메뉴 건너뛰기




Volumn 2011, Issue 2, 2011, Pages

Ground-state properties of a supersymmetric fermion chain

Author keywords

integrable spin chains (vertex models); Painlev equations; symmetries of integrable models

Indexed keywords


EID: 79952713881     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2011/02/P02014     Document Type: Article
Times cited : (17)

References (36)
  • 2
    • 0009322069 scopus 로고
    • Constraints on supersymmetry breaking
    • Witten E 1982 Constraints on supersymmetry breaking Nucl. Phys. B 202 253
    • (1982) Nucl. Phys. , vol.202 , Issue.2 , pp. 253
    • Witten, E.1
  • 3
    • 0038397524 scopus 로고    scopus 로고
    • Lattice models with N = 2 supersymmetry
    • Fendley P, Schoutens K and de Boer J 2003 Lattice models with N = 2 supersymmetry Phys. Rev. Lett. 90 120402 [arXiv:hep-th/0210161]
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.12 , pp. 120402
    • Fendley, P.1    Schoutens, K.2    De Boer, J.3
  • 4
    • 0346316902 scopus 로고    scopus 로고
    • Lattice fermion models with supersymmetry
    • Fendley P, Nienhuis B and Schoutens K 2003 Lattice fermion models with supersymmetry J. Phys. A: Math. Gen. 36 12399 [arXiv:cond-mat/0307338]
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.50 , pp. 12399
    • Fendley, P.1    Nienhuis, B.2    Schoutens, K.3
  • 5
    • 78649648882 scopus 로고    scopus 로고
    • Exact and simple results for the XYZ and strongly interacting fermion chains
    • Fendley P and Hagendorf C 2010 Exact and simple results for the XYZ and strongly interacting fermion chains J. Phys. A: Math. Theor. 43 402004
    • (2010) J. Phys. A: Math. Theor. , vol.43 , Issue.40 , pp. 402004
    • Fendley, P.1    Hagendorf, C.2
  • 7
    • 0035816521 scopus 로고    scopus 로고
    • Spin chains and combinatorics: Twisted boundary conditions
    • Razumov A V and Stroganov Y G 2001 Spin chains and combinatorics: twisted boundary conditions J. Phys. A: Math. Gen. 34 5335 [arXiv:cond-mat/0102247]
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.26 , pp. 5335
    • Razumov, A.V.1    Stroganov, Y.G.2
  • 9
    • 0035981749 scopus 로고    scopus 로고
    • The XXZ spin chain at Δ = - 1/2: Bethe roots, symmetric functions, and determinants
    • de Gier J, Batchelor M T, Nienhuis B and Mitra S 2002 The XXZ spin chain at Δ = - 1/2: Bethe roots, symmetric functions, and determinants J. Math. Phys. 43 4135 [arXiv:math-ph/0110011]
    • (2002) J. Math. Phys. , vol.43 , Issue.8 , pp. 4135
    • De Gier, J.1    Batchelor, M.T.2    Nienhuis, B.3    Mitra, S.4
  • 10
    • 3843106928 scopus 로고    scopus 로고
    • Combinatorial nature of ground state vector of O(1) loop model
    • Razumov A V and Stroganov Yu G 2004 Combinatorial nature of ground state vector of O(1) loop model Theor. Math. Phys. 138 333
    • (2004) Theor. Math. Phys. , vol.138 , Issue.3 , pp. 333
    • Razumov, A.V.1    Stroganov Yu, G.2
  • 11
    • 21244444770 scopus 로고    scopus 로고
    • Exact expressions for correlations in the ground state of the dense O(1) loop model
    • Mitra S, Nienhuis B, de Gier J and Batchelor M T 2004 Exact expressions for correlations in the ground state of the dense O(1) loop model J. Stat. Mech. P09010
    • (2004) J. Stat. Mech. , Issue.9 , pp. 09010
    • Mitra, S.1    Nienhuis, B.2    De Gier, J.3    Batchelor, M.T.4
  • 12
    • 55749101324 scopus 로고    scopus 로고
    • Exact conjectured expressions for correlations in the dense O(1) loop model on cylinder
    • Mitra S and Nienhuis B 2004 Exact conjectured expressions for correlations in the dense O(1) loop model on cylinder J. Stat. Mech. P10006
    • (2004) J. Stat. Mech. , Issue.10 , pp. 10006
    • Mitra, S.1    Nienhuis, B.2
  • 13
    • 13444306318 scopus 로고    scopus 로고
    • Around the Razumov-Stroganov conjecture: Proof of a multi-parameter sum rule
    • Di Francesco P and Zinn-Justin P 2005 Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule Electr. J. Comb. 12 R6 [arXiv:math-ph/0410061]
    • (2005) Electr. J. Comb. , vol.12 , pp. 6
    • Di Francesco, P.1    Zinn-Justin, P.2
  • 14
    • 37649033030 scopus 로고    scopus 로고
    • Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain
    • Di Francesco P, Zinn-Justin P and Zuber J-B 2006 Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain J. Stat. Mech. P08011 arXiv:math-ph/0603009
    • (2006) J. Stat. Mech. , Issue.8 , pp. 08011
    • Di Francesco, P.1    Zinn-Justin, P.2    Zuber, J.-B.3
  • 15
    • 38049066905 scopus 로고    scopus 로고
    • Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions and alternating sign matrices
    • Di Francesco P and Zinn-Justin P 2008 Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions and alternating sign matrices Theor. Math. Phys. 154 331
