The authors propose a weakly coupled dual field theory for the 1D long-range Ising CFT near s = 1, derive an exact spectrum at s = 1, and find matching perturbative CFT data from RG and bootstrap calculations.
Exact perturbative solution of the Kondo problem
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abstract
We explicitly evaluate the infinite series of integrals that appears in the "Anderson-Yuval" reformulation of the anisotropic Kondo problem in terms of a one-dimensional Coulomb gas. We do this by developing a general approach relating the anisotropic Kondo problem of arbitrary spin with the boundary sine-Gordon model, which describes impurity tunneling in a Luttinger liquid and in the fractional quantum Hall effect. The Kondo solution then follows from the exact perturbative solution of the latter model in terms of Jack polynomials.
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1d Ising model with $1/r^{1.99}$ interaction
The authors propose a weakly coupled dual field theory for the 1D long-range Ising CFT near s = 1, derive an exact spectrum at s = 1, and find matching perturbative CFT data from RG and bootstrap calculations.