{ "id": "1107.2030", "version": "v2", "published": "2011-07-11T13:53:43.000Z", "updated": "2011-07-14T08:33:52.000Z", "title": "M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6", "authors": [ "Wung-Hong Huang" ], "comment": "Latex 17 pages", "categories": [ "hep-th" ], "abstract": "We study the properties of M2-KK6 (2D membranes - 6D Kaluza-Klein monopole) solution in ABJM membrane theory. First, we find a new kind of BPS solution which has six coordinates, contrasts to our previous solutions which have four coordinates. Next, we argue that, after wrapping 2 sphere the new solution may correspond to the previous solution of four coordinates. We analyze the properties therein and conclude that M2-branes described in ABJM theory could expand into fuzzy three sphere plus a wrapped 2 sphere near the KK6 core. Especially, we show in detail how the fuzzy 3-sphere could arise in these solutions and discuss the property of wrapped KK6 and its relation to M5-brane. We also analyze the fluctuation of the M2-KK6 solution and see that it is U(1) field theory.", "revisions": [ { "version": "v2", "updated": "2011-07-14T08:33:52.000Z" } ], "analyses": { "keywords": [ "abjm theory", "wrapped kk6", "m2-kk6 system", "6d kaluza-klein monopole", "abjm membrane theory" ], "note": { "typesetting": "LaTeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 917642, "adsabs": "2011arXiv1107.2030H" } } }