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Abelian duality, walls and boundary conditions in diverse dimensions
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Abelian duality, walls and boundary conditions in diverse dimensions
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We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we construct a large class of D-branes for two-dimensional sigma-models with toroidal targets and determine the action of the T-duality group on it. It is manifest in this formalism that T-duality transformations on D-branes are given by a differential-geometric version of the Fourier-Mukai transform.
Forward citations
Cited by 8 Pith papers
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Non-Invertible Duality Defects in 3+1 Dimensions
Constructs non-invertible duality defects for one-form symmetries in 3+1D by partial gauging, derives fusion rules, proves incompatibility with trivial gapped phases, and realizes explicitly in Maxwell theory and latt...
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Stringy T-duality on the lattice and the twisted Villain model
Introduces the twisted Villain model to realize exact T-duality on the lattice for fibred manifolds, recovering bundle-flux exchange and defining topological defects via half-gauging.
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Revisiting boundary electromagnetic duality and edge modes
In 4D Maxwell theory, standard Neumann/Dirichlet boundary conditions render large gauge transformations and edge mode shifts as gauge redundancies, while modified conditions make them physical symmetries generated by ...
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Notes on (-2)-form symmetries
Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...
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$S$-duality, boundary states, and higher-form symmetries on ALE spaces
Maxwell theory on ALE spaces yields vector-valued modular boundary states whose gluing produces ordinary closed-manifold partition functions, with extensions to mixed electric-magnetic 1-form anomalies.
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Monodromy Defects for Electric-Magnetic Duality, Hyperbolic Space, and Lines
Monodromy defects in Maxwell theory are analyzed via mapping to hyperbolic space, recovering the defect primary spectrum and showing that Wilson/'t Hooft lines terminate on defects, become decomposable, and follow Che...
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Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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