Putting generalised Toda QFT on the lattice

Joerg Teschner
2017
We describe a strategy to construct integrable lattice regularisations of a class of integrable field theories of generalised Toda type. The interaction terms in the Lagrangian determine the quantum affine (super-) algebras responsible for the integrability of the theory. All the main ingredients of the lattice regularisation (Lax matrices, T- and Q- operators) are obtained by applying suitable representations to the universal R-matrix of the relevant quantum affine (super-) algebra. A key
more » ... re of the proposal is a direct relation between lattice light-cone directions and the Borel subalgebras of the quantum affine (super-) algebra.(Based on joint work with D. Ridout and C. Meneghelli, arXiv:1102.5716, arXiv:1504.04572).
doi:10.3204/pubdb-2018-00224 fatcat:oq3ctbpulbbl7bzsjudytdxb4u