An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings

Abstract

We write down a vertical representation for the elliptic Ding-Iohara-Miki algebra, and construct an elliptic version of the refined topological vertex of Awata, Feigin and Shiraishi. We show explicitly that this vertex reproduces the elliptic genus of M-strings, and that it is an intertwiner of the algebra.

18+15 pages; typos further corrected in v3

References in corpus (4)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• The Refined Topological Vertex
• $(q,t)$-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces
• Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver

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• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• ABCD of qq-characters
• Gauge origami and quiver W-algebras
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
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