3,150 research outputs found
Gravitational Couplings of Higher Spins from String Theory
We calculate the interaction 3-vertex of two massless spin 3 particles with a
graviton using vertex operators for spin 3 fields in open string theory,
constructed in our previous work. The massless spin 3 fields are shown to
interact with the graviton through the linearized Weyl tensor, reproducing the
result by Boulanger, Leclercq and Sundell. This is consistent with the general
structure of the non-Abelian couplings, implying that the minimal
number of space-time derivatives in the interaction vertices of two spin s and
one spin 2 particle is equal to .Comment: 19 page
Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
In the eighties, Berends, Burgers and van Dam (BBvD) found a nonabelian cubic
vertex for self-interacting massless fields of spin three in flat spacetime.
However, they also found that this deformation is inconsistent at higher order
for any multiplet of spin-three fields. For arbitrary symmetric gauge fields,
we severely constrain the possible nonabelian deformations of the gauge algebra
and, using these results, prove that the BBvD obstruction cannot be cured by
any means, even by introducing fields of spin higher (or lower) than three.Comment: 19 pages, no figur
Higher Spin Interactions in Four Dimensions: Vasiliev vs. Fronsdal
We consider four-dimensional Higher-Spin Theory at the first nontrivial order
corresponding to the cubic action. All Higher-Spin interaction vertices are
explicitly obtained from Vasiliev's equations. In particular, we obtain the
vertices that are not determined solely by the Higher-Spin algebra structure
constants. The dictionary between the Fronsdal fields and Higher-Spin
connections is found and the corrections to the Fronsdal equations are derived.
These corrections turn out to involve derivatives of arbitrary order. We
observe that the vertices not determined by the Higher-Spin algebra produce
naked infinities, when decomposed into the minimal derivative vertices and
improvements. Therefore, standard methods can only be used to check a rather
limited number of correlation functions within the HS AdS/CFT duality. A
possible resolution of the puzzle is discussed.Comment: 56 pages=40+Appendices; 1 figure; typos fixed, one ref adde
On the uniqueness of higher-spin symmetries in AdS and CFT
We study the uniqueness of higher-spin algebras which are at the core of
higher-spin theories in AdS and of CFTs with exact higher-spin symmetry, i.e.
conserved tensors of rank greater than two. The Jacobi identity for the gauge
algebra is the simplest consistency test that appears at the quartic order for
a gauge theory. Similarly, the algebra of charges in a CFT must also obey the
Jacobi identity. These algebras are essentially the same. Solving the Jacobi
identity under some simplifying assumptions spelled out, we obtain that the
Eastwood-Vasiliev algebra is the unique solution for d=4 and d>6. In 5d there
is a one-parameter family of algebras that was known before. In particular, we
show that the introduction of a single higher-spin gauge field/current
automatically requires the infinite tower of higher-spin gauge fields/currents.
The result implies that from all the admissible non-Abelian cubic vertices in
AdS(d), that have been recently classified for totally symmetric higher-spin
gauge fields, only one vertex can pass the Jacobi consistency test. This cubic
vertex is associated with a gauge deformation that is the germ of the
Eastwood-Vasiliev's higher-spin algebra.Comment: 37 pages; refs added, proof of uniquiness was improve
Two-way time transfers between NRC/NBS and NRC/USNO via the Hermes (CTS) satellite
At each station the differences were measured between the local UTC seconds pulse and the remote UTC pulse received by satellite. The difference between the readings, if station delays are assumed to be symmetrical, is two times the difference between the clocks at the two ground station sites. Over a 20-minute period, the precision over the satellite is better than 1 ns. The time transfer from NRC to the CRC satellite terminal near Ottawa and from NBS to the Denver HEW terminal was examined
Non-abelian cubic vertices for higher-spin fields in AdS(d)
We use the Fradkin-Vasiliev procedure to construct the full set of non-abelian cubic vertices for totally symmetric higher spin gauge fields in anti-de Sitter space. The number of such vertices is given by a certain tensor-product multiplicity. We discuss the one-to-one relation between our result and the list of non-abelian gauge deformations in flat space obtained elsewhere via the cohomological approach. We comment about the uniqueness of Vasiliev's simplest higher-spin algebra in relation with the (non)associativity properties of the gauge algebras that we classified. The gravitational interactions for (partially)-massless (mixed)-symmetry fields are also discussed. We also argue that those mixed-symmetry and/or partially-massless fields that are described by one-form connections within the frame-like approach can have nonabelian interactions among themselves and again the number of nonabelian vertices should be given by tensor product multiplicities
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