Superselection Theory for Subsystems |
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Authors: | Roberto Conti Sergio Doplicher John E Roberts |
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Institution: | (1) Dipartimento di Matematica, Università di Roma “Tor Vergata”, 00133 Rome, Italy, IT;(2) Dipartimento di Matematica, Università di Roma “La Sapienza”, 00185 Rome, Italy, IT |
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Abstract: | An inclusion of observable nets satisfying duality induces an inclusion of canonical field nets. Any Bose net intermediate
between the observable net and the field net and satisfying duality is the fixed-point net of the field net under a compact
group. This compact group is its canonical gauge group if the occurrence of sectors with infinite statistics can be ruled
out for the observable net and its vacuum Hilbert space is separable.
Received: 23 December 1999 / Accepted: 25 November 2000 |
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