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TEMPERATURE STATES ON LOOP-GROUPS, THETA FUNCTIONS AND THE LUTTINGER MODEL

Abstract:

We consider projective representations of the loop group of U(N) suggested by statistical mechanics. These representations are defined by certain positive definite functions (called temperature states) on the universal central extension of the loop group. We find that the Boson-Fermion correspondence, known to exist in a mathematically precise form at zero temperature, persists at non-zero temperature. By expressing the temperature state for U(1) in two different ways we obtain identities bet...

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Publication status:
Published

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Journal:
JOURNAL OF FUNCTIONAL ANALYSIS
Volume:
75
Issue:
1
Pages:
128-160
Publication date:
1987-11-01
DOI:
EISSN:
1096-0783
ISSN:
0022-1236
Source identifiers:
996
Language:
English
Pubs id:
pubs:996
UUID:
uuid:cfebfc66-bf50-48c5-9763-30694989c72b
Local pid:
pubs:996
Deposit date:
2012-12-19

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