2-Group symmetries and M-theory
Michele Del Zotto, Iñaki García‐Etxebarria, Sakura Schäfer‐Nameki
Abstract
Quantum Field Theories engineered in M-theory can have 2-group symmetries, mixing 0-form and 1-form symmetry backgrounds in non-trivial ways. In this paper we develop methods for determining the 2-group structure from the boundary geometry of the M-theory background. We illustrate these methods in the case of 5d theories arising from M-theory on ordinary and generalised toric Calabi-Yau cones, including cases in which the resulting theory is non-Lagrangian. Our results confirm and elucidate previous results on 2-groups from geometric engineering.
Topics & Concepts
Homogeneous spaceGroup (periodic table)Group theorySymmetry (geometry)Field theory (psychology)Symmetry groupMixing (physics)Theoretical physicsMathematicsBoundary (topology)Field (mathematics)PhysicsPure mathematicsMathematical physicsGeometryQuantum mechanicsMathematical analysisBlack Holes and Theoretical PhysicsNonlinear Waves and SolitonsAlgebraic structures and combinatorial models