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Conformal Quantum Field Theory and Subfactors 被引量：3

Conformal Quantum Field Theory and Subfactors
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摘要 We survey a recent progress on algebraic quantum field theory in connection with subfactor theory. We mainly concentrate on one-dimensional conformal quantum field theory. We survey a recent progress on algebraic quantum field theory in connection with subfactor theory. We mainly concentrate on one-dimensional conformal quantum field theory.
作者 YasuyukiKAWAHIGASHI
机构地区 DepartmentofMathematicalSciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第3期557-566,共10页 数学学报（英文版）
关键词 Algebraic quantum field theory Modular invariant SUBFACTOR Tensor category Virasoro algebra Algebraic quantum field theory Modular invariant subfactor Tensor category Virasoro algebra
分类号 O153.4 [理学—基础数学]
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参考文献57

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  • 2Rehren, K. H.: Canonical tensor product subfactors. Commun. Math. Phys., 211, 395-406 (2000).
  • 3Fredenhagen, K., Rehren, K. H., Schroer, B.: Superselection sectors with braid group statistics and exchange algebras Ⅱ. Rev. Math. Phys., Special issue, 113-157(1992).
  • 4Haag, R.: "Local Quantum Physics", Springer-Verlag, Berlin-Heidelberg-New York, (1996).
  • 5Brunetti, R., Guido, D., Longo, R.: Modular structure and duality in conformal quantum field theory.Commun. Math. Phys., 156 201-219, (1993).
  • 6Buchholz, D., Schulz-Mirbach, H.: Haag duality in conformal quantum field theory. Rev. Math. Phys., 2,105-125 (1990).
  • 7Proehlich, J., Gabbiani, F.: Operator algebras and conformal field theory. Commun. Math. Phys., 155,569-640 (1993).
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  • 10Kawahigashi, Y., Longo, R., Müger, M.: Multi-interval subfactors and modularity of representations in conformal field theory. Commun. Math. Phys., 219,631-669 (2001).

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Acta Mathematica Sinica,English Series
2003年 第3期

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