88 citations · 2k across the 119 of their papers we have counts for
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N=4 superconformal n-particle mechanics via superspace
Sergey Krivonos, Olaf Lechtenfeld, Kirill Polovnikov
We revisit the (untwisted) superfield approach to one-dimensional multi-particle systems with N=4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic en…
BRST charges for finite nonlinear algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie alg…
N=4 supersymmetric 3-particles Calogero model
S. Bellucci, S. Krivonos, A. Sutulin
We constructed the most general N=4 superconformal 3-particles systems with translation invariance. In the basis with decoupled center of mass the supercharges and Hamiltonian poss…
BRST operators for W algebras
A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky
The study of quantum Lie algebras motivates a use of non-canonical ghosts and anti-ghosts for non-linear algebras, like W-algebras. This leads, for the W_3 and W_3^(2) algebras, to…