The Enhancement of Supersymmetry in M-strings

Abstract

We study two M5-branes on $A_1$ ALE space. We introduce some M2-branes suspended between the M5-branes. Then, the boundaries of M2-branes look like strings. We call them "M-strings". The M-strings have $\mathcal{N}=(4,0)$ supersymmetry by considering the brane configuration on $A_1$ ALE space. We calculate the partition function of M-strings by using the refined topological vertex formalism. We find that the supersymmetry of M-strings gets enhanced to $\mathcal{N}=(4,4)$ by tuning some Kähler parameters. Furthermore, we discuss another possibility of the enhancement of supersymmetry which is different from the above one.

20 pages, 11 figures, v3: typos are corrected, reference is added, some generalization is added in sec.3, published in Int. J. Mod. Phys. A

References in corpus (7)

• The Refined Topological Vertex
• A new 5d description of 6d D-type minimal conformal matter
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• M String, Monopole String and Modular Forms
• Flop invariance of the topological vertex
• Super-Yang-Mills theories on S4 x R

Cited by in corpus (5)

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• Topological vertex formalism with O5-plane
• Supersymmetric localization in two dimensions
• Surface defects on E-string from 5-brane webs
• Quantum mirror curve of periodic chain geometry