Born SigmaModels for ParaHermitian Manifolds and Generalized TDuality
Abstract
We give a covariant realization of the doubled sigmamodel formulation of dualitysymmetric string theory within the general framework of paraHermitian geometry. We define a notion of generalized metric on a paraHermitian manifold and discuss its relation to Born geometry. We show that a Born geometry uniquely defines a worldsheet sigmamodel with a paraHermitian target space, and we describe its Lie algebroid gauging as a means of recovering the conventional sigmamodel description of a physical string background as the leaf space of a foliated paraHermitian manifold. Applying the KotovStrobl gauging leads to a generalized notion of Tduality when combined with transformations that act on Born geometries. We obtain a geometric interpretation of the selfduality constraint that halves the degrees of freedom in doubled sigmamodels, and we give geometric characterizations of nongeometric string backgrounds in this setting. We illustrate our formalism with detailed worldsheet descriptions of closed string phase spaces, of doubled groups where our notion of generalized Tduality includes nonabelian Tduality, and of doubled nilmanifolds.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.09997
 Bibcode:
 2019arXiv191009997M
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Differential Geometry
 EPrint:
 81 pages