4,348 research outputs found
Free Field Dynamics in the Generalized AdS (Super)Space
Pure gauge representation for general vacuum background fields (Cartan forms)
in the generalized superspace identified with is found. This
allows us to formulate dynamics of free massless fields in the generalized
space-time and to find their (generalized) conformal and higher spin
field transformation laws. Generic solution of the field equations is also
constructed explicitly. The results are obtained with the aid of the star
product realization of ortosymplectic superalgebras.Comment: Some notes added, corrected typo
Test of the local form of higher-spin equations via AdS/CFT
The local form of higher-spin equations found recently to the second order
[1] is shown to properly reproduce the anticipated correlators for
appropriate boundary conditions. It is argued that consistent
holography for the parity-broken boundary models needs a nontrivial
modification of the bosonic truncation of the original higher-spin theory with
the doubled number of fields, as well as a nonlinear deformation of the
boundary conditions in the higher orders.Comment: 18 pages, Typos and acknowledgement corrected. Misleading notation in
Section 4.2 changed. References correcte
An AdS_3 Dual for Minimal Model CFTs
We propose a duality between the 2d W_N minimal models in the large N 't
Hooft limit, and a family of higher spin theories on AdS_3. The 2d CFTs can be
described as WZW coset models, and include, for N=2, the usual Virasoro unitary
series. The dual bulk theory contains, in addition to the massless higher spin
fields, two complex scalars (of equal mass). The mass is directly related to
the 't Hooft coupling constant of the dual CFT. We give convincing evidence
that the spectra of the two theories match precisely for all values of the 't
Hooft coupling. We also show that the RG flows in the 2d CFT agree exactly with
the usual AdS/CFT prediction of the gravity theory. Our proposal is in many
ways analogous to the Klebanov-Polyakov conjecture for an AdS_4 dual for the
singlet sector of large N vector models.Comment: 33 pages LaTe
A Higgs Mechanism for Gravity. Part II: Higher Spin Connections
We continue the work of hep-th/0503024 in which gravity is considered as the
Goldstone realization of a spontaneously broken diffeomorphism group. We
complete the discussion of the coset space Diff(d,R)/SO(1,d-1) formed by the
d-dimensional group of analytic diffeomorphisms and the Lorentz group. We find
that this coset space is parameterized by coordinates, a metric and an infinite
tower of higher-spin-like or generalized connections. We then study effective
actions for the corresponding symmetry breaking which gives mass to the higher
spin connections. Our model predicts that gravity is modified at high energies
by the exchange of massive higher spin particles.Comment: 17 pages; discussion on local Poincare invariance and matter currents
added; references adde
Charges in nonlinear higher-spin theory
Nonlinear higher-spin equations in four dimensions admit a closed two-form
that defines a gauge-invariant global charge as an integral over a
two-dimensional cycle. In this paper we argue that this charge gives rise to
partitions depending on various lower- and higher-spin chemical potentials
identified with modules of topological fields in the theory. The vacuum
contribution to the partition is calculated to the first nontrivial order for a
solution to higher-spin equations that generalizes AdS4 Kerr black hole of
General Relativity. The resulting partition is non-zero being in parametric
agreement with the ADM-like behavior of a rotating source. The linear response
of chemical potentials to the partition function is also extracted. The
explicit unfolded form of 4d GR black holes is given. An explicit formula
relating asymptotic higher-spin charges expressed in terms of the generalized
higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is
obtained.Comment: 23 pages; V3: typos corrected; references and acknowledgement added;
example of the topological contribution to spin-4 charge added; new Section
3.1 added establishing relation of our construction for asymptotic charges
with the canonical one. Version published in JHE
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