- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1063/1.1625872
-
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- 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:
- Copyright date:
- 2003
- Notes:
- plain TeX
Journal article
Boundary conformal fields and Tomita--Takesaki theory
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