Rethinking mirror symmetry as a local duality on fields
Chiung Hwang, Sara Pasquetti, Matteo Sacchi
Abstract
The authors develop an algorithm for a field theoretical implementation of mirror symmetry. This is based on the so-called quiver representation of certain $N=1$ supersymmetric theories and is a non-abelian generalization of the piecewise dualization of three-dimensional abelian theories. Extensions of this local field-theoretic operations to non-supersymmetric theories are expected.
Topics & Concepts
QuiverDuality (order theory)GeneralizationSymmetry (geometry)Abelian groupTheoretical physicsSeiberg dualityMirror symmetryPhysicsField theory (psychology)Field (mathematics)Representation (politics)Local symmetryMathematicsMathematical physicsAlgebra over a fieldPure mathematicsQuantum mechanicsSupersymmetric gauge theoryGauge theoryMathematical analysisGeometryPolitical sciencePoliticsGauge anomalyLawAlgebraic structures and combinatorial modelsTheoretical and Computational PhysicsTopological and Geometric Data Analysis