Superselection theory for subsystems

Communications in Mathematical Physics

Volumn 218, Issue 2, 2001, Pages 263-281

  Conti, Roberto ^a   Doplicher, Sergio ^b   Roberts, John E ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035629036     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100392     Document Type: Article

References (25)

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4. 4. Conti, R.: Inclusioni di algebre di von Neumann e teoria algebrica dei campi. Ph.D. Thesis, Università di Roma Tor Vergata (1996)
5. 5. Davidson, D.R.: Classification of Subsystems of Local Algebras. Ph.D. Thesis, University of California at Berkeley (1993)
6. 6. Doplicher, S.: Progress and problems in algebraic quantum field theory. In S. Albeverio et al. (eds.), Ideas and Methods in Quantum and Statistical Physics Vol. 2, Cambridge: Cambridge Univ. Press, 1992
7. 7. Doplicher, S., Haag, R., Roberts, J.E.: Fields, observables and gauge transformations I. Commun. Math. Phys. 13, 1-23 (1969); II, Commun. Math. Phys. 15, 173-200 (1969)
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10. 8. Doplicher, S., Haag, R., Roberts, J.E.: Local observables and particle statistics I. Commun. Math. Phys. 23, 199-230 (1971); II, Commun. Math. Phys. 35, 49-85 (1974)
11. 9. Doplicher, S., Longo, R.: Standard and split inclusions of von Neumann algebras. Invent. Math. 75, 493-536 (1984)
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13. 11. Doplicher, S., Roberts, J.E.: A new duality theory for compact groups. Invent. Math. 98, 157-218 (1989)
14. 12. Doplicher, S., Roberts, J.E.: Why there is a field algebra with a compact gauge group describing the superselection structure of particle physics. Commun. Math. Phys. 131, 51-107 (1990)
15. 13. Driessler, W.: Duality and Absence of Locally Generated Superselection Sectors for CCR-Type Algebras. Commun. Math. Phys. 70, 213-220 (1979)
16. 14. Haag, R.: Local Quantum Physics. 2nd ed., Berlin-Heidelberg-New York: Springer-Verlag, 1996
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18. 16. Kastler, D. (ed.): The algebraic theory of superselection sectors: Introduction and recent results. Singapore: World Scientific, 1990
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20. 18. Longo, R., Rehren, K.-H.: Nets of Subfactors. Rev. Math. Phys. 7, 567-597 (1995)
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22. 20. Müger, M.: On charged fields with group symmetry and degeneracies of Verlinde's matrix S. Ann. Inst. H. Poincaré 71, 359-394 (1999)
23. 21. Roberts, J.E.: Spontaneously broken gauge symmetries and superselection rules. In: Proceedings of the International School of Mathematical Physics, Camerino 1974, G. Gallavotti ed., Camerino: Universitá di Camerino, 1976
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25. 23. Roberts, J.E.: Lectures on algebraic quantum field theory. In: [16], op. cit