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A Mathematica Package for Computing N=2 Superfield Operator Product Expansions
Sergey Krivonos, Kris Thielemans
We describe a general purpose Mathematica package for computing Superfield Operator Product Expansions in meromorphic superconformal field theory. Given the SOPEs for a set o…
Conformal Linearization Versus Nonlinearity of -Algebras
S. Krivonos, A. Sorin
We review the new approach to the theory of nonlinear -algebras which is developed recently and called {\it conformal linearization}. In this approach -algebras are embedded…
N=4 super KdV hierarchy in N=4 and N=2 superspaces
F. Delduc, E. Ivanov, S. Krivonos
We present the results of further analysis of the integrability properties of the supersymmetric KdV equation deduced earlier by two of us (F.D. \& E.I.) as a hamiltonian flo…
Null Fields Realizations of from and Algebras
S. Bellucci, S. Krivonos, A. Sorin
We consider the nonlinear algebras and and find their realizations in terms of currents spanning conformal linearizing algebras. The specific st…
On the Super-NLS Equation and its Relation with N=2 Super-KdV within Coset Approach
S. Krivonos, A. Sorin, F. Toppan
A manifestly supersymmetric coset formalism is introduced to describe integrable hierarchies. It is applied to analyze the super-NLS equation. It possesses an symmetry…
THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION
S. Krivonos, A. Sorin
We show that the well known NLS equation possesses supersymmetry and thus it is actually the NLS equation. This supersymmetry is hidden in terms of the commonly u…