Communications in Mathematical Physics

, Volume 340, Issue 2, pp 661–697 | Cite as

Wedge-Local Fields in Integrable Models with Bound States

  • Daniela Cadamuro
  • Yoh TanimotoEmail author
Open Access


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. However, these constructions have been limited to the class of S-matrices whose components are analytic in rapidity in the physical strip. In this work, we construct candidates for observables in wedges for scalar factorizing S-matrices with poles in the physical strip and show that they weakly commute on a certain domain. We discuss some technical issues concerning further developments, especially the self-adjointness of the candidate operators here and strong commutativity between them.


Integrable Model Local Observable Bootstrap Equation Physical Strip Strong Commutativity 
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Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BristolBristolUK
  2. 2.Graduate School of Mathematical SciencesThe University of Tokyo and Institut für Theoretische Physik, Göttingen UniversityTokyoJapan

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