Annales Henri Poincaré

, Volume 16, Issue 2, pp 569–608 | Cite as

Integrable QFT and Longo–Witten Endomorphisms

  • Marcel Bischoff
  • Yoh Tanimoto
Open Access


Our previous constructions of Borchers triples are extended to massless scattering with nontrivial left and right components. A massless Borchers triple is constructed from a set of left–left, right–right and left–right scattering functions. We find a correspondence between massless left–right scattering S-matrices and massive block diagonal S-matrices. We point out a simple class of S-matrices with examples. We study also the restriction of two-dimensional models to the lightray. Several arguments for constructing strictly local two-dimensional nets are presented and possible scenarios are discussed.


Baxter Equation Standard Pair Strict Locality Translation Covariance Standard Subspace 
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Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany
  2. 2.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan
  3. 3.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany

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