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Boundary conformal fields and Tomita--Takesaki theory

Abstract:

Motivated by formal similarities between the continuum limit of the Ising model and the Unruh effect, this paper connects the notion of an Ishibashi state in boundary conformal field theory with the Tomita--Takesaki theory for operator algebras. A geometrical approach to the definition of Ishibashi states is presented, and it is shownthat, when normalisable the Ishibashi states are cyclic separating states, justifying the operator state correspondence. When the states are not normalisable Tom...

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Publication status:
Published

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Publisher copy:
10.1063/1.1625872

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Semplice, M More by this author
Journal:
J.Math.Phys.
Volume:
44
Issue:
12
Pages:
5517-5529
Publication date:
2003-06-09
DOI:
ISSN:
0022-2488
URN:
uuid:a6ec0bb3-aead-4957-a163-50748ebb2dc2
Source identifiers:
20632
Local pid:
pubs:20632
Keywords:

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