1,173 research outputs found
Star-Product and Massless Free Field Dynamics in
Generic solution of free equations for massless fields of an arbitrary spin
in is built in terms of the star-product algebra with spinor generating
elements. A class of "plane wave" solutions is described explicitly.Comment: 12 pages, latex, no figures. v4: erroneous typos in Eqs. (3.3),
(3.6), (3.7) correcte
On Sp(2M) Invariant Green Functions
Explicit form of two-point and three-point Sp(2M) invariant Green functions
is found.Comment: 7 page
Currents of Arbitrary Spin in
We study conserved currents of any integer or half integer spin built from
massless scalar and spinor fields in . 2-forms dual to the conserved
currents in are shown to be exact in the class of infinite expansions
in higher derivatives of the matter fields with the coefficients containing
inverse powers of the cosmological constant. This property has no analog in the
flat space and may be related to the holography of the AdS spaces.Comment: LaTeX, 11 pages, no figures; minor changes, version to appear in
Phys.Lett.
Higher Spin Fields in Siegel Space, Currents and Theta Functions
Dynamics of four-dimensional massless fields of all spins is formulated in
the Siegel space of complex symmetric matrices. It is shown that
the unfolded equations of free massless fields, that have a form of
multidimensional Schrodinger equations, naturally distinguish between positive-
and negative-frequency solutions of relativistic field equations, i.e.
particles and antiparticles. Multidimensional Riemann theta functions are shown
to solve massless field equations in the Siegel space. We establish the
correspondence between conserved higher-spin currents in four-dimensional
Minkowski space and those in the ten-dimensional matrix space. It is shown that
global symmetry parameters of the current in the matrix space should be
singular to reproduce a nonzero current in Minkowski space. The \D-function
integral evolution formulae for 4d massless fields in the Fock-Siegel space are
obtained. The generalization of the proposed scheme to higher dimensions and
systems of higher ranks is considered.Comment: LaTeX, 38 pages, v.3: clarifications, acknowledgements and references
added, typos corrected, v.4: more comments and references added, typos
corrected, the version to appear in JHE
Coordinate-Free Action for AdS3 Higher-Spin-Matter Systems
A coordinate-free action principle for the N=2 supersymmetric model of spin 0
and spin 1/2 matter fields interacting via Chern-Simons higher spin gauge
fields in AdS3 is formulated in terms of star-product algebra of two
oscillators. Although describing proper relativistic dynamics the action does
not contain space-time coordinates. It is given by a supertrace of a
forth-order polynomial in the 3d higher spin superalgebra. The theory admits a
free parameter characterizing the inequivalent vacua associated with the
parameter of mass m of the matter fields. For the case of the massless matter,
the model has a form of the noncommutative 2d Yang-Mills theory with some
infinite-dimensional gauge group. The limit m\to\infty corresponds to the
SU(\infty) 2d Yang-Mills theory.Comment: LaTeX, 14 pages, no figures; revised version to be published in
Phys.Lett.
Higher-Spin Theory and Space-Time Metamorphoses
Introductory lectures on higher-spin gauge theory given at 7 Aegean workshop
on non-Einstein theories of gravity. The emphasis is on qualitative features of
the higher-spin gauge theory and peculiarities of its space-time
interpretation. In particular, it is explained that Riemannian geometry cannot
play a fundamental role in the higher-spin gauge theory. The higher-spin
symmetries are argued to occur at ultra high energy scales beyond the Planck
scale. This suggests that the higher-spin gauge theory can help to understand
Quantum Gravity. Various types of higher-spin dualities are briefly discussed.Comment: 37 pages, no figures; V2: references adde
Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions
We formulate a non-linear system of equations which describe higher-spin
gauge interactions of massive matter fields in 2+1 dimensional space-time and
explain some properties of the deformed oscillator algebra which underlies this
formulation. In particular we show that the parameter of mass of matter
fields is related to the deformation parameter in this algebra.Comment: LaTex, 12 pages, no figures; Invited talk at the International
Seminar Supersymmetry and Quantum Field Theory dedicated to the memory of
Dmitrij V. Volkov; Kharkov, January 1997; to appear in the proceeding
On Dual Formulation for Higher Spin Gauge Fields in
We obtain dual actions for spin massless fields in by
solving different algebraic constraints in the same first-order theory. Flat
space dual higher spin actions obtained by Boulanger, Cnockaert and Henneaux
\cite{BH} by solving differential constraints are shown to result from our
formulation in a sort of quasi-classical approximation for the flat limit. The
case of is considered in detail.Comment: LaTeX, 13 pages, no figure
Holography of the N=1 Higher-Spin Theory on AdS4
We argue that the N=1 higher-spin theory on AdS4 is holographically dual to
the N=1 supersymmetric critical O(N) vector model in three dimensions. This
appears to be a special form of the AdS/CFT correspondence in which both
regular and irregular bulk modes have similar roles and their interplay leads
simultaneously to both the free and the interacting phases of the boundary
theory. We study various boundary conditions that correspond to boundary
deformations connecting, for large-N, the free and interacting boundary
theories. We point out the importance of parity in this holography and
elucidate the Higgs mechanism responsible for the breaking of higher-spin
symmetry for subleading N.Comment: 19 page
Static BPS black hole in 4d higher-spin gauge theory
We find exact spherically symmetric solution of 4d nonlinear bosonic
higher-spin gauge theory, that preserves a quarter of supersymmetries of N=2
supersymmetric 4d higher-spin gauge theory. In the weak field regime it
describes Schwarzschild black hole in the spin two sector along with
non-zero massless fields of all integer spins.Comment: 16 pages, no figures, A section with the analysis of global
symmetries is added. It is shown that the obtained solution is static and
supersymmetric. The title is changed correspondingly. Clarifications and
references added. Typos related to reality conditions fixe
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