Gauge symmetry enhancing-breaking from a Double Field Theory perspective

Autor: Aldazabal, G., Andres, E., Mayo, Martin, Rosabal, J. A.
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP07(2017)045
Popis: 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 $U(1)\times U(1)$ gauge symmetry becomes enhanced to $SU(2)\times SU(2)$. 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. Actually, 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.
Comment: Minor corrections, extra comments, and references added
Databáze: arXiv