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On Relative Entropy and Global Index · Around

2018

On Relative Entropy and Global Index

Xu, Feng

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Certain duality of relative entropy can fail for chiral conformal net with nontrivial representations.

In this paper we quantify such statement by defining a quantity which measures the failure of such duality, and identify this quantity with relative entropy and global index associated with multi-interval subfactors for a large class of conformal nets.
In particular we show that the duality holds for a large class of conformal nets if and only if they are holomorphic.
The same argument also applies to CFT in two dimensions.

Built on

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1980
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2001
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