caa a22 4500 467911568 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s11232-006-0071-z doi (NATIONALLICENCE)springer-10.1007/s11232-006-0071-z Zeitlin A. St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia aut Quantization of the N =2 supersymmetriC KdV hierarchy [Elektronische Daten] [A. Zeitlin] We continue the study of the quantization of supersymmetric integrable KdV hierarchies. We consider the N=2 KdV model based on the sl(1)(2|1) affine algebra but with a new algebraic construction for the L-operator, different from the standard Drinfeld-Sokolov reduction. We construct the quantum monodromy matrix satisfying a special version of the reflection equation and show that in the classical limit, this object precisely gives the monodromy matrix of the N=2 supersymmetric KdV system. We also show that at both the classical and the quantum levels, the trace of the monodromy matrix (transfer matrix) is invariant under two supersymmetry transformations and the zero mode of the associated U(1) current. Springer Science+Business Media, Inc., 2006 superconformal field theory nationallicence quantum superalgebras nationallicence supersymmetric KdV equation nationallicence supersymmetric integrable systems nationallicence quantization nationallicence Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/2(2006-05-01), 698-708 0040-5779 147:2<698 2006 147 11232 https://doi.org/10.1007/s11232-006-0071-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0071-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zeitlin A. St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 147/2(2006-05-01), 698-708 0040-5779 147:2<698 2006 147 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer