53 research outputs found
Current Interactions from the One-Form Sector of Nonlinear Higher-Spin Equations
The form of higher-spin current interactions in the sector of one-forms is
derived from the nonlinear higher-spin equations in . Quadratic
corrections to higher-spin equations are shown to be independent of the phase
of the parameter in the full nonlinear higher-spin
equations. The current deformation resulting from the nonlinear higher-spin
equations is represented in the canonical form with the minimal number of
space-time derivatives. The non-zero spin-dependent coupling constants of the
resulting currents are determined in terms of the higher-spin coupling constant
. Our results confirm the conjecture that (anti-)self-dual
nonlinear higher-spin equations result from the full system at () .Comment: 38 pages, no figures; V2: 39 pages, minor corrections, to be
published versio
Higher-Rank Fields and Currents
invariant field equations in the space with symmetric
matrix coordinates are classified. Analogous results are obtained for
Minkowski-like subspaces of which include usual Minkowski
space as a particular case. The constructed equations are associated with the
tensor products of the Fock (singleton) representation of of any rank
. The infinite set of higher-spin conserved currents multilinear
in rank-one fields in is found. The associated conserved charges
are supported by dimensional differential forms in , that are closed by
virtue of the rank- field equations. The cohomology groups
with all and , which determine
the form of appropriate gauge fields and their field equations, are found both
for and for its Minkowski-like subspace.Comment: 27 pages; V2: Significant extension of the results to computation of
all cohomologies, 43 pages; V3: Discussion of equations in
generalized Minkowski space from the perspective of usual Minkowski space and
reference added, typos corrected, the journal version, 44 page
Homotopy Operators and Locality Theorems in Higher-Spin Equations
A new class of shifted homotopy operators in higher-spin gauge theory is
introduced. A sufficient condition for locality of dynamical equations is
formulated and Pfaffian Locality Theorem identifying a subclass of shifted
homotopies that decrease the degree of non-locality in higher orders of the
perturbative expansion is proven.Comment: 22 pages, no figures; V3: Some normalizations changed to conform to
1807.00001, acknowledgement added; V4: 20 pages. Matches the published
version. Clarifications and reference added. Section 7 is removed in favor of
a more detailed future publicatio
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