5d gauge theories on orbifolds and 4d 't Hooft line indices

Abstract

We study indices for 5d gauge theories on S^1 \times S^4/Z_n. In the large orbifold limit, n \rightarrow \infty, we find evidence that the indices become 4d indices in the presence of a 't Hooft line operator. The non-perturbative part of the index poses some subtleties when being compared to the 4d monopole bubbling which happens in the presence of 't Hooft line operators. We study such monopole bubbling indices and find an interesting connection to the Hilbert series of the moduli space of instantons on an auxiliary ALE space.

43 pages

References in corpus (6)

• Reading between the lines of four-dimensional gauge theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• 3d TQFT from 6d SCFT
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Cited by in corpus (9)

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• A slow review of the AGT correspondence
• On 't Hooft Defects, Monopole Bubbling and Supersymmetric Quantum Mechanics
• The $\mathcal{N}=4$ Schur index with Polyakov loops
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• Wilson surfaces in M5-branes
• ABCD of 't Hooft operators
• The NS limit of the 5D Superconformal Index
• Schur Connections: Chord Counting, Line Operators, and Indices