{ "id": "0909.0696", "version": "v1", "published": "2009-09-03T16:04:17.000Z", "updated": "2009-09-03T16:04:17.000Z", "title": "Defect Perturbations in Landau-Ginzburg Models", "authors": [ "Ilka Brunner", "Daniel Roggenkamp", "Sebastiano Rossi" ], "comment": "46 pages", "journal": "JHEP 1003:015,2010", "doi": "10.1007/JHEP03(2010)015", "categories": [ "hep-th" ], "abstract": "Perturbations of B-type defects in Landau-Ginzburg models are considered. In particular, the effect of perturbations of defects on their fusion is analyzed in the framework of matrix factorizations. As an application, it is discussed how fusion with perturbed defects induces perturbations on boundary conditions. It is shown that in some classes of models all boundary perturbations can be obtained in this way. Moreover, a universal class of perturbed defects is constructed, whose fusion under certain conditions obey braid relations. The functors obtained by fusing these defects with boundary conditions are twist functors as introduced in the work of Seidel and Thomas.", "revisions": [ { "version": "v1", "updated": "2009-09-03T16:04:17.000Z" } ], "analyses": { "keywords": [ "landau-ginzburg models", "defect perturbations", "conditions obey braid relations", "boundary conditions", "perturbed defects induces perturbations" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "year": 2010, "month": "Mar", "volume": 2010, "pages": 15 }, "note": { "typesetting": "TeX", "pages": 46, "language": "en", "license": "arXiv", "status": "editable", "inspire": 830288, "adsabs": "2010JHEP...03..015B" } } }