메뉴 건너뛰기




Volumn 303, Issue 2, 2011, Pages 385-420

On the Extension of Stringlike Localised Sectors in 2+1 Dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79953049995     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-011-1200-6     Document Type: Article
Times cited : (4)

References (57)
  • 1
    • 0010810357 scopus 로고
    • Von Neumann algebras of local observables for free scalar field
    • Araki H.: von Neumann algebras of local observables for free scalar field. J. Math. Phys. 5, 1-13 (1964).
    • (1964) J. Math. Phys. , vol.5 , pp. 1-13
    • Araki, H.1
  • 2
    • 0004059103 scopus 로고    scopus 로고
    • Lectures on tensor categories and modular functors
    • Amer. Math. Soc., Providence, RI
    • Bakalov, B., Kirillov, A. Jr.: Lectures on tensor categories and modular functors. Volume 21 of University Lecture Series. Providence, RI: Amer. Math. Soc., 2001.
    • (2001) Volume 21 of University Lecture Series
    • Bakalov, B.1    Kirillov Jr., A.2
  • 3
    • 0040843697 scopus 로고    scopus 로고
    • Modular invariants, graphs and α-induction for nets of subfactors. I
    • Böckenhauer J., Evans D. E.: Modular invariants, graphs and α-induction for nets of subfactors. I. Commun. Math. Phys. 197(2), 361-386 (1998).
    • (1998) Commun. Math. Phys. , vol.197 , Issue.2 , pp. 361-386
    • Böckenhauer, J.1    Evans, D.E.2
  • 4
    • 0000133929 scopus 로고
    • A remark on a theorem of B. Misra
    • Borchers H.-J.: A remark on a theorem of B. Misra. Commun. Math. Phys. 4, 315-323 (1967).
    • (1967) Commun. Math. Phys. , vol.4 , pp. 315-323
    • Borchers, H.-J.1
  • 5
    • 0039608206 scopus 로고    scopus 로고
    • Catégories prémodulaires, modularisations et invariants des variétés de dimension 3
    • Bruguières A.: Catégories prémodulaires, modularisations et invariants des variétés de dimension 3. Math. Ann. 316(2), 215-236 (2000).
    • (2000) Math. Ann. , vol.316 , Issue.2 , pp. 215-236
    • Bruguières, A.1
  • 6
    • 0002906313 scopus 로고
    • The physical state space of quantum electrodynamics
    • Buchholz D.: The physical state space of quantum electrodynamics. Commun. Math. Phys. 85(1), 49-71 (1982).
    • (1982) Commun. Math. Phys. , vol.85 , Issue.1 , pp. 49-71
    • Buchholz, D.1
  • 7
    • 0141899923 scopus 로고
    • Locality and the structure of particle states
    • Buchholz D., Fredenhagen K.: Locality and the structure of particle states. Commun. Math. Phys. 84(1), 1-54 (1982).
    • (1982) Commun. Math. Phys. , vol.84 , Issue.1 , pp. 1-54
    • Buchholz, D.1    Fredenhagen, K.2
  • 8
    • 0034400588 scopus 로고    scopus 로고
    • The quest for understanding in relativistic quantum physics
    • Buchholz D., Haag R.: The quest for understanding in relativistic quantum physics. J. Math. Phys. 41(6), 3674-3697 (2000).
    • (2000) J. Math. Phys. , vol.41 , Issue.6 , pp. 3674-3697
    • Buchholz, D.1    Haag, R.2
  • 10
    • 79953055678 scopus 로고    scopus 로고
    • Technical properties of the quasi-local algebra
    • D'Antoni, C.: Technical properties of the quasi-local algebra. In: Kastler [29], pp. 248-258.
