arXiv.org > hep-th > arXiv:0809.2137
High Energy Physics - Theory
Title:Toward a Proof of Montonen-Olive Duality via Multiple M2-branes
Authors:Koji Hashimoto, Ta-Sheng Tai, Seiji Terashima
(Submitted on 13 Sep 2008 (v1), last revised 15 Apr 2009 (this version, v3))
Abstract: We derive 4-dimensional N=4 U(N) supersymmetric Yang-Mills theory from a 3-dimensional Chern-Simons-matter theory with product gauge group U(N)^{2n}. The latter describes M2-branes probing an orbifold where a torus emerges in a scaling limit. It is expected that the SL(2, Z) duality of the 4-dimensional Yang-Mills theory will be shown in M-theory point of view since it is trivially realized as modular transformations of the torus. Indeed, starting from one single Chern-Simons-matter theory, we find infinitely many equivalent 4-dimensional theories differing up to T-transformation of the SL(2, Z) redefinition of the gauge coupling tau=theta/2pi + 4pi i/g^2 and a parity transformation in 4 dimensions. Although S-transformation can not be shown in our work, it is important that a part of the SL(2, Z) transformation is realized via the M2-brane action. Thus we think our work can be a step toward a proof of Montonen-Olive duality via M2-branes.
Comments: 28 pages, 2 figures, JHEP style; v2: references added; v3: published version. Abstract improved, Appendix A added forderiving the fermionic sector
Subjects: High Energy Physics - Theory (hep-th)
Journal reference: JHEP 0904:025,2009
Report number: RIKEN-TH-136, YITP-08-75
Cite as: arXiv:0809.2137 [hep-th]
(or arXiv:0809.2137v3 [hep-th] for this version)
From: Seiji Terashima [view email]
[v1] Sat, 13 Sep 2008 02:36:29 UTC (28 KB)
[v2] Tue, 7 Oct 2008 04:59:00 UTC (28 KB)
[v3] Wed, 15 Apr 2009 02:55:45 UTC (33 KB)
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