19 citations · 42 across the 6 of their papers we have counts for
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Twists of quantum groups and noncommutative field theory
P. P. Kulish
The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown tha…
Quantization of N=1 and N=2 SUSY KdV models
Petr P. Kulish, Anton M. Zeitlin
The quantization procedure for both N=1 and N=2 supersymmetric Korteweg-de Vries (SUSY KdV) hierarchies is constructed. Namely, the quantum counterparts of the monodromy matrices,…
Quantum Supersymmetric Toda-mKdV Hierarchies
Petr P. Kulish, Anton M. Zeitlin
In this paper we generalize the quantization procedure of Toda-mKdV hierarchies to the case of arbitrary affine (super)algebras. The quantum analogue of the monodromy matrix, relat…
On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
M. Chaichian, P. Kulish, K. Nishijima +1
By invoking the concept of twisted Poincar\' e symmetry of the algebra of functions on a Minkowski space-time, we demonstrate that the noncommutative space-time with the commutatio…
Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equation
Petr P. Kulish, Anton M. Zeitlin
The supersymmetry invariant integrable structure of two-dimensional superconformal field theory is considered. The classical limit of the corresponding infinite family of integrals…
Integrable Structure of Superconformal Field Theory and Quantum super-KdV Theory
Petr P. Kulish, Anton M. Zeitlin
The integrable structure of the two dimensional superconformal field theory is considered. The classical counterpart of our constructions is based on the super-KdV…