Strings of minimal 6d SCFTs. (English) Zbl 1338.81324
Summary: We study strings associated with minimal 6d SCFTs, which by definition have only one string charge and no Higgs branch. These theories are labelled by a number \(n\) with \(1 \leq n \leq 8\) or \(n = 12\). Quiver theories have previously been proposed which describe strings of SCFTs for \(n = 1, 2\). For \(n > 2\) the strings interact with the bulk gauge symmetry. In this paper we find a quiver description for the \(n = 4\) string using Sen’s limit of F-theory and calculate its elliptic genus with localization techniques. This result is checked using the duality of F-theory with M-theory and topological string theory whose refined BPS partition function captures the elliptic genus of the SCFT strings. We use the topological string theory to gain insight into the elliptic genus for other values of \(n\).
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 16G70 | Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers |
| 58J26 | Elliptic genera |
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