    • Kastler , Issue.29 , pp. 248-258
    • D'Antoni, C.1
  • 11
    • 0000275115 scopus 로고
    • Catégories tannakiennes
    • of Progr. Math., Boston, MA: Birkhäuser Boston
    • Deligne, P.: Catégories tannakiennes. In: The Grothendieck Festschrift, Vol. II, Volume 87 of Progr. Math., Boston, MA: Birkhäuser Boston, 1990, pp. 111-195.
    • (1990) The Grothendieck Festschrift , vol.87 II , pp. 111-195
    • Deligne, P.1
  • 12
  • 15
    • 0000431208 scopus 로고
    • Fields, statistics and non-abelian gauge groups
    • Doplicher S., Roberts J. E.: Fields, statistics and non-abelian gauge groups. Commun. Math. Phys. 28, 331-348 (1972).
    • (1972) Commun. Math. Phys. , vol.28 , pp. 331-348
    • Doplicher, S.1    Roberts, J.E.2
  • 16
    • 0002583127 scopus 로고
    • Endomorphisms of C*-algebras, cross products and duality for compact groups
    • Doplicher S., Roberts J. E.: Endomorphisms of C*-algebras, cross products and duality for compact groups. Ann. Math. (2) 130(1), 75-119 (1989).
    • (1989) Ann. Math. (2) , vol.130 , Issue.1 , pp. 75-119
    • Doplicher, S.1    Roberts, J.E.2
  • 17
    • 0000117786 scopus 로고
    • A new duality theory for compact groups
    • Doplicher S., Roberts J. E.: A new duality theory for compact groups. Invent. Math. 98(1), 157-218 (1989).
    • (1989) Invent. Math. , vol.98 , Issue.1 , pp. 157-218
    • Doplicher, S.1    Roberts, J.E.2
  • 18
    • 0002199189 scopus 로고
    • Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
    • Doplicher S., Roberts J. E.: Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics. Commun. Math. Phys. 131(1), 51-107 (1990).
    • (1990) Commun. Math. Phys. , vol.131 , Issue.1 , pp. 51-107
    • Doplicher, S.1    Roberts, J.E.2
  • 19
    • 0038317711 scopus 로고    scopus 로고
    • Generalizations of the theory of superselection sectors
    • Fredenhagen, K.: Generalizations of the theory of superselection sectors. In: Kastler [29], pp. 379-387.
    • Kastler , Issue.29 , pp. 379-387
    • Fredenhagen, K.1
  • 20
    • 0000440057 scopus 로고
    • Superselection sectors with braid group statistics and exchange algebras. I. General theory
    • Fredenhagen K., Rehren K.-H., Schroer B.: Superselection sectors with braid group statistics and exchange algebras. I. General theory. Commun. Math. Phys. 125(2), 201-226 (1989).
    • (1989) Commun. Math. Phys. , vol.125 , Issue.2 , pp. 201-226
    • Fredenhagen, K.1    Rehren, K.-H.2    Schroer, B.3
  • 21
    • 0001269908 scopus 로고
    • Superselection sectors with braid group statistics and exchange algebras. II. Geometric aspects and conformal covariance
    • Fredenhagen K., Rehren K.-H., Schroer B.: Superselection sectors with braid group statistics and exchange algebras. II. Geometric aspects and conformal covariance. Rev. Math. Phys. 4(Special Issue), 113-157 (1992).
    • (1992) Rev. Math. Phys. , vol.4 , Issue.SPEC. ISSUE , pp. 113-157
    • Fredenhagen, K.1    Rehren, K.-H.2    Schroer, B.3
  • 23
    • 0035998074 scopus 로고    scopus 로고
    • A modular functor which is universal for quantum computation
    • Freedman M. H., Larsen M., Wang Z.: A modular functor which is universal for quantum computation. Commun. Math. Phys. 227(3), 605-622 (2002).
    • (2002) Commun. Math. Phys. , vol.227 , Issue.3 , pp. 605-622
    • Freedman, M.H.1    Larsen, M.2    Wang, Z.3
  • 24
    • 0000253059 scopus 로고
    • Braid statistics in local quantum theory
    • Fröhlich J., Gabbiani F.: Braid statistics in local quantum theory. Rev. Math. Phys. 2(3), 251-353 (1990).
