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Volumn 270, Issue 2, 2007, Pages 373-443

Structure of the space of ground states in systems with non-amenable symmetries

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EID: 33846486868     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-0154-6     Document Type: Article
Times cited : (8)

References (63)
  • 1
    • 0002739380 scopus 로고
    • A geometric construction of the discrete series for semisimple Lie groups
    • Atiyah, M., Schmid, W.: A geometric construction of the discrete series for semisimple Lie groups. Invent. Math. 42, 1-62 (1977)
    • (1977) Invent. Math , vol.42 , pp. 1-62
    • Atiyah, M.1    Schmid, W.2
  • 2
    • 0039426944 scopus 로고
    • The unitary spectrum of real rank one groups
    • Baldoni-Silva, M.W., Barbasch, D.: The unitary spectrum of real rank one groups. Invent. Math. 72, 27 (1983)
    • (1983) Invent. Math , vol.72 , pp. 27
    • Baldoni-Silva, M.W.1    Barbasch, D.2
  • 4
    • 0000334777 scopus 로고
    • Amenable unitary representations of locally compact groups
    • Bekka, B.: Amenable unitary representations of locally compact groups. Invent. Math. 100, 383 (1990)
    • (1990) Invent. Math , vol.100 , pp. 383
    • Bekka, B.1
  • 7
    • 0000210690 scopus 로고
    • On the Landau levels on the hyperbolic plane
    • Comtet, A.: On the Landau levels on the hyperbolic plane. Ann. Phys. 173, 185 (1987)
    • (1987) Ann. Phys , vol.173 , pp. 185
    • Comtet, A.1
  • 8
    • 4244036009 scopus 로고
    • The quantum-mechanical supersymmetric O(3) and O(2,1) sigma-models
    • Davies, A., MacFarlane, A., van Holten, J.: The quantum-mechanical supersymmetric O(3) and O(2,1) sigma-models. Nucl. Phys. B 216, 493 (1983)
    • (1983) Nucl. Phys. B , vol.216 , pp. 493
    • Davies, A.1    MacFarlane, A.2    van Holten, J.3
  • 9
    • 33846559802 scopus 로고    scopus 로고
    • Dixmier, J.: C*-Algebras. Amsterdam, etc.: North Holland, 1977
    • Dixmier, J.: C*-Algebras. Amsterdam, etc.: North Holland, 1977
  • 10
    • 33846471112 scopus 로고
    • Sur les représentations de certains groupes orthogonaux
    • Dixmier, J.: Sur les représentations de certains groupes orthogonaux. Compt. Rend. 250, 3263 (1960)
    • (1960) Compt. Rend , vol.250 , pp. 3263
    • Dixmier, J.1
  • 11
    • 33846489622 scopus 로고    scopus 로고
    • Dobrev, V. Mack, G., Petkova, V., Petrova, S., Todorov, I.: Harmonic analysis on the n-dimensional Lorentz group and its applications to conformal quantum field theory. Lecture Notes in Physics, 63, Berlin, etc.: Springer, 1977
    • Dobrev, V. Mack, G., Petkova, V., Petrova, S., Todorov, I.: Harmonic analysis on the n-dimensional Lorentz group and its applications to conformal quantum field theory. Lecture Notes in Physics, Vol. 63, Berlin, etc.: Springer, 1977
  • 12
    • 21744458144 scopus 로고    scopus 로고
    • Duncan, A., Niedermaier, M., Seiler. E.: Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma-models. Nucl. Phys. B720, 235-288 (2005). (Erratum) Nucl. Phys. B758, 330-331 (2006)
    • Duncan, A., Niedermaier, M., Seiler. E.: Vacuum orbit and spontaneous symmetry breaking in hyperbolic sigma-models. Nucl. Phys. B720, 235-288 (2005). (Erratum) Nucl. Phys. B758, 330-331 (2006)
