Associative-algebraic approach to logarithmic conformal field theories

@inproceedings{Read2007AssociativealgebraicAT,
  title={Associative-algebraic approach to logarithmic conformal field theories},
  author={Nicholas Read and H. Saleur},
  year={2007}
}
We set up a strategy for studying large families of logarithmic conformal field theories by using the enlarged symmetries and non–semi-simple associative algebras appearing in their lattice regularizations (as discussed in a companion paper). Here we work out in detail two examples of theories derived as the continuum limit of XXZ spin-1/2 chains, which are related to spin chains with supersymmetry algebras gl(n|n) and gl(n + 1|n), respectively, with open (or free) boundary conditions in all… CONTINUE READING
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