    • (1990) Rev. Math. Phys. , vol.2 , Issue.3 , pp. 251-353
    • Fröhlich, J.1    Gabbiani, F.2
  • 25
    • 0001747467 scopus 로고
    • Relativistic invariance and charge conjugation in quantum field theory
    • Guido D., Longo R.: Relativistic invariance and charge conjugation in quantum field theory. Commun. Math. Phys. 148(3), 521-551 (1992).
    • (1992) Commun. Math. Phys. , vol.148 , Issue.3 , pp. 521-551
    • Guido, D.1    Longo, R.2
  • 26
    • 0003967625 scopus 로고    scopus 로고
    • Local quantum physics: Fields, particles, algebras
    • Berlin: Springer-Verlag, Second edition
    • Haag, R.: Local quantum physics: Fields, particles, algebras. Texts and Monographs in Physics. Berlin: Springer-Verlag, Second edition, 1996.
    • (1996) Texts and Monographs in Physics
    • Haag, R.1
  • 27
    • 84882876758 scopus 로고    scopus 로고
    • Algebraic quantum field theory
    • In: Butterfield, J., Earman, J. (eds.), London: Elsevier
    • Halvorson, H.: Algebraic quantum field theory. In: Butterfield, J., Earman, J. (eds.) Philosophy of Physics, London: Elsevier, 2006, pp. 731-922.
    • (2006) Philosophy of Physics , pp. 731-922
    • Halvorson, H.1
  • 30
    • 0035373595 scopus 로고    scopus 로고
    • Multi-interval subfactors and modularity of representations in conformal field theory
    • Kawahigashi Y., Longo R., Müger M.: Multi-interval subfactors and modularity of representations in conformal field theory. Commun. Math. Phys. 219(3), 631-669 (2001).
    • (2001) Commun. Math. Phys. , vol.219 , Issue.3 , pp. 631-669
    • Kawahigashi, Y.1    Longo, R.2    Müger, M.3
  • 31
    • 0037268624 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation by anyons
    • Kitaev A.: Fault-tolerant quantum computation by anyons. Ann. Phys. 303(1), 2-30 (2003).
    • (2003) Ann. Phys. , vol.303 , Issue.1 , pp. 2-30
    • Kitaev, A.1
  • 32
    • 30444456387 scopus 로고    scopus 로고
    • Anyons in an exactly solved model and beyond
    • Kitaev A.: Anyons in an exactly solved model and beyond. Ann. Phys 321(1), 2-111 (2006).
    • (2006) Ann. Phys , vol.321 , Issue.1 , pp. 2-111
    • Kitaev, A.1
  • 33
    • 79953031496 scopus 로고    scopus 로고
    • PhD thesis, Universiteit van Amsterdam and Universiteit Utrecht
    • Kowalzig, N.: Hopf Algebroids and Their Cyclic Theory. PhD thesis, Universiteit van Amsterdam and Universiteit Utrecht, 2009.
    • (2009) Hopf Algebroids and Their Cyclic Theory
    • Kowalzig, N.1
  • 34
    • 0011499562 scopus 로고
    • Index of subfactors and statistics of quantum fields. I
    • Longo R.: Index of subfactors and statistics of quantum fields. I. Commun. Math. Phys. 126(2), 217-247 (1989).
    • (1989) Commun. Math. Phys. , vol.126 , Issue.2 , pp. 217-247
    • Longo, R.1
  • 35
    • 51249174399 scopus 로고
    • Index of subfactors and statistics of quantum fields. II. Correspondences, braid group statistics and Jones polynomial
    • Longo R.: Index of subfactors and statistics of quantum fields. II. Correspondences, braid group statistics and Jones polynomial. Commun. Math. Phys. 130(2), 285-309 (1990).
