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Title: Supersymmetric vertex models with domain wall boundary conditions

Abstract

By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the gl(1 vertical bar 1) and gl(2 vertical bar 1) supersymmetric vertex models with domain wall boundary conditions. In the homogeneous limit, these determinants degenerate to simple functions.

Authors:
;  [1];  [2]
  1. Department of Mathematics, University of Queensland, Brisbane, QLD 4072 (Australia)
  2. (Australia) and Physikalisches Institut, Universitaet Bonn, D-53115 Bonn (Germany)
Publication Date:
OSTI Identifier:
20929641
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 2; Other Information: DOI: 10.1063/1.2436986; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; DOMAIN STRUCTURE; LIE GROUPS; PARTITION FUNCTIONS; SUPERSYMMETRY

Citation Formats

Zhao Shaoyou, Zhang Yaozhong, and Department of Mathematics, University of Queensland, Brisbane, QLD 4072. Supersymmetric vertex models with domain wall boundary conditions. United States: N. p., 2007. Web. doi:10.1063/1.2436986.
Zhao Shaoyou, Zhang Yaozhong, & Department of Mathematics, University of Queensland, Brisbane, QLD 4072. Supersymmetric vertex models with domain wall boundary conditions. United States. doi:10.1063/1.2436986.
Zhao Shaoyou, Zhang Yaozhong, and Department of Mathematics, University of Queensland, Brisbane, QLD 4072. Thu . "Supersymmetric vertex models with domain wall boundary conditions". United States. doi:10.1063/1.2436986.
@article{osti_20929641,
title = {Supersymmetric vertex models with domain wall boundary conditions},
author = {Zhao Shaoyou and Zhang Yaozhong and Department of Mathematics, University of Queensland, Brisbane, QLD 4072},
abstractNote = {By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the gl(1 vertical bar 1) and gl(2 vertical bar 1) supersymmetric vertex models with domain wall boundary conditions. In the homogeneous limit, these determinants degenerate to simple functions.},
doi = {10.1063/1.2436986},
journal = {Journal of Mathematical Physics},
number = 2,
volume = 48,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • A family of degenerate domain wall configurations, partially preserving supersymmetry, is discussed in a generalized Wess-Zumino model with two scalar superfields. We establish some general features inherent to the models with continuously degenerate domain walls. For instance, for purely real trajectories additional {open_quotes}integrals of motion{close_quotes} exist. The solution for the profile of the scalar fields for any wall belonging to the family is found in quadratures for an arbitrary ratio of the coupling constants. For a special value of this ratio the solution family is obtained explicitly in terms of elementary functions. We also discuss the threshold amplitudes for multiparticlemore » production generated by these solutions. Unexpected nullifications of the threshold amplitudes are found. {copyright} {ital 1998} {ital The American Physical Society}« less
  • We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral limits without any fine-tuning of operators. Dynamical simulations were performed for the gauge group SU(2) on 8{sup 3}x8 and 16{sup 3}x32 lattice space-time volumes and at three different values of the coupling: {beta}=2.3, 2.353, and 2.4. Results from this study include measurements of the static potential, residual mass, and a chirally extrapolated value for the gluino condensate at {beta}=2.3. In addition to these, we studymore » the low-lying eigenvalues and eigenvectors of the five-dimensional Hermitian domain-wall fermion Dirac operator and present evidence that, for the choice of parameters under investigation, features of the spectrum appear qualitatively consistent with strong coupling and the presence of a large residual mass. From the five-dimensional eigenvalues we explore the possibility of using the Banks-Casher relation to determine an independent value for the gluino condensate in the chiral limit.« less
  • Electric field-induced changes in the domain wall motion of (1-x)Bi(Mg 0.5Ti 0.5)O 3–xPbTiO 3 (BMT-xPT) near the morphotropic phase boundary (MPB) where x = 0.37 (BMT-37PT) and x =0.38 (BMT-38PT), are studied by means of synchrotron x-ray diffraction. Through Rietveld analysis and profile fitting, a mixture of coexisting monoclinic (Cm) and tetragonal (P4mm) phases is identified at room temperature. Extrinsic contributions to the property coefficients are evident from electric-field-induced domain wall motion in both the tetragonal and monoclinic phases, as well as through the interphase boundary motion between the two phases. Domain wall motion in the tetragonal and monoclinic phasesmore » for BMT-37PT is larger than that of BMT-38PT, possibly due to this composition's closer proximity to the MPB. Increased interphase boundary motion was also observed in BMT-37PT. Lattice strain, which is a function of both intrinsic piezoelectric strain and elastic interactions of the grains (the latter originating from domain wall and interphase boundary motion), is similar for the respective tetragonal and monoclinic phases.« less
  • Electric field-induced changes in the domain wall motion of (1−x)Bi(Mg{sub 0.5}Ti{sub 0.5})O{sub 3}–xPbTiO{sub 3} (BMT-xPT) near the morphotropic phase boundary (MPB) where x = 0.37 (BMT-37PT) and x = 0.38 (BMT-38PT), are studied by means of synchrotron x-ray diffraction. Through Rietveld analysis and profile fitting, a mixture of coexisting monoclinic (Cm) and tetragonal (P4mm) phases is identified at room temperature. Extrinsic contributions to the property coefficients are evident from electric-field-induced domain wall motion in both the tetragonal and monoclinic phases, as well as through the interphase boundary motion between the two phases. Domain wall motion in the tetragonal and monoclinic phases for BMT-37PT ismore » larger than that of BMT-38PT, possibly due to this composition's closer proximity to the MPB. Increased interphase boundary motion was also observed in BMT-37PT. Lattice strain, which is a function of both intrinsic piezoelectric strain and elastic interactions of the grains (the latter originating from domain wall and interphase boundary motion), is similar for the respective tetragonal and monoclinic phases.« less
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