# LOCAL NATURE OF COSET MODELS

@article{Koester2003LOCALNO, title={LOCAL NATURE OF COSET MODELS}, author={Soeren Koester}, journal={Reviews in Mathematical Physics}, year={2003}, volume={16}, pages={353-382} }

The local algebras of the maximal Coset model ${\mathcal C}_{\max}$ associated with a chiral conformal subtheory ${\mathcal A}\subset {\mathcal B}$ are shown to coincide with the local relative commutants of ${\mathcal A}$ in ℬ, provided ${\mathcal A}$ possesses a stress-energy tensor. Making the same assumption, the adjoint action of the unique inner-implementing representation $U^{\mathcal A}$ associated with ${\mathcal A}\subset {\mathcal B}$ on the local observables in ℬ is found to define…

## 12 Citations

### Quantum Operations On Conformal Nets

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We study inclusions of local, chiral, conformal quantum theories C which are contained in an ambient theory B and commute with another given subtheory A. These subtheories C are called Coset models.…

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### Conformal Covariance Subalgebras

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This PhD thesis focuses on local conformal nets of von Neumann algebras on the circle. For a more detailed description of its content and of the results published within, see its preface.

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Mathematics

We study inclusions of local, chiral, conformal quantum theories C which are contained in an ambient theory B and commute with another given subtheory A. These subtheories C are called Coset models.…

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Mathematics

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