@article{AIHPA_1999__71_4_359_0, author = {M\"uger, Michael}, title = {On charged fields with group symmetry and degeneracies of {Verlinde{\textquoteright}s} matrix $S^\ast $}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {359--394}, publisher = {Gauthier-Villars}, volume = {71}, number = {4}, year = {1999}, mrnumber = {1721563}, zbl = {0938.81018}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1999__71_4_359_0/} }
TY - JOUR AU - Müger, Michael TI - On charged fields with group symmetry and degeneracies of Verlinde’s matrix $S^\ast $ JO - Annales de l'I.H.P. Physique théorique PY - 1999 SP - 359 EP - 394 VL - 71 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1999__71_4_359_0/ LA - en ID - AIHPA_1999__71_4_359_0 ER -
%0 Journal Article %A Müger, Michael %T On charged fields with group symmetry and degeneracies of Verlinde’s matrix $S^\ast $ %J Annales de l'I.H.P. Physique théorique %D 1999 %P 359-394 %V 71 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1999__71_4_359_0/ %G en %F AIHPA_1999__71_4_359_0
Müger, Michael. On charged fields with group symmetry and degeneracies of Verlinde’s matrix $S^\ast $. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) no. 4, pp. 359-394. http://www.numdam.org/item/AIHPA_1999__71_4_359_0/
[1] Interpolation by type I factors and the flip automorphism, J. Funct. Anal. 51 (1983) 361-371. | MR | Zbl
and ,[2] Technical properties of the quasilocal algebra, in: D. Kastler, ed., The Algebraic Theory of Superselection Sectors. Introduction and Recent Results, World Scientific, 1990.
,[3] Modular invariants, graphs and α-induction for nets of subfactors I, Commun. Math. Phys. 197 (1998) 361-386. | MR | Zbl
and ,[4] Modular structure and duality in QFT, Commun. Math. Phys. 156 (1993) 201-219. | MR | Zbl
, and ,[5] The current algebra on the circle as a germ of local field theories, Nucl. Phys. B (Proc. Suppl.) 5B (1988) 20-56. | MR | Zbl
, and ,[6] On Noether's theorem in quantum field theory, Ann. Phys. 170 (1986) 1-17. | MR | Zbl
, and ,[7] Extensions of automorphisms and gauge symmetries, Commun. Math. Phys. 155 (1993) 123- 134. | MR | Zbl
, , and ,[8]
, unpublished.[9] The operator algebra of orbifold models, Commun. Math. Phys. 123 (1989) 485-527. | MR | Zbl
, , and ,[10] Fields, observables and gauge transformations I, Commun. Math. Phys. 13 (1969) 1-23. | MR | Zbl
, and ,[11] Fields, observables and gauge transformations II, Commun. Math. Phys. 15 (1969) 173-200. | MR | Zbl
, and ,[12] Local observables and particle statistics I, Commun. Math. Phys. 23 (1971) 199-230. | MR
, and ,[13] Fields, statistics and non-abelian gauge groups, Commun. Math. Phys. 28 (1972) 331-348. | MR
and ,[14] Local observables and particle statistics II, Commun. Math. Phys. 35 (1974) 49-85. | MR
, and ,[15] Local aspects of superselection rules, Commun. Math. Phys. 85 (1982) 73-86. | MR | Zbl
,[16] Standard and split inclusions of von Neumann algebras, Invent. Math. 75 (1984) 493-536. | MR | Zbl
and ,[17] A remark on compact automorphism groups of C*-algebras, J. Funct. Anal. 66 (1986) 67-72. | MR | Zbl
and ,[18] Duals of compact Lie groups realized in the Cuntz algebras and their actions on C*-algebras, J. Funct. Anal. 74 (1987) 96- 120. | MR | Zbl
and ,[19] Compact group actions on C*-algebras, J. Oper. Theor. 19 (1988) 283-305. | MR | Zbl
and ,[20] Endomorphisms of C*-algebras, cross products and duality for compact groups, Ann. Math. 130 (1989) 75-119. | MR | Zbl
and ,[21] A new duality theory for compact groups, Invent. Math. 98 (1989) 157-218. | MR | Zbl
and ,[22] Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics, Commun. Math. Phys. 131 (1990) 51-107. | MR | Zbl
and ,[23] Superselection sectors with braid group statistics and exchange algebras I, General theory, Commun. Math. Phys. 125 (1989) 201-226. | MR | Zbl
, and ,[24] Superselection sectors with braid group statistics and exchange algebras II. Geometric aspects and conformal covariance, Rev. Math. Phys. (Special Issue) (1992) 113-157. | MR | Zbl
, and ,[25] A matrix S for all simple current extensions, Nucl. Phys. B 473 (1996) 323-366. | MR | Zbl
, and ,[26] Operator algebras and conformal field theory, Commun. Math. Phys. 155 (1993) 569-640. | MR | Zbl
and ,[27] The conformal spin-statistics theorem, Commun. Math. Phys. 181 (1996) 11-35. | MR | Zbl
and ,[28] Local Quantum Physics, 2nd Ed., Springer, 1996. | MR | Zbl
,[29] Abstract Harmonic Analysis I, 2nd Ed., Springer, 1979. | MR
and ,[30] The Algebraic Theory of Superselection Sectors. Introduction and Recent Results, World Scientific, 1990. | MR
(ed.),[31] Simple injective subfactors, Adv. Math. 63 (1987) 152-171. | MR | Zbl
,[32] Index of subfactors and statistics of quantum fields I, Commun. Math. Phys. 126 (1989) 217-247. | MR | Zbl
,[33] Nets of subfactors, Rev. Math. Phys. 7 (1995) 567- 597. | MR | Zbl
and ,[34] A theory of dimension, K-Theory 11 (1997) 103- 159. | MR | Zbl
and ,[35] Global conformal invariance in QFT, Commun. Math. Phys. 41 (1975) 203-234. | MR
and ,[36] Quantum double actions on operator algebras and orbifold quantum field theories, Commun. Math. Phys. 191 (1998) 137-181. | MR | Zbl
,[37] Superselection structure of massive quantum field theories in 1 + 1 dimensions, Rev. Math. Phys. 10 (1998) 1147-1170. | MR | Zbl
,[38] On the algebraic structure of rational conformal theories, in preparation.
,[39] Braid group statistics and their superselection rules, in: D. Kastler, ed., The Algebraic Theory of Superselection Sectors. Introduction and Recent Results, World Scientific, 1990. | MR
,[40] Markov traces as characters for local algebras, Nucl. Phys. B (Proc. Suppl.) 18B (1990) 259-268. | MR | Zbl
,[41] Cross products of von Neumann algebras by group duals, Sympos. Math. 20 (1976) 335-363. | MR | Zbl
,[42] Local cohomology and superselection structure, Commun. Math. Phys. 51 (1976) 107-119. | MR | Zbl
,[43] Net cohomology and its applications to field theory, in: L. Streit, ed., Quantum Fields, Particles, Processes, Springer, 1980. | MR | Zbl
,[44] Lectures on algebraic quantum field theory, in: D. Kastler, ed., The Algebraic Theory of Superselection Sectors. Introduction and Recent Results, World Scientific, 1990. | MR
,[45] Simple currents, modular invariants, and fixed points, Int. J. Mod. Phys. A 5 (1990) 2903-2952. | MR | Zbl
and ,[46] Normal product states for Fermions and twisted duality for CCR- and CAR-type algebras with application to the Yukawa2 quantum field model, Commun. Math. Phys. 86 (1982) 111-141. | MR | Zbl
,[47] Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B 300 (1988) 360-376. | MR
,