Transverse generalized metrics and 2d sigma models
arXiv:1901.08904 · doi:10.1016/j.geomphys.2019.103509
Abstract
We reformulate the compatibility condition between a generalized metric and a small (non-maximal rank) Dirac structure in an exact Courant algebroid found in the context of the gauging of strings and formulated by means of two connections in purely Dirac-geometric terms. The resulting notion, a transverse generalized metric, is also what is needed for the dynamics on the reduced phase space of a string theory.
arXiv comment6 pages, added: explanations about gauging and a definition of Dirac-Riemannian foliations. Version to be published in the new Letters section of the Journal of Geometry and Physics
References in corpus (8)
- Current Algebras and Differential Geometry
- Dirac Sigma Models
- Letters to Alan Weinstein about Courant algebroids
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- Lie algebroids, gauge theories, and compatible geometrical structures
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- Topological Dirac Sigma Models and the Classical Master Equation
- Duality, generalized global symmetries and jet space isometries
- Classical worldvolumes as generalised geodesics
- Poisson-Lie T-duality defects and target space fusion