Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-21
Int.J.Mod.Phys.A18:3489-3553,2003
Physics
High Energy Physics
High Energy Physics - Theory
67 pages, typos corrected
Scientific paper
10.1142/S0217751X03015271
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.
deBoer J.
Halpern M. B.
Helfgott Craig
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