2017/04/24 by G. Aldazabal, E. Andrés, E. Andres +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Discrete symmetry #Gauge anomaly #Gauge symmetry #Hamiltonian lattice gauge theory #Introduction to gauge theory #Non-critical string theory #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #String field theory #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1007/jhep07(2017)045
Minor corrections, extra comments, and references added
arxiv created 2017/04/24 · openalex created_date 2017/04/28 · openalex publication_date 2017/07/01 · arxiv updated 2017/08/02 · openalex updated_date 2026/08/05
Gauge symmetry enhancing, at specific points of the compactification space, is a distinguished feature of string theory. In this work we discuss the breaking of such symmetries with tools provided by Double Field Theory (DFT). As a main guiding example we discuss the bosonic string compactified on a circle where, at the self-dual radio the generic U(1) × U(1) gauge symmetry becomes enhanced to SU(2) × SU(2). We show that the enhancing-breaking of the gauge symmetry can be understood through a dependence of gauge structure constants (fluxes in DFT) on moduli. This dependence, in DFT description, is encoded in the generalized tangent frame of the double space. The explicit T-duality invariant formulation provided by DFT proves to be a helpful ingredient. The link with string theory results is discussed and generalizations to generic tori compactifications are addressed.