122 research outputs found
HKLL bulk reconstruction for small ∆
We discuss the extension of the HKLL (Hamilton, Kabat, Lifschytz, and Lowe) bulk reconstruction for non-interacting scalar fields corresponding to conformal weights ∆ smaller than the original condition ∆ > d − 1. We give explicit formulas for the cases d − 2 < ∆ ≤ d − 1 and ∆ = d − s with integer s. In the latter case we show that smearing CFT fields over a region of the boundary consisting of points light-like separated from the bulk point is sufficient for bulk reconstruction, whereas in general smearing over all light-like and space-like separated points is required
A two-dimensional integrable axionic sigma-model and T-duality
An -matrix is proposed for the two dimensional O(3) -model with a
dynamical -term (axion model). Exploiting an Abelian T-duality
transformation connecting the axion model to an integrable SU(2)U(1)
symmetric principal -model, strong evidence is presented for the
correctness of the proposed -matrix by comparing the perturbatively
calculated free energies with the ones based on the Thermodynamical Bethe
Ansatz. This T-duality transformation also leads to a new Lax-pair for both
models. The quantum non-integrability of the O(3) -model with a {\sl
constant} -term, in contradistinction to the axion model, is
illustrated by calculating the particle production amplitude to lowest
order in .Comment: 11 pages, LaTe
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