390 research outputs found
Direct construction of a cubic selfinteraction for higher spin gauge fields
Using Noether's procedure we directly construct a complete cubic
selfinteraction for the case of spin s=4 in a flat background and discuss the
cubic selfinteraction for general spin s with s derivatives in the same
background. The leading term of the latter interaction together with the
leading gauge transformation of first field order are presented.Comment: Latex, 20 pages, v.2 minor changes, references added, v.3 accepted in
Nucl.Phys.
On Nonlinear Higher Spin Curvature
We present the first nonlinear term of the higher spin curvature which is
covariant with respect to deformed gauge transformations that are linear in the
field. We consider in detail the case of spin 3 after presenting spin 2 as an
example, and then construct the general spin s quadratic term of the
deWit-Freedman curvature.Comment: 12 page
The quantum one loop trace anomaly of the higher spin conformal conserved currents in the bulk of
An analysis of the structure and singularities of the one loop two point
function of the higher spin traceless and conserved currents constructed from
the single scalar field in space is presented. The detailed
renormalization procedure is constructed and the quantum violation of the
traceless Ward identity is investigated. The connection with the one loop
effective action for higher spin gauge fields is discussed.Comment: 23 pages, Latex, misprints corrected, v.3 two sections added, v.4
published version in Nucl. Phys.
A generating function for the cubic interactions of higher spin fields
We present an off-shell generating function for all cubic interactions of
Higher Spin gauge fields constructed in arXiv:1003.2877. It is a generalization
of the on-shell generating function proposed in arXiv:1006.5242, is written in
a very compact way, and turns out to have a remarkable structure.Comment: 14 pages, Latex,v.2 misprints corrected, v.3 ref. added, v. 4
published in Phys. Lett.
The structure of the trace anomaly of higher spin conformal currents in the bulk of
The two-point function of the conserved traceless spin- currents which
are constructed from the scalar field is evaluated and renormalized
by a dimensional regularization procedure. The anomaly is managed to arise only
in the trace part. To isolate this trace anomaly it is sufficient to analyze
only the maximum singular part of the two-point function and its trace terms to
leading order. The corresponding part of the effective action which is
quadratic in the trace of the higher spin field is explicitly given. For the
spin-2 field which is identical with the gravitational field the results known
from the literature are reproduced.Comment: latex, 21 pages,v.2 minor addition, ref. added, v.3 accepted in
Nucl.Phys.
Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}
The explicit form of linearized gauge invariant interactions of scalar and
general higher even spin fields in the space is obtained. In the case
of general spin a generalized 'Weyl' transformation is proposed and the
corresponding 'Weyl' invariant action is constructed. In both cases the
invariant actions of the interacting higher even spin gauge field and the
scalar field include the whole tower of invariant actions for couplings of the
same scalar with all gauge fields of smaller even spin. For the particular
value of all results are in exact agreement with hep-th/0403241Comment: 18 pages, Latex,v.2 accepted in Mod. Phys. Lett.
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