2-Group Symmetries of 6d Little String Theories and T-duality

Abstract

We determine the 2-group structure constants for all the six-dimensional little string theories (LSTs) geometrically engineered in F-theory without frozen singularities. We use this result as a consistency check for T-duality: the 2- groups of a pair of T-dual LSTs have to match. When the T-duality involves a discrete symmetry twist the 2-group used in the matching is modified. We demonstrate the matching of the 2-groups in several examples.

arXiv comment27 pages, references added, typos fixed, version to appear in Annales Henri Poincaré

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• 2-Group Symmetries in Class S
• Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality
• Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
• 2-Group Symmetries and M-Theory
• Higher Symmetries of 5d Orbifold SCFTs
• Continuous Generalized Symmetries in Three Dimensions
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
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• Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
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• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• 2-group global symmetries, hydrodynamics and holography
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
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• Symmetry TFTs from String Theory