  • 13
    • 0020498290 scopus 로고
    • Supersymmetry and theory of disordered metals
    • Efetov, K.B.: Supersymmetry and theory of disordered metals. Adv. Phys. 32, 53 (1983)
    • (1983) Adv. Phys , vol.32 , pp. 53
    • Efetov, K.B.1
  • 16
    • 33846518256 scopus 로고
    • Absence of trivial subrepresentations from tensor products of unitary representations of pseudo-orthogonal groups
    • Fulling, S.: Absence of trivial subrepresentations from tensor products of unitary representations of pseudo-orthogonal groups. J. Math. Phys. 15, 1567 (1974)
    • (1974) J. Math. Phys , vol.15 , pp. 1567
    • Fulling, S.1
  • 18
    • 0000254018 scopus 로고
    • Type I C*-Algebras
    • Glimm, J.: Type I C*-Algebras. Ann. Math. 73, 572 (1961)
    • (1961) Ann. Math , vol.73 , pp. 572
    • Glimm, J.1
  • 21
    • 27444437950 scopus 로고
    • Fourier decompositions of certain representations
    • W. Boothby, G. Weiss eds, New York: Marcel Decker
    • Gross, K., Kunze, R.: Fourier decompositions of certain representations. In: Symmetric Spaces, W. Boothby, G. Weiss (eds), New York: Marcel Decker, 1972, pp. 119-139
    • (1972) Symmetric Spaces , pp. 119-139
    • Gross, K.1    Kunze, R.2
  • 22
    • 34250394531 scopus 로고
    • A proof of Blattner's conjecture
    • Hecht, H., Schmid, W.: A proof of Blattner's conjecture. Inv. Math. 31, 129 (1975)
    • (1975) Inv. Math , vol.31 , pp. 129
    • Hecht, H.1    Schmid, W.2
  • 25
    • 0000137169 scopus 로고
    • The Plancherel theorem for general real semi-simple Lie groups
    • Herb, R., Wolf, J.: The Plancherel theorem for general real semi-simple Lie groups. Compos. Math. 57, 271 (1986)
    • (1986) Compos. Math , vol.57 , pp. 271
    • Herb, R.1    Wolf, J.2
  • 26
    • 0011397626 scopus 로고
    • On irreducible representations of the Lorentz group of n-th order
    • Hirai, T.: On irreducible representations of the Lorentz group of n-th order. Proc. Japan Acad. 38, 258 (1962)
    • (1962) Proc. Japan Acad , vol.38 , pp. 258
    • Hirai, T.1
  • 27
    • 0009085075 scopus 로고
    • The Plancherel formula for the Lorentz group of n-th order
    • Hirai, T.: The Plancherel formula for the Lorentz group of n-th order. Proc. Japan Acad. 42, 323 (1965)
    • (1965) Proc. Japan Acad , vol.42 , pp. 323
    • Hirai, T.1
  • 29
    • 0003860217 scopus 로고
    • Reading, MA, etc, Addison-Wesley
    • Lang, S.: SL(2, ℝ). Reading, MA, etc.: Addison-Wesley, 1975
    • (1975) SL(2, ℝ)
    • Lang, S.1
  • 30
    • 0141995399 scopus 로고    scopus 로고
    • New York, etc, Wiley-Interscience
    • Lax, P.: Functional Analysis. New York, etc.: Wiley-Interscience, 2002
    • (2002) Functional Analysis
    • Lax, P.1
  • 31
    • 0042058379 scopus 로고
    • Renormalization group flow for general sigma-models
    • Lott, J.: Renormalization group flow for general sigma-models. Commun. Math. Phys. 107, 165 (1986)
    • (1986) Commun. Math. Phys , vol.107 , pp. 165
    • Lott, J.1
  • 36
    • 36849100206 scopus 로고    scopus 로고
    • Mukunda, N., Radhakrishnan, B.: Clebsch-Gordon problem and coefficients of the 3-dimensional Lorentz group in a continuous basis, I-IV. J. Math. Phys. 15, 1320, 1332, 1643, 1656 (1974)
    • Mukunda, N., Radhakrishnan, B.: Clebsch-Gordon problem and coefficients of the 3-dimensional Lorentz group in a continuous basis, I-IV. J. Math. Phys. 15, 1320, 1332, 1643, 1656 (1974)
  • 38
    • 29144464170 scopus 로고    scopus 로고
    • Nonamenability and spontaneous symmetry breaking - the hyperbolic spin chain
    • Niedermaier, M., Seiler, E.: Nonamenability and spontaneous symmetry breaking - the hyperbolic spin chain. Ann. Henri Poincaré 6, 1025-1090 (2005)
    • (2005) Ann. Henri Poincaré , vol.6 , pp. 1025-1090
    • Niedermaier, M.1    Seiler, E.2
  • 39
    • 33846479938 scopus 로고    scopus 로고
    • Generalized ground states as a limit of the iterated transfer operator
    • Unpublished notes
    • Niedermaier, M., Seiler, E.: Generalized ground states as a limit of the iterated transfer operator. Unpublished notes, 2005
    • (2005)
    • Niedermaier, M.1    Seiler, E.2
  • 41
    • 0001921364 scopus 로고
    • Dirac operator and discrete series
    • Parthasarathy, R.: Dirac operator and discrete series. Ann. Math. 96, 1-30 (1972)
    • (1972) Ann. Math , vol.96 , pp. 1-30
    • Parthasarathy, R.1
  • 42
    • 0004226607 scopus 로고
    • Providence, RI: Amer. Math. Soc
    • Paterson, A.: Amenability. Providence, RI: Amer. Math. Soc., 1988
    • (1988) Amenability
    • Paterson, A.1
  • 49
    • 11244283406 scopus 로고    scopus 로고
    • Spontaneous symmetry breaking of a hyperbolic sigma-model in three dimensions
    • Spencer, T., Zirnbauer, M.: Spontaneous symmetry breaking of a hyperbolic sigma-model in three dimensions. Commun. Math. Phys. 252, 167 (2004)
    • (2004) Commun. Math. Phys , vol.252 , pp. 167
    • Spencer, T.1    Zirnbauer, M.2
  • 50
    • 0001751659 scopus 로고
    • Harmonic analysis on hyperboloids
    • Strichartz, R.: Harmonic analysis on hyperboloids. J. Funct. Anal. 12, 341 (1973)
    • (1973) J. Funct. Anal , vol.12 , pp. 341
    • Strichartz, R.1
  • 59
  • 61
    • 33846479348 scopus 로고
    • Migdal-Kadanoff fixed point in the graded nonlinear sigma-model for disordered single particle systems without time reversal symmetry
    • Zirnbauer, M.: Migdal-Kadanoff fixed point in the graded nonlinear sigma-model for disordered single particle systems without time reversal symmetry. Phys. Rev. Lett. 60, 1450 (1988)
    • (1988) Phys. Rev. Lett , vol.60 , pp. 1450
    • Zirnbauer, M.1
  • 62
    • 0005144792 scopus 로고
    • Fourier analysis on a hyperbolic supermanifold with constant curvature
    • Zirnbauer, M.: Fourier analysis on a hyperbolic supermanifold with constant curvature. Commun. Math. Phys. 141, 503 (1991)
    • (1991) Commun. Math. Phys , vol.141 , pp. 503
    • Zirnbauer, M.1
  • 63
    • 0030515852 scopus 로고    scopus 로고
    • Riemannian symmetric spaces and their origin in random matrix theory
    • Zirnbauer, M.: Riemannian symmetric spaces and their origin in random matrix theory. J. Math. Phys. 37, 4986 (1996)
    • (1996) J. Math. Phys , vol.37 , pp. 4986
    • Zirnbauer, M.1


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