    • (1990) Commun. Math. Phys. , vol.130 , Issue.2 , pp. 285-309
    • Longo, R.1
  • 36
    • 0001164991 scopus 로고    scopus 로고
    • A theory of dimension
    • Longo R., Roberts J. E.: A theory of dimension. K-Theory 11(2), 103-159 (1997).
    • (1997) K-Theory , vol.11 , Issue.2 , pp. 103-159
    • Longo, R.1    Roberts, J.E.2
  • 37
    • 0003969139 scopus 로고    scopus 로고
    • Categories for the working mathematician
    • New York: Springer-Verlag, second edition
    • Mac Lane, S.: Categories for the working mathematician, Volume 5 of Graduate Texts in Mathematics. New York: Springer-Verlag, second edition, 1998.
    • (1998) Volume 5 of Graduate Texts in Mathematics
    • Mac Lane, S.1
  • 39
    • 0000920716 scopus 로고    scopus 로고
    • On charged fields with group symmetry and degeneracies of Verlinde's matrix S
    • Müger M.: On charged fields with group symmetry and degeneracies of Verlinde's matrix S. Ann. Inst. H. Poincaré Phys. Théor. 71(4), 359-394 (1999).
    • (1999) Ann. Inst. H. Poincaré Phys. Théor. , vol.71 , Issue.4 , pp. 359-394
    • Müger, M.1
  • 40
    • 0345856521 scopus 로고    scopus 로고
    • Galois theory for braided tensor categories and the modular closure
    • Müger M.: Galois theory for braided tensor categories and the modular closure. Adv. Math. 150(2), 151-201 (2000).
    • (2000) Adv. Math. , vol.150 , Issue.2 , pp. 151-201
    • Müger, M.1
  • 41
    • 18844416449 scopus 로고    scopus 로고
    • Conformal orbifold theories and braided crossed G-categories
    • Müger M.: Conformal orbifold theories and braided crossed G-categories. Commun. Math. Phys. 260(3), 727-762 (2005).
    • (2005) Commun. Math. Phys. , vol.260 , Issue.3 , pp. 727-762
    • Müger, M.1
  • 42
    • 63949087354 scopus 로고    scopus 로고
    • Borchers' commutation relations for sectors with braid group statistics in low dimensions
    • Mund J.: Borchers' commutation relations for sectors with braid group statistics in low dimensions. Ann. Henri Poincaré 10(1), 19-34 (2009).
    • (2009) Ann. Henri Poincaré , vol.10 , Issue.1 , pp. 19-34
    • Mund, J.1
  • 43
    • 59449103922 scopus 로고    scopus 로고
    • The spin-statistics theorem for anyons and plektons in d = 2+1
    • Mund J.: The spin-statistics theorem for anyons and plektons in d = 2+1. Commun. Math. Phys. 286(3), 1159-1180 (2009).
    • (2009) Commun. Math. Phys. , vol.286 , Issue.3 , pp. 1159-1180
    • Mund, J.1
  • 46
    • 79251473081 scopus 로고    scopus 로고
    • A categorical presentation of quantum computation with anyons
    • In: Coecke, B. (ed.), Berlin-Heidelberg-New York: Springer
    • Panangaden, P., Paquette, É.: A categorical presentation of quantum computation with anyons. In: Coecke, B. (ed.), New structures for Physics, Lecture Notes in Physics. Berlin-Heidelberg-New York: Springer (2011).
    • (2011) New structures for Physics, Lecture Notes in Physics
    • Panangaden, P.1    Paquette, É.2
  • 47
    • 0002286501 scopus 로고    scopus 로고
    • Braid group statistics and their superselection rules
    • Rehren, K.-H.: Braid group statistics and their superselection rules. In: Kastler [29], pp. 333-355.
