66 research outputs found
Calogero-Sutherland Approach to Defect Blocks
Extended objects such as line or surface operators, interfaces or boundaries
play an important role in conformal field theory. Here we propose a systematic
approach to the relevant conformal blocks which are argued to coincide with the
wave functions of an integrable multi-particle Calogero-Sutherland problem.
This generalizes a recent observation in 1602.01858 and makes extensive
mathematical results from the modern theory of multi-variable hypergeometric
functions available for studies of conformal defects. Applications range from
several new relations with scalar four-point blocks to a Euclidean inversion
formula for defect correlators.Comment: v2: changes for clarit
N = 1 dualities in 2+1 dimensions
We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons
and superpotential interactions. We propose an infrared duality involving gauge-singlet fields on one of the two sides. It shares
qualitative features both with 3d bosonization and with 4d Seiberg duality. We
provide a few consistency checks of the proposal, mapping the structure of
vacua and performing perturbative computations in the -expansion
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