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Speaker |
Tanimoto, Yoh |
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Coauthors |
Cadamuro, Daniela |
| Talk Title |
Towards Construction of Integrable QFT with Bound States |
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Abstract |
Recently, large families of two-dimensional quantum field theories with factorizing S-matrices have been constructed by the operator-algebraic methods, by first showing the existence of observables localized in wedge-shaped regions. Up to now, these constructions are limited to the class of S-matrices whose components are analytic in rapidity in the physical strip. In this talk, we construct candidates for observables in wedge-shaped regions for scalar factorizing S-matrices with poles in the physical strip and show that they weakly commute on a certain dense domain. We discuss technical issues concerning further developments, especially the self-adjointness of the candidate operators here and strong commutativity between them. Then we show that, once these technical issues are solved, the existence of observables in compact regions can be also proved through a spectral property of the Lorentz boosts called modular nuclearity. |
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