You need JavaScript to view this

Zero curvature condition of OSp(2/2) and the associated supergravity theory

Technical Report:

Abstract

The N = 2 fermionic extensions of the KdV equations are derived from the zero curvature condition associated with the graded Lie algebra of OSp(2/2). These equations lead to two bi-Hamiltonian systems one of which is supersymmetric. We also derive the one-parameter family of N = 2 supersymmetric KdV equation without a bi-Hamiltonian structure in this approach. Following our earlier proposal, we interpret the zero curvature condition as a gauge anomaly equation which brings our the underlying current algebra for the corresponding 2D-supergravity theory. This current algebra is, then, used to obtain the operator product expansions of various fields of this theory. (author). 34 refs.
Authors:
Das, A; [1]  Wenjui, Huang; Roy, S [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Rochester Univ., NY (USA). Dept. of Physics and Astronomy
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/125; UR-1215; ER-13065-667.
Reference Number:
SCA: 661100; PA: AIX-22:081603; SN: 91000608780
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SUPERGRAVITY; GRADED LIE GROUPS; GAUGE INVARIANCE; HAMILTONIANS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10105580
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609091; CNN: Contract DE-AC02-76ER13065; TRN: XA9129647081603
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Das, A, Wenjui, Huang, and Roy, S. Zero curvature condition of OSp(2/2) and the associated supergravity theory. IAEA: N. p., 1991. Web.
Das, A, Wenjui, Huang, & Roy, S. Zero curvature condition of OSp(2/2) and the associated supergravity theory. IAEA.
Das, A, Wenjui, Huang, and Roy, S. 1991. "Zero curvature condition of OSp(2/2) and the associated supergravity theory." IAEA.
@misc{etde_10105580,
title = {Zero curvature condition of OSp(2/2) and the associated supergravity theory}
author = {Das, A, Wenjui, Huang, and Roy, S}
abstractNote = {The N = 2 fermionic extensions of the KdV equations are derived from the zero curvature condition associated with the graded Lie algebra of OSp(2/2). These equations lead to two bi-Hamiltonian systems one of which is supersymmetric. We also derive the one-parameter family of N = 2 supersymmetric KdV equation without a bi-Hamiltonian structure in this approach. Following our earlier proposal, we interpret the zero curvature condition as a gauge anomaly equation which brings our the underlying current algebra for the corresponding 2D-supergravity theory. This current algebra is, then, used to obtain the operator product expansions of various fields of this theory. (author). 34 refs.}
place = {IAEA}
year = {1991}
month = {Jun}
}