Cubic interactions of massive and partially-massless totally-symmetric higherspin fields in any constant-curvature background of dimension greater than three are investigated. Making use of the ambient-space formalism, the consistency condition for the traceless and transverse parts of the parity-invariant interactions is recast into a system of partial differential equations. The latter can be explicitly solved for given s 1 −s 2 −s 3 couplings and the 2−2−2 and 3−3−2 examples are provided in detail for general choices of the masses. On the other hand, the general solutions for the interactions involving massive and massless fields are expressed in a compact form as generating functions of all the consistent couplings. The Stückelberg formulation of the cubic interactions as well as their massless limits are also analyzed.
Generating functions encoding cubic interactions of (partially-)massless higherspin fields are provided within the ambient-space formalism. They satisfy a system of higher-order partial differential equations that can be explicitly solved due to their factorized form. We find that the number of consistent couplings increases whenever the squares of the field masses take some integer values (in units of the cosmological constant) and satisfy certain conditions. Moreover, it is shown that only the supplemental solutions can give rise to non-Abelian deformations of the gauge symmetries. The presence of these conditions on the masses is a distinctive feature of (A)dS interactions that has in general no direct counterpart in flat space.
The Noether procedure represents a perturbative scheme to construct all possible consistent interactions starting from a given free theory. In this note we describe how cubic interactions involving higher spins in any constant-curvature background can be systematically derived within this framework.Invited contribution to the J. Phys. A special volume on "Higher Spin Theories and AdS/CFT" edited by Matthias Gaberdiel and Misha Vasiliev.
A 4-parametric exact solution describing a two-body system of identical Kerr-Newman counterrotating black holes endowed with opposite electric/magnetic charges is presented. The axis conditions are solved in order to really describe two black holes separated by a massless strut. Moreover, the explicit form of the horizon half length parameter σ in terms of physical Komar parameters, i.e., Komar's mass M , electric charge QE, angular momentum J, and a coordinate distance R is derived. Additionally, magnetic charges QB arise from the rotation of electrically charged black holes. As a consequence, in order to account for the contribution to the mass of the magnetic charge, the usual Smarr mass formula should be generalized, as it is proposed by A. Tomimatsu, Prog. Theor. Phys. 72, 73 (1984).
The expressions for the quasinormal modes (QNMs) of black holes with nonlinear electrodynamics, calculated in the eikonal approximation, are presented. In the eikonal limit QNMs of
A 5-parametric exact solution, describing a binary system composed of
identical counter-rotating black holes endowed with opposite electromagnetic
charges, is constructed. The addition of the angular momentum parameter to the
static Emparan-Teo dihole model introduces magnetic charges into this two-body
system. The solution can be considered as an extended model for describing
generalized black diholes as dyons. We derive the explicit functional form of
the horizon half-length parameter $\sigma$ as a function of the Komar
parameters: Komar mass $M$, electric/magnetic charge $Q_{E }/ Q_{B}$, angular
momentum $J$, and a coordinate distance $R$, where the parameters $(M, J, Q_E,
Q_B, R)$ characterize the upper constituent of the system, while $(M, -J, -Q_E,
-Q_B, R)$ are associated with the lower one. The addition of magnetic charges
enhances the standard Smarr mass formula in order to take into account their
contribution to the mass. The solution contains, as particular cases, two
solutions already discussed in the literature.Comment: 8 pages, 3 figures, 1 table; accepted in Phys. Rev.
We study properties of 1/2 BPS Higher Spin states in heterotic compactifications with extended supersymmetry. We also analyze non BPS Higher Spin states and give explicit expressions for physical vertex operators of the first two massive levels. We then study on-shell tri-linear couplings of these Higher Spin states and confirm that BPS states with arbitrary spin cannot decay into lower spin states in perturbation theory. Finally, we consider scattering of vector bosons off higher spin BPS states and extract form factors and polarization effects in various limits.
A binary system of identical corotating Kerr sources is studied after
deriving the corresponding 3-parametric asymptotically flat exact solution.
Both sources are apart from each other by means of a massless strut (conical
singularity). In the context of black holes, the analytical functional form of
each horizon {\sigma} is expressed in terms of arbitrary Komar physical
parameters: mass M, angular momentum J (with parallel spin), and the coordinate
distance R between the center of each horizon. Later on, all the
thermodynamical properties related to the horizon are depicted by concise
formulae. Finally, the extreme limit case is obtained as a 2-parametric
subclass of Kinnersley-Chitre metric.Comment: 7 pages, 7 figures, improved figures, typos correcte
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