Toward a proof of Montonen-Olive duality via multiple M2-branes

Hashimoto, Koji; Tai, Ta-Sheng; Terashima, Shiro

doi:10.1088/1126-6708/2009/04/025

Cited by 9 publications

(14 citation statements)

References 30 publications

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“…However, such terms should be important and correspond to topological terms. Indeed, in the construction of the usual D3-branes [25] from the orbifolded ABJM action [26]- [29], such term gives the correct θ-term on the D3-branes.…”

Section: Jhep03(2011)036 4 Discussionmentioning

confidence: 99%

On effective action of multiple M5-branes and ABJM action

Terashