Topological Sectors and a Dichotomy in Conformal Field Theory

[1]  S. Carpi On the Representation Theory of Virasoro Nets , 2003, math/0306425.

[2]  R. Longo,et al.  Classification of Two-Dimensional Local Conformal Nets with c < 1 and 2-Cohomology Vanishing for Tensor Categories , 2003, math-ph/0304022.

[3]  R. Longo,et al.  Classification of local conformal nets. Case c < 1 , 2002, Annals of Mathematics.

[4]  Soeren Koester LOCAL NATURE OF COSET MODELS , 2003, math-ph/0303054.

[5]  Fengjun Xu Strong additivity and conformal nets , 2003, math/0303266.

[6]  S. Carpi The Virasoro Algebra and Sectors with Infinite Statistical Dimension , 2002, math/0203027.

[7]  R. Longo Conformal Subnets and Intermediate Subfactors , 2001, math/0102196.

[8]  C. Dong,et al.  Twisted Sectors for Tensor Product Vertex Operator Algebras Associated to Permutation Groups , 1998, math/9803118.

[9]  竹崎 正道 Theory of operator algebras , 2002 .

[10]  R. Longo Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects , 2001 .

[11]  William Arveson,et al.  A Short Course on Spectral Theory , 2001 .

[12]  Roberto Longo,et al.  Notes for a Quantum Index Theorem , 2000, math/0003082.

[13]  Yasuyuki Kawahigashi Multi-Interval Subfactors and Modularity¶of Representations in Conformal Field Theory , 1999, math/9903104.

[14]  F. Xu Algebraic orbifold conformal field theories. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[15]  David E. Evans,et al.  Modular Invariants from Subfactors:¶Type I Coupling Matrices and Intermediate Subfactors , 1999, math/9911239.

[16]  Fengjun Xu Algebraic coset conformal field theories II , 1999 .

[17]  David E. Evans,et al.  On α-Induction, Chiral Generators and¶Modular Invariants for Subfactors , 1999, math/9904109.

[18]  David E. Evans,et al.  Modular Invariants, Graphs and α-Induction¶for Nets of Subfactors. III , 1998, hep-th/9812110.

[19]  Michael Mueger On Soliton Automorphisms in Massive and Conformal Theories , 1998, hep-th/9803057.

[20]  B. Schroer,et al.  MODULAR THEORY AND GEOMETRY , 1998, math-ph/9809003.

[21]  David E. Evans,et al.  Modular Invariants, Graphs and α-Induction¶for Nets of Subfactors I , 1998, hep-th/9801171.

[22]  Fengjun Xu New Braided Endomorphisms from Conformal Inclusions , 1997, q-alg/9708011.

[23]  R. Longo,et al.  Extensions of Conformal Nets¶and Superselection Structures , 1997, hep-th/9703129.

[24]  C. Schweigert,et al.  Systematic Approach to Cyclic Orbifolds , 1997, hep-th/9701061.

[25]  David E. Evans,et al.  Quantum symmetries on operator algebras , 1998 .

[26]  Fengjun Xu Applications of braided endomorphisms from conformal inclusions , 1998 .

[27]  R. Conti,et al.  Covariant Sectors with Infinite Dimension¶and Positivity of the Energy , 1997, funct-an/9704007.

[28]  Fengjun Xu JONES-WASSERMANN SUBFACTORS FOR DISCONNECTED INTERVALS , 1997, q-alg/9704003.

[29]  R. Longo An Analogue of the Kac—Wakimoto Formula¶and Black Hole Conditional Entropy , 1996, gr-qc/9605073.

[30]  R. Longo,et al.  A theory of dimension , 1996, funct-an/9604008.

[31]  R. Longo,et al.  The conformal spin and statistics theorem , 1995, hep-th/9505059.

[32]  K.-H.Rehren,et al.  Nets of Subfactors , 1994, hep-th/9411077.

[33]  K. Rehren A new view of the virasoro algebra , 1993, hep-th/9308144.

[34]  Roberto Longo,et al.  A duality for Hopf algebras and for subfactors. I , 1994 .

[35]  R. Longo,et al.  Modular structure and duality in conformal quantum field theory , 1993, funct-an/9302008.

[36]  R. Longo Minimal index and Braided Subfactors , 1992 .

[37]  R. Longo,et al.  Relativistic invariance and charge conjugation in quantum field theory , 1992 .

[38]  H. Kosaki,et al.  A remark on the minimal index of subfactors , 1992 .

[39]  R. Haag,et al.  Local quantum physics , 1992 .

[40]  H. Schulz-Mirbach,et al.  HAAG DUALITY IN CONFORMAL QUANTUM FIELD THEORY , 1990 .

[41]  Roberto Longo,et al.  Index of subfactors and statistics of quantum fields. I , 1989 .

[42]  D. Buchholz,et al.  The Current Algebra on the Circle as a Germ of Local Field Theories , 1988 .

[43]  A. Carey,et al.  On fermion gauge groups, current algebras and Kac-Moody algebras , 1987 .

[44]  R. Longo Simple injective subfactors , 1987 .

[45]  E. Witten,et al.  String Theory on Group Manifolds , 1986 .

[46]  S. Popa,et al.  Entropy and index for subfactors , 1986 .

[47]  Roberto Longo,et al.  Standard and split inclusions of von Neumann algebras , 1984 .

[48]  S. Doplicher,et al.  Local normality properties of some infrared representations , 1983 .

[49]  V. Jones Index for subfactors , 1983 .

[50]  Detlev Buchholz,et al.  Locality and the structure of particle states , 1982 .

[51]  M. Takesaki,et al.  Analyticity and the Unruh effect: a study of local modular flow , 2024, Journal of High Energy Physics.

[52]  J. Roberts Local cohomology and superselection structure , 1976 .

[53]  A. Connes Une classification des facteurs de type ${\rm III}$ , 1973 .

[54]  A. Connes Une classi cation des facteurs de type III , 1973 .

[55]  Rudolf Haag,et al.  Local observables and particle statistics II , 1971 .

[56]  John E. Roberts,et al.  Local observables and particle statistics I , 1971 .

[57]  R. T. Seeley,et al.  Extension of ^{∞} functions defined in a half space , 1964 .

[58]  K. Rehren Braid Group Statistics and their Superselection Rules , 2022 .