{ "id": "hep-th/9712172", "version": "v3", "published": "1997-12-18T00:46:15.000Z", "updated": "1998-04-30T14:29:38.000Z", "title": "Supersymmetric Gauge Theories with Classical Groups via M Theory Fivebrane", "authors": [ "Seiji Terashima" ], "comment": "45 pages, Latex. Includes corrections to sections on Higgs branch. Minor corrections to text. Final version to appear in Nucl. Phys. B", "journal": "Nucl.Phys. B526 (1998) 163-198", "doi": "10.1016/S0550-3213(98)00279-X", "categories": [ "hep-th" ], "abstract": "We study the moduli space of vacua of four dimensional N=1 and N=2 supersymmetric gauge theories with the gauge groups $Sp(2 N_c)$, $SO(2 N_c)$ and $SO(2 N_c +1)$ using the M theory fivebrane. Higgs branches of the N=2 supersymmetric gauge theories are interpreted in terms of the M theory fivebrane and the type IIA $s$-rule is realized in it. In particular we construct the fivebrane configuration which corresponds to a special Higgs branch root. This root is analogous to the baryonic branch root in the $SU(N_c)$ theory which remains as a vacuum after the adjoint mass perturbation to break N=2 to N=1. Furthermore we obtain the monopole condensations and the meson vacuum expectation values in the confining phase of N=1 supersymmetric gauge theories using the fivebrane technique. These are in complete agreement with the field theory results for the vacua in the phase with a single confined photon.", "revisions": [ { "version": "v3", "updated": "1998-04-30T14:29:38.000Z" } ], "analyses": { "keywords": [ "supersymmetric gauge theories", "theory fivebrane", "classical groups", "meson vacuum expectation values", "special higgs branch root" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 45, "language": "en", "license": "arXiv", "status": "editable", "inspire": 452542 } } }