Fermionic Higher-form Symmetries

Abstract

In this paper, we explore a new type of global symmetries$-$the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture.

arXiv comment29 pages

References in corpus (35)

• The galileon as a local modification of gravity
• Generalized Global Symmetries
• On the Geometry of the String Landscape and the Swampland
• The Swampland: Introduction and Review
• Generalized Symmetries in Condensed Matter
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Spin TQFTs and fermionic phases of matter
• Duality in Gravity and Higher Spin Gauge Fields
• Strongly Coupled Gravity and Duality
• Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
• Higher Gauge Theory: 2-Connections on 2-Bundles
• Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms
• Symmetries and Compactifications of (4,0) Conformal Gravity
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• Superconformal symmetry and maximal supergravity in various dimensions
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• Gravity as a gapless phase and biform symmetries
• Topological order in a color-flavor locked phase of $(3+1)$-dimensional $U(N)$ gauge-Higgs system
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• Classical and Quantum Gauged Massless Rarita-Schwinger Fields
• Chiral Tensors of Mixed Young Symmetry
• Conformal Non-Geometric Gravity in Six Dimensions and M-Theory above the Planck Energy
• Toward Exotic 6D Supergravities
• Canonical Field Anticommutators in the Extended Gauged Rarita-Schwinger Theory
• A note on the double dual graviton
• On symmetries and dynamics of exotic supermultiplets
• Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
• Supersymmetric action for 6D $(4,0)$ supergravity
• Note on antisymmetric spin-tensors
• The Action of the (free) $(4,0)$-theory
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Surface Operators in Superspace
• Supergravity

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• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme