Surface defects on E-string from 5-brane webs

Abstract

We study 6d E-string theory with defects on a circle. Our basic strategy is to apply the geometric transition to the supersymmetric gauge theories. First, we calculate the partition functions of the 5d SU(3)${}_0$ gauge theory with 10 flavors, which is UV-dual to the 5d Sp(2) gauge theory with 10 flavors, based on two different 5-brane web diagrams, and check that two partition functions agree with each other. Then, by utilizing the geometric transition, we find the surface defect partition function for E-string on ${\mathbb{R}}^4\times T^2$. We also discuss that our result is consistent with the elliptic genus. Based on the result, we show how the global symmetry is broken by the defects, and discuss that the breaking pattern depends on where/how we insert the defects.

arXiv commentv1: 39 pages, 22 figures; v2: published version

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Cited by in corpus (10)

• More on topological vertex formalism for 5-brane webs with O5-plane
• E-string Quantum Curve
• Elliptic Quantum Curves of 6d SO(N) theories
• Refined topological vertex with ON-planes
• Blowup Equations for Little Strings
• Refined open topological strings revisited
• O-vertex, O7${}^{+}$-plane, and Topological Vertex
• 3d $\mathcal{N}=2$ Brane Webs and Quiver Matrices
• Rényi Entropy with Surface Defects in Six Dimensions
• Probing Quantum Curves and Transitions in 5d SQFTs via Defects and Blowup Equations