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New supersymmetrizations of the generalized KDV hierarchies

Technical Report:

Abstract

Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, expect for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy. (orig.)
Publication Date:
Mar 01, 1993
Product Type:
Technical Report
Report Number:
BONN-HE-93-10; HEP-TH-9303168
Reference Number:
SCA: 662120; PA: DEN-94:0F0663; EDB-94:027362; ERA-19:007571; NTS-94:015125; SN: 94001136110
Resource Relation:
Other Information: PBD: Mar 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSYMMETRY; KORTEWEG-DE VRIES EQUATION; HAMILTONIAN FUNCTION; LOCALITY; LAX THEOREM; RECURSION RELATIONS; MATHEMATICAL OPERATORS; CONSERVATION LAWS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10119790
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE94734004; TRN: DE94F0663
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
12 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Figueroa-O`Farrill, J M, and Stanciu, S. New supersymmetrizations of the generalized KDV hierarchies. Germany: N. p., 1993. Web.
Figueroa-O`Farrill, J M, & Stanciu, S. New supersymmetrizations of the generalized KDV hierarchies. Germany.
Figueroa-O`Farrill, J M, and Stanciu, S. 1993. "New supersymmetrizations of the generalized KDV hierarchies." Germany.
@misc{etde_10119790,
title = {New supersymmetrizations of the generalized KDV hierarchies}
author = {Figueroa-O`Farrill, J M, and Stanciu, S}
abstractNote = {Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, expect for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bihamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy. (orig.)}
place = {Germany}
year = {1993}
month = {Mar}
}