{ "id": "1510.08758", "version": "v1", "published": "2015-10-29T16:06:25.000Z", "updated": "2015-10-29T16:06:25.000Z", "title": "Harmonic Maps with Potentials", "authors": [ "Volker Branding" ], "categories": [ "math.DG", "math-ph", "math.AP", "math.MP" ], "abstract": "We study harmonic maps from surfaces coupled to a scalar and a two-form potential, which arise as critical points of the action of the full bosonic string. We investigate several analytic and geometric properties of these maps and prove an existence result by the heat flow method.", "revisions": [ { "version": "v1", "updated": "2015-10-29T16:06:25.000Z" } ], "analyses": { "subjects": [ "58E20", "35K55", "53C08", "53C80" ], "keywords": [ "study harmonic maps", "heat flow method", "existence result", "two-form potential", "geometric properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151008758B", "inspire": 1401455 } } }