Coloured refined topological vertices and parafermion conformal field theories

Abstract

We extend the definition of the refined topological vertex C to an n-coloured refined topological vertex C_n that depends on n free bosons, and compute the 5D strip partition function made of N pairs of C_n vertices and conjugate C*_n vertices. Using geometric engineering and the AGT correspondence, the 4D limit of this strip partition function is identified with a (normalized) matrix element of a (primary state) vertex operator that intertwines two (arbitrary descendant) states in a (generically non-rational) 2D conformal field theory with Z_n parafermion primary states.

arXiv comment43 pages, minor improvements, version to appear in J Phys A

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Cited by in corpus (1)

• A slow review of the AGT correspondence