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The supersymmetric t-J model with quantum group invariance

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Abstract

An integrable quantum group deformation of the supersymmetric t-J model is introduced. Open boundary conditions lead to an spl{sub q}(2, 1) invariant hamiltonian. A general procedure to obtain such invariant models is proposed. To solve the model a generalized nested algebraic Bethe ansatz is constructed and the Bethe ansatz equations are obtained. The quantum supergroup structure of the model is investigated. (orig.)
Authors:
Foerster, A; [1]  Karowski, M [1] 
  1. Freie Univ. Berlin (Germany). Inst. fuer Theoretische Physik
Publication Date:
Apr 01, 1993
Product Type:
Technical Report
Report Number:
SFB-288-62(prepr.)
Reference Number:
SCA: 662120; PA: DEN-94:0F4051; EDB-94:058893; NTS-94:020492; SN: 94001179990
Resource Relation:
Other Information: PBD: Apr 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SUPERSYMMETRY; CRYSTAL MODELS; ALGEBRA; BOUNDARY CONDITIONS; DEFORMATION; GRADED LIE GROUPS; HAMILTONIANS; QUANTUM MECHANICS; SP GROUPS; EQUATIONS; CREATION OPERATORS; ANNIHILATION OPERATORS; ANISOTROPY; TRANSFER MATRIX METHOD; ONE-DIMENSIONAL CALCULATIONS; MARKOV PROCESS; MATRICES; EIGENVALUES; EIGENVECTORS; GROUP THEORY; INVARIANCE PRINCIPLES; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10139978
Research Organizations:
Technische Univ. Berlin (Germany). Sonderforschungsbereich 288 - Differentialgeometrie und Quantenphysik
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE94756437; TRN: DE94F4051
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
26 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Foerster, A, and Karowski, M. The supersymmetric t-J model with quantum group invariance. Germany: N. p., 1993. Web.
Foerster, A, & Karowski, M. The supersymmetric t-J model with quantum group invariance. Germany.
Foerster, A, and Karowski, M. 1993. "The supersymmetric t-J model with quantum group invariance." Germany.
@misc{etde_10139978,
title = {The supersymmetric t-J model with quantum group invariance}
 author = {Foerster, A, and Karowski, M}
 abstractNote = {An integrable quantum group deformation of the supersymmetric t-J model is introduced. Open boundary conditions lead to an spl{sub q}(2, 1) invariant hamiltonian. A general procedure to obtain such invariant models is proposed. To solve the model a generalized nested algebraic Bethe ansatz is constructed and the Bethe ansatz equations are obtained. The quantum supergroup structure of the model is investigated. (orig.)}
 place = {Germany}
 year = {1993}
 month = {Apr}
 }