Surface Operators from M-strings

Abstract

It has been found that surface operators have a significant role in AGT relation. This duality is an outstanding consequence of M-theory, but it is actually encoded into the brane web for which the topological string can work. From this viewpoint, the surface defect in AGT relation is geometrically engineered as a toric brane realization. Also, there is a class of the brane configuration in M-theory called M-strings which can be translated into the language of the topological string. In this work, we propose a new M-string configuration which can realize AGT relation in the presence of the surface defect by utilizing the geometric transition in the refined topological string.

25 pages, 12 figures; v2: discussions added and published in Physical Review D

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Cited by in corpus (8)

• A slow review of the AGT correspondence
• Refined geometric transition and $qq$-characters
• Five-Brane Webs and Highest Weight Representations
• Elliptic Quantum Curves of Class ${\mathcal{S}}_k$
• Surface defects on E-string from 5-brane webs
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Blowup Equations for Little Strings
• Refined Topological Branes