Construction of AFLT States for W N ⊗ ℋ Symmetry, Analytic Continuation and Integrability on AGT Relation*

Abstract

Abstract We propose a Hamiltonian to the construction of the AFLT states for WN symmetry. We generalize the AGT relation to generic (extended) conformal field theory with 1 ≤ c < ∞. We analyze the triangular structure hidden in the AGT relation with WN symmetry in detail and the triangular structure implies the integrability.