5,924 research outputs found
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
Towards higher spin holography in ambient space of any dimension
We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space, where AdS is represented as a hyperboloid and its conformal boundary as a projective light-cone, simplifies the approach and makes a direct contact between boundary-to-bulk propagators and two-point functions of conserved currents
Some results on the invertibility of Toeplitz plus Hankel operators
The paper deals with the invertibility of Toeplitz plus Hankel operators
T(a)+H(b) acting on classical Hardy spaces on the unit circle T. It is supposed
that the generating functions a and b satisfy the condition
a(t)a(1/t)=b(t)b(1/t). Special attention is paid to the case of piecewise
continuous generating functions. In some cases the dimensions of null spaces of
the operator and its adjoint are described
Test of the local form of higher-spin equations via AdS/CFT
The local form of higher-spin equations found recently to the second order
[1] is shown to properly reproduce the anticipated correlators for
appropriate boundary conditions. It is argued that consistent
holography for the parity-broken boundary models needs a nontrivial
modification of the bosonic truncation of the original higher-spin theory with
the doubled number of fields, as well as a nonlinear deformation of the
boundary conditions in the higher orders.Comment: 18 pages, Typos and acknowledgement corrected. Misleading notation in
Section 4.2 changed. References correcte
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