Toward a Proof of Montonen-Olive Duality via Multiple M2-branes

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dc.creatorHashimoto, Koji
dc.creatorTai, Ta-Sheng
dc.creatorTerashima, Seiji
dc.date2008-09-13
dc.date2009-04-15
dc.date.accessioned2026-07-07T13:04:40Z
dc.date.available2026-07-07T13:04:40Z
dc.descriptionWe 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.
dc.description28 pages, 2 figures, JHEP style; v2: references added; v3: published version. Abstract improved, Appendix A added forderiving the fermionic sector
dc.identifierhttps://arxiv.org/abs/0809.2137
dc.identifierhttp://arxiv.org/abs/0809.2137
dc.identifierJHEP 0904:025,2009
dc.identifierdoi:10.1088/1126-6708/2009/04/025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227243
dc.subjectHigh Energy Physics - Theory
dc.titleToward a Proof of Montonen-Olive Duality via Multiple M2-branes
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