AGT conjecture and AFLT states: a complete construction

Abstract

A complete construction of the AFLT states is proposed. With this construction and for all the cases we have checked, the AGT conjecture on the equivalence of Nekrasov Instanton Counting (NIC) to the $Vir\oplus u(1)$ conformal block has been verified to be true.

Latex, 23 pages, 1 figure, typo corrected, english improved, one more reference added

References in corpus (12)

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Cited by in corpus (11)

• Conformal blocks in Virasoro and W theories: duality and the Calogero-Sutherland model
• A slow review of the AGT correspondence
• Yangian associated with 2D $\mathcal{N}=1$ SCFT
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
• Construction of the Symbol Invariant of Partition
• Symbol Invariant of Partition and the Construction
• Fingerprint Invariant of Partitions and Construction
• Invariants of rigid surface operators
• Symbol, Surface operators and $S$-duality
• Invariants of partitions and representative elements