4,727 research outputs found
Laplacian growth in the half plane
We investigate a version of the Laplacian growth problem with zero surface
tension in the half plane and find families of self-similar exact solutions.Comment: 17 pages, 6 figure
Higher-spin current multiplets in operator-product expansions
Various formulas for currents with arbitrary spin are worked out in general
space-time dimension, in the free field limit and, at the bare level, in
presence of interactions. As the n-dimensional generalization of the
(conformal) vector field, the (n/2-1)-form is used. The two-point functions and
the higher-spin central charges are evaluated at one loop. As an application,
the higher-spin hierarchies generated by the stress-tensor operator-product
expansion are computed in supersymmetric theories. The results exhibit an
interesting universality.Comment: 19 pages. Introductory paragraph, misprint corrected and updated
references. CQG in pres
String Amplitudes and Frame-like Formalism for Higher Spins
We analyze open string vertex operators describing connection gauge fields
for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST
analysis. Gauge symmetry transformations, generalized zero torsion constraints
relating extra fields to the dynamical frame-like field and relation between
dynamical frame-like field and fully symmetric Fronsdal's field for spin 3 are
all realized in terms of BRST constraints on these vertex operators in string
theory. Using the construction, we analyze the 3-point correlator for spin 3
field and calculate Chern-Simons type cubic interactions described by
3-derivative Berends-Burgers-van Dam (BBD) type vertex in the frame-like
formalism.Comment: 25 page
Higher Spin Conformal Currents in Minkowski Space
Using unfolded formulation of free equations for massless fields of all spins
we obtain explicit form of higher-spin conformal conserved charges bilinear in
4d massless fields of arbitrary spins.Comment: LaTeX, 10 pages. Corrected typo
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
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
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