4,190 research outputs found
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
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
Maxwell symmetries and some applications
The Maxwell algebra is the result of enlarging the Poincar\'{e} algebra by
six additional tensorial Abelian generators that make the fourmomenta
non-commutative. We present a local gauge theory based on the Maxwell algebra
with vierbein, spin connection and six additional geometric Abelian gauge
fields. We apply this geometric framework to the construction of Maxwell
gravity, which is described by the Einstein action plus a generalized
cosmological term. We mention a Friedman-Robertson-Walker cosmological
approximation to the Maxwell gravity field equations, with two scalar fields
obtained from the additional gauge fields. Finally, we outline further
developments of the Maxwell symmetries framework.Comment: 8pages. Presented at the XV-th International Conf. on 'Symmetry
Methods in Physics' (Dubna, July 2011) and at the '3rd Galileo-Xu Guangqi
meeting' (Beijing, October 2011), to appear in IJMP
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