    • Kastler , Issue.29 , pp. 333-355
    • Rehren, K.-H.1
  • 48
    • 0000405801 scopus 로고
    • Markov traces as characters for local algebras. From Recent advances in field theory (Annecy-le-Vieux, 1990)
    • Rehren, K.-H.: Markov traces as characters for local algebras. From Recent advances in field theory (Annecy-le-Vieux, 1990), Nucl. Phys. B Proc. Suppl., 18B, 259-268 (1991).
    • (1991) Nucl. Phys. B Proc. Suppl. , vol.18 B , pp. 259-268
    • Rehren, K.-H.1
  • 49
    • 0001436950 scopus 로고
    • Field operators for anyons and plektons
    • Rehren K.-H.: Field operators for anyons and plektons. Commun. Math. Phys. 145(1), 123-148 (1992).
    • (1992) Commun. Math. Phys. , vol.145 , Issue.1 , pp. 123-148
    • Rehren, K.-H.1
  • 50
    • 0001892924 scopus 로고
    • Cross products of von Neumann algebras by group duals
    • London: Academic Press
    • Roberts, J. E.: Cross products of von Neumann algebras by group duals. In: Symposia Mathematica, Volume XX, London: Academic Press, 1976, pp. 335-363.
    • (1976) Symposia Mathematica , vol.XX , pp. 335-363
    • Roberts, J.E.1
  • 51
    • 0000127034 scopus 로고
    • Local cohomology and superselection structure
    • Roberts J. E.: Local cohomology and superselection structure. Commun. Math. Phys. 51(2), 107-119 (1976).
    • (1976) Commun. Math. Phys. , vol.51 , Issue.2 , pp. 107-119
    • Roberts, J.E.1
  • 52
    • 0001922905 scopus 로고    scopus 로고
    • Lectures on algebraic quantum field theory
    • Roberts, J. E.: Lectures on algebraic quantum field theory. In: Kastler [29], pp. 1-112.
    • Kastler , Issue.29 , pp. 1-112
    • Roberts, J.E.1
  • 53
    • 0004174310 scopus 로고
    • Catégories Tannakiennes
    • Berlin: Springer-Verlag
    • Saavedra Rivano, N.: Catégories Tannakiennes. Lecture Notes in Mathematics, Vol. 265. Berlin: Springer-Verlag, 1972.
    • (1972) Lecture Notes in Mathematics , vol.265
    • Saavedra Rivano, N.1
  • 54
    • 84996015847 scopus 로고
    • Cohomology and extensions of von Neumann algebras. II
    • Sutherland C. E.: Cohomology and extensions of von Neumann algebras. II. Publ. Res. Inst. Math. Sci. 16(1), 135-174 (1980).
    • (1980) Publ. Res. Inst. Math. Sci. , vol.16 , Issue.1 , pp. 135-174
    • Sutherland, C.E.1
  • 55
    • 21144482801 scopus 로고
    • Quantum symmetry and braid group statistics in G-spin models
    • Szlachányi K., Vecsernyés P.: Quantum symmetry and braid group statistics in G-spin models. Commun. Math. Phys. 156(1), 127-168 (1993).
    • (1993) Commun. Math. Phys. , vol.156 , Issue.1 , pp. 127-168
    • Szlachányi, K.1    Vecsernyés, P.2
  • 56
    • 0003523790 scopus 로고
    • Quantum invariants of knots and 3-manifolds
    • Walter de Gruyter & Co., Berlin
    • Turaev, V. G.: Quantum invariants of knots and 3-manifolds. Volume 18 of de Gruyter Studies in Mathematics. Berlin: Walter de Gruyter & Co., 1994.
    • (1994) Volume 18 of de Gruyter Studies in Mathematics
    • Turaev, V.G.1
  • 57
    • 45549111952 scopus 로고
    • Fusion rules and modular transformations in 2D conformal field theory
    • Verlinde E.: Fusion rules and modular transformations in 2D conformal field theory. Nucl. Phys. B 300(3), 360-376 (1988).
    • (1988) Nucl. Phys. B , vol.300 , Issue.3 , pp. 360-376
    • Verlinde, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.