Modular covariance, PCT, spin and statistics
Annales de l'I.H.P. Physique théorique, Volume 63 (1995) no. 4, p. 383-398
@article{AIHPA_1995__63_4_383_0,
     author = {Guido, Daniele},
     title = {Modular covariance, PCT, spin and statistics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {63},
     number = {4},
     year = {1995},
     pages = {383-398},
     zbl = {0843.46055},
     mrnumber = {1367143},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1995__63_4_383_0}
}
Guido, Daniele. Modular covariance, PCT, spin and statistics. Annales de l'I.H.P. Physique théorique, Volume 63 (1995) no. 4, pp. 383-398. http://www.numdam.org/item/AIHPA_1995__63_4_383_0/

[1] J. Bisognano and E. Wichmann, On the duality condition for a Hermitian scalar field, J. Math. Phys., Vol. 16, 1975, pp. 985-1007. | MR 438943 | Zbl 0316.46062

[2] J. Bisognano and E. Wichmann, On the duality condition for quantum fields, J. Math. Phys., Vol. 17, 1976, pp. 303-321. | MR 438944

[3] H.J. Borchers, The CPT theorem in two-dimensional theories of local observables, Commun. Math. Phys., Vol. 143, 1992, p. 315. | MR 1145798 | Zbl 0751.46045

[4] H.J. Borchers, On the use of modular groups in quantum field theory, Ann. Inst. H. Poincaré, this Issue. | Numdam | Zbl 0838.46059

[5] R. Brunetti, D. Guido and R. Longo, Modular structure and duality in conformal quantum field theory, Comm. Math. Phys., Vol. 156, 1993, pp. 201-219. | MR 1234110 | Zbl 0809.46086

[6] R. Brunetti, D. Guido and R. Longo, Group cohomology, modular theory and space-time symmetries, Rev. Math. Phys., Vol. 7, 1994, pp. 57-71. | MR 1310766 | Zbl 0837.46058

[7] R. Brunetti, D. Guido and R. Longo (in preparation).

[8] D. Buchholz and S.J. Summers, An algebraic characterization of vacuum states in Minkowski space, Commun. Math. Phys., Vol. 155, 1993, pp. 442-458. | MR 1231637 | Zbl 0788.46074

[9] D. Davidson, Endomorphism Semigroups and Lightlike Translations, preprint (hep-th/9412094). | MR 1401057

[10] D. Davidson (in preparation).

[11] S. Doplicher, R. Haag and J.E. Roberts, Local observables and particle statistics I, Commun. Math. Phys., Vol. 23, 1971, pp. 199-230. | MR 297259

[12] S. Doplicher, R. Haag and J.E. Roberts, Local observables and particle statistics II, Commun. Math. Phys., Vol. 35, 1974, pp. 49-85. | MR 334742

[13] S. Doplicher and J.E. Roberts, Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics, Commun. Math. Phys., Vol. 131, 1990, pp. 51-107. | MR 1062748 | Zbl 0734.46042

[14] K. Fredenhagen, Generalization of the theory of superselection sectors, in The algebraic Theory of Superselection Sectors, D. KASTLER Ed., World Scientific, Singapore, 1990. | MR 1147460

[15] F. Gabbiani and J. Fröhlich, Operator algebras and Conformal Field Theory, Commun. Math. Phys., Vol. 155, 1993, pp. 569-640. | MR 1231644 | Zbl 0801.46084

[16] D. Guido and R. Longo, Relativistic invariance and charge conjugation in quantum field theory, Commun. Math. Phys., Vol. 148, 1992, pp. 521-551. | MR 1181069 | Zbl 0771.46039

[17] D. Guido and R. Longo, An algebraic Spin and Statistics theorem. I, to appear in Commun. Math. Phys. | MR 1354258 | Zbl 0831.46081

[18] D. Guido and R. Longo, The Conformal Spin and Statistics theorem, preprint (hep-th/9505059). | MR 1410566

[19] P. Hislop and R. Longo, Modular structure of the local algebras associated with the free massless scalar field theory, Commun. Math. Phys., Vol. 84, 1982, p. 84. | MR 660540 | Zbl 0491.46060

[20] M. Jörss, The construction of pointlike fields from conformal Haag-Kastler nets, preprint (hep-th/9506016).

[21] B. Kuckert, A new approach to Spin and Statistics, preprint (hep-th/9412130). | MR 1358297

[22] B. Kuckert, Borchers' commutation relations and modular symmetries, preprint (hep-th/9509155).

[23] R. Longo, Index of subfactors and statistics of quantum fields. I, Commun. Math. Phys., Vol. 126, 1989, pp. 217-247. | MR 1027496 | Zbl 0682.46045

[24] R. Longo, Index of subfactors and Statistics of quantum fields. II, Commun. Math. Phys., Vol. 130, 1990, pp. 285-309. | MR 1059320 | Zbl 0705.46038

[25] A.I. Oksak and I.T. Todorov, Invalidity of TCP-theorem for infinite-component - fields, Commun. Math. Phys., Vol. 11, 1968, pp. 125-130. | MR 239828 | Zbl 0162.28802

[26] H.V. Wiesbrock, Conformal quantum field theory and half-sided modular inclusions of von Neumann algebras, Commun. Math. Phys., Vol. 158, 1993, pp. 537-544. | MR 1255426 | Zbl 0802.46089

[27] J. Yngvason, A note on essential duality, Lett. Math. Phys., Vol. 31, 1994, pp. 127-141. | MR 1280391 | Zbl 0807.47061