22 research outputs found
Probing higher spin black holes from CFT
In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point
functions of certain scalar primary operators in the presence of nonzero
chemical potential for higher spin charge. These are shown to agree with the
same quantity calculated holographically using scalar fields propagating in a
charged black hole background of 3D higher spin gravity. This match serves as
further evidence for the duality between W_N minimal models at large central
charge and 3D higher spin gravity. It also supports a recent prescription for
computing boundary correlators of multi-trace scalar primary operators in
higher spin theories.Comment: 34 pages, 1 figur
Higher Spin Fronsdal Equations from the Exact Renormalization Group
We show that truncating the exact renormalization group equations of free
vector models in the single-trace sector to the linearized level
reproduces the Fronsdal equations on for all higher spin fields,
with the correct boundary conditions. More precisely, we establish canonical
equivalence between the linearized RG equations and the familiar local, second
order differential equations on , namely the higher spin Fronsdal
equations. This result is natural because the second-order bulk equations of
motion on simply report the value of the quadratic Casimir of the
corresponding conformal modules in the CFT. We thus see that the bulk
Hamiltonian dynamics given by the boundary exact RG is in a different but
equivalent canonical frame than that which is most natural from the bulk point
of view.Comment: 34 pages, 4 figures; v2: typos fixed, better abstrac
AdS_4/CFT_3 Construction from Collective Fields
We pursue the construction of higher-spin theory in AdS_4 from CFT_3 of the
O(N) vector model in terms of canonical collective fields. In null plane
quantization an exact map is established between the two spaces. The
coordinates of the AdS_4 space-time are generated from the collective
coordinates of the bi-local field. This, in the light cone gauge, provides an
exact one to one reconstruction of bulk AdS_4 space-time and higher-spin
fields.Comment: 17 pages, no figures; v2: references added; v3: minor change
Solitons and AdS String Solutions
In this contribution we describe some soliton based techniques for generating
classical AdS string solutions. The methods introduced are useful for further
understanding of rotating AdS configurations with spikes which correspond to
higher twist operators in SYM theory. The main identification (accomplished in
arXiv:0712.1193) between solitons and string spikes is reviewed and extended.
We describe how inverse scattering technique can be applied for reconstructing
AdS string configurations from soliton solutions of sinh-Gordon theory (in the
example of ).Comment: 10 pages, 3 figures, contribution to Proceedings of Osaka workshop,
OCU, December 200
Moduli Dynamics of AdS_3 Strings
We construct a general class of solutions for a classical string in AdS_3
spacetime. The construction is based on a Pohlmeyer type reduction, with the
sinh-Gordon model providing the general N-soliton solutions. The corresponding
exact spiky string configurations are then reconstructed through the inverse
scattering method. It is shown that the string moduli are determined entirely
by those of the solitons.Comment: 22 pages, no figures; references adde