{ "id": "hep-th/9703118", "version": "v2", "published": "1997-03-17T11:20:00.000Z", "updated": "1997-03-23T11:02:33.000Z", "title": "BPS bound states, supermembranes, and T-duality in M-theory", "authors": [ "J. G. Russo" ], "comment": "Expanded; additional equations and explanations, added figure on T-duality on 2-torus and a correction in figure 2. Latex, 42 pages. Lectures given at the APCTP Winter School \"Dualities of Gauge and String Theories\", Korea, February 1997", "categories": [ "hep-th" ], "abstract": "This is an introductory review on the eleven-dimensional description of the BPS bound states of type II superstring theories, and on the role of supermembranes in M-theory. The first part describes classical solutions of 11d supergravity which upon dimensional reduction and T-dualities give bound states of NS-NS and R-R p-branes of type IIA and IIB string theories. In some cases (e.g. (q_1,q_2) string bound states of type IIB string theory), these non-perturbative objects admit a simple eleven-dimensional description in terms of a fundamental 2-brane. The BPS excitations of such 2-brane are calculated and shown to exactly match the mass spectrum for the BPS (q_1,q_2) string bound states. Different 11d representations of the same bound state can be used to provide inequivalent (T-dual) descriptions of the oscillating BPS states. This permits to test T-duality beyond perturbation theory and, in certain cases, to evade membrane instabilities by going to a stable T-dual representation. We finally summarize the results indicating in what regions of the modular parameter space a supermembrane description for M-theory on R^9 x T^2 seems to be adequate.", "revisions": [ { "version": "v2", "updated": "1997-03-23T11:02:33.000Z" } ], "analyses": { "keywords": [ "bps bound states", "string bound states", "modular parameter space", "simple eleven-dimensional description", "type iib string theory" ], "tags": [ "lecture notes" ], "note": { "typesetting": "LaTeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "inspire": 441275, "adsabs": "1997hep.th....3118R" } } }