    • (2008) Theor. Math. Phys. , vol.154 , Issue.3 , pp. 331
    • Di Francesco, P.1    Zinn-Justin, P.2
  • 17
    • 35348898404 scopus 로고    scopus 로고
    • On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state
    • Kasatani M and Pasquier V 2007 On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state Commun. Math. Phys. 276 397
    • (2007) Commun. Math. Phys. , vol.276 , Issue.2 , pp. 397
    • Kasatani, M.1    Pasquier, V.2
  • 19
    • 4744348865 scopus 로고    scopus 로고
    • Non-local spacetime supersymmetry on the lattice
    • Yang X and Fendley P 2004 Non-local spacetime supersymmetry on the lattice J. Phys. A: Math. Gen. 37 8937 [arXiv:cond-mat/0404682]
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.38 , pp. 8937
    • Yang, X.1    Fendley, P.2
  • 20
    • 14544278909 scopus 로고    scopus 로고
    • Eight-vertex model and non-stationary Lamé equation
    • Bazhanov V V and Mangazeev V V 2005 Eight-vertex model and non-stationary Lamé equation J. Phys. A: Math. Gen. 38 L145
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.8 , pp. 145
    • Bazhanov, V.V.1    Mangazeev, V.V.2
  • 21
    • 33748801761 scopus 로고    scopus 로고
    • The eight-vertex model and Painlevé VI
    • Bazhanov V V and Mangazeev V V 2006 The eight-vertex model and Painlevé VI J. Phys. A: Math. Gen. 39 12235 [arXiv:hep-th/0602122]
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.39 , pp. 12235
    • Bazhanov, V.V.1    Mangazeev, V.V.2
  • 22
    • 76349123181 scopus 로고    scopus 로고
    • The eight-vertex model and Painlevé VI equation II: Eigenvector results
    • Mangazeev V V and Bazhanov V V 2010 The eight-vertex model and Painlevé VI equation II: eigenvector results J. Phys. A: Math. Theor. 43 085206 arXiv:0912.2163
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 085206
    • Mangazeev, V.V.1    Bazhanov, V.V.2
  • 23
    • 77956441667 scopus 로고    scopus 로고
    • A possible combinatorial point for the XYZ spin chain
    • Razumov A V and Stroganov Y G 2010 A possible combinatorial point for the XYZ spin chain Theor. Math. Phys. 164 977 arXiv:0911.5030
    • (2010) Theor. Math. Phys. , vol.164 , Issue.2 , pp. 977
    • Razumov, A.V.1    Stroganov, Y.G.2
  • 25
    • 67349216802 scopus 로고    scopus 로고
    • An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
    • Rosengren H 2009 An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices Adv. Appl. Math. 43 137
    • (2009) Adv. Appl. Math. , vol.43 , Issue.2 , pp. 137
    • Rosengren, H.1
  • 26
    • 79952726498 scopus 로고    scopus 로고
    • PhD Thesis
    • Huijse L 2010 A supersymmetric toy model for lattice fermions PhD Thesis Universiteit van Amsterdam
    • (2010)
    • Huijse, L.1
  • 27
    • 4243549269 scopus 로고
    • Scattering and thermodynamics of fractionally-charged supersymmetric solitions
    • Fendley P and Intriligator K 1992 Scattering and thermodynamics of fractionally-charged supersymmetric solitions Nucl. Phys. B 372 533
    • (1992) Nucl. Phys. , vol.372 , Issue.3 , pp. 533
    • Fendley, P.1    Intriligator, K.2
  • 28
    • 18044387807 scopus 로고    scopus 로고
    • Exact ground state and finite-size scaling in a supersymmetric lattice model
    • Beccaria M and de Angelis G F 2005 Exact ground state and finite-size scaling in a supersymmetric lattice model Phys. Rev. Lett. 94 100401 arXiv:cond-mat/0407752
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.10 , pp. 100401
    • Beccaria, M.1    De Angelis, G.F.2
  • 30
    • 27544473894 scopus 로고    scopus 로고
    • Magic in the spectra of the XXZ quantum chain with boundaries at Delta = 0 and Delta = - 1/2
    • de Gier J, Nichols A, Pyatov P and Rittenberg V 2005 Magic in the spectra of the XXZ quantum chain with boundaries at Delta = 0 and Delta = - 1/2 Nucl. Phys. B 729 387
    • (2005) Nucl. Phys. , vol.729 , Issue.3 , pp. 387
    • De Gier, J.1    Nichols, A.2    Pyatov, P.3    Rittenberg, V.4
  • 31
    • 0002672713 scopus 로고
    • Solving models in statistical mechanics
    • Baxter R J 1989 Solving models in statistical mechanics Adv. Stud. Pure Math. 19 95
    • (1989) Adv. Stud. Pure Math. , vol.19 , pp. 95
    • Baxter, R.J.1
  • 32
    • 34250120843 scopus 로고
    • Studies on the Painlevé equations. I: Sixth Painlevé equation PVI
    • Okamoto K 1987 Studies on the Painlevé equations. I: sixth Painlevé equation PVI Ann. Mat. Pura Appl. 146 337
    • (1987) Ann. Mat. Pura Appl. , vol.146 , Issue.1 , pp. 337
    • Okamoto, K.1
  • 35
    • 0036880530 scopus 로고    scopus 로고
    • Symmetry classes of alternating-sign matrices under one roof
    • Kuperberg G 2002 Symmetry classes of alternating-sign matrices under one roof Ann. Math. 156 835
    • (2002) Ann. Math. , vol.156 , Issue.3 , pp. 835
    • Kuperberg, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.