Abstract
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.
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Communicated by Karl-Henning Rehren.
Marcel Bischoff supported by the German Research Foundation (Deutsche Forschungsgemeinschaft (DFG)) by the DFG Research Training Group 1493 “Mathematical Structures in Modern Quantum Physics”. Supported in part by the ERC Advanced Grant 227458 OACFT “Operator Algebras and Conformal Field Theory”.
Yoh Tanimoto supported by Deutscher Akademischer Austauschdienst until August 2012, by Hausdorff Institut für Mathematik until December 2012, by Alexander von Humboldt Stiftung until March 2013 and by Grant-in-Aid for JSPS fellows 25-205 since April 2013.
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Bischoff, M., Tanimoto, Y. Integrable QFT and Longo–Witten Endomorphisms. Ann. Henri Poincaré 16, 569–608 (2015). https://doi.org/10.1007/s00023-014-0337-1
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DOI: https://doi.org/10.1007/s00023-014-0337-1