proposed. It consists in dimensional reduction of conventional two-derivative massless actions, where solutions to constraints bring in higher derivatives. We apply this procedure to derive the arbitrary dimensional generalizations of (linearized) New Massive Gravity and New Topologically Massive Gravity. © 2013 SISSA
Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
Full text linkThis work completes the classification of the cubic vertices for arbitrary spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a unique parity-odd vertex for any given triple of massless bosons if the triangle inequalities are satisfied () and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum . A non-trivial relation between parity-even and parity-odd vertices is found. Similarly to the parity-even case, the scalar and Maxwell matter can couple to higher spins through current couplings with higher derivatives. We comment on possible lessons for 2d CFT. We also derive both parity-even and parity-odd vertices with Chern-Simons fields and comment on the analogous classification in two dimensions
Vertex-Constraints in 3D Higher Spin Theories
Full text linkWe analyse the constraints imposed by gauge invariance on higher-order interactions between massless bosonic fields in three-dimensional higher-spin gravities. We show that vertices of quartic and higher order that are independent of the cubic ones can only involve scalars and Maxwell fields. As a consequence, the full non-linear interactions of massless higher-spin fields are completely fixed by the cubic vertex
Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators
Full text linkIn the context of higher-spin holography, we compare the classification of cubic interaction vertices for higher-spin gravity theories in three dimensions to the possible three-point correlation functions of conserved higher-spin currents in two-dimensional conformal field theories. In both cases, the allowed structures are governed by triangle inequalities for the involved spins. It is established that higher-order correlators satisfy similar polygon inequalities and that the same inequalities are valid for higher-order continuations of cubic vertices in the three-dimensional higher-spin gravity
Looking for partially-massless gravity
Full text linkWe study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the inclusion of specific massive spin-two fields and leads to a reconstruction of Conformal Gravity, or multiple copies of the latter in even dimensions. By relaxing the parity invariance, we find a possibility of a unitary theory in four dimensions, but this theory cannot be constructed in the standard formulation, due to the absence of the parity-odd cubic vertex therein. Finally, by relaxing the general covariance, we show that a `non-geometric' coupling between massless and PM spin-two fields may lead to an alternative possibility of a unitary theory. We also clarify some aspects of interactions between massless, partially-massless and massive fields, and resolve disagreements in the literature
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