Resolving singularities in (0,2) models Export

@article{citeulike:5137209, abstract = {In contrast to the familiar (2,2) case, the singularities which arise in the (0,2) setting can be associated with degeneration of the base Calabi-Yau manifold and/or with degenerations of the gauge bundle. We study a variety of such singularities and give a procedure for resolving those which can be cured perturbatively. Among the novel features which emerge are models in which smoothing singularities in the base yields a gauge sheaf as opposed to a gauge bundle as the structure to which left-moving fermions couple. Supersymmetric σ-models with target data being an appropriate sheaf on a Calabi-Yau space therefore appear to be the natural arena for N = 1 string models in four dimensions. We also indicate a variety of singularities which would require a non-perturbative treatment for their resolution and briefly discuss applications to heterotic models on K3.}, author = {Distler, J.}, citeulike-article-id = {5137209}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0550-3213(96)90135-2}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0550-3213(96)90135-2}, day = {09}, doi = {10.1016/S0550-3213(96)90135-2}, issn = {05503213}, journal = {Nuclear Physics B}, keywords = {blowup, cft, orbifold}, month = {December}, number = {1-2}, pages = {289--312}, posted-at = {2009-07-13 15:23:14}, priority = {2}, title = {Resolving singularities in (0,2) models}, url = {http://dx.doi.org/10.1016/S0550-3213(96)90135-2}, volume = {481}, year = {1996} }

TY - JOUR ID - citeulike:5137209 L3 - citeulike-article-id:5137209 N2 - In contrast to the familiar (2,2) case, the singularities which arise in the (0,2) setting can be associated with degeneration of the base Calabi-Yau manifold and/or with degenerations of the gauge bundle. We study a variety of such singularities and give a procedure for resolving those which can be cured perturbatively. Among the novel features which emerge are models in which smoothing singularities in the base yields a gauge sheaf as opposed to a gauge bundle as the structure to which left-moving fermions couple. Supersymmetric σ-models with target data being an appropriate sheaf on a Calabi-Yau space therefore appear to be the natural arena for N = 1 string models in four dimensions. We also indicate a variety of singularities which would require a non-perturbative treatment for their resolution and briefly discuss applications to heterotic models on K3. IS - 1-2 JF - Nuclear Physics B SN - 05503213 EP - 312 TI - Resolving singularities in (0,2) models VL - 481 SP - 289 KW - blowup KW - cft KW - orbifold AU - Distler, J PY - 1996/12/09/ UR - http://dx.doi.org/10.1016/S0550-3213(96)90135-2 ER -