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Connecting lattice and relativistic models via conformal field theory

  • The University of Tokyo
  • Université Paris VI

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

We consider the quantum group invariant XXZ-model. In the infrared limit it describes a Conformal Field Theory (CFT) with modified energy-momentum tensor. The correlation functions are related to solutions of level −4 of the qKZ equations. We describe these solutions relating them to level 0 solutions. We further consider general matrix elements (form factors) containing local operators and asymptotic states. We explain that the formulae for solutions of the qKZ equations suggest a decomposition of these matrix elements with respect to states of the corresponding CFT.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages157-173
Number of pages17
DOIs
StatePublished - 2005

Publication series

NameProgress in Mathematics
Volume237
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • CFT
  • Correlation functions
  • QKZ
  • Quantum group
  • XXZ model

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