Twisted Einstein Tensors and Orbifold Geometry
摘要
Following recent advances in the local theory of current-algebraic orbifolds, we study various geometric properties of the general WZW orbifold, the general coset orbifold and a large class of (non-linear) sigma model orbifolds. Phase-space geometry is emphasized for the WZW orbifolds - while for the sigma model orbifolds we construct the corresponding {\it sigma model orbifold action}, which includes the previously-known general WZW orbifold action and general coset orbifold action as special cases. We focus throughout on the {\it twisted Einstein tensors} with diagonal monodromy, including the twisted Einstein metric, the twisted B field and the twisted torsion field of each orbifold sector. Finally, we present strong evidence for a conjectured set of {\it twisted Einstein equations} which should describe those sigma model orbifolds in this class which are also 1-loop conformal.
引用
@article{arxiv.hep-th/0212275,
title = {Twisted Einstein Tensors and Orbifold Geometry},
author = {J. deBoer and M. B. Halpern and C. Helfgott},
journal= {arXiv preprint arXiv:hep-th/0212275},
year = {2008}
}
备注
67 pages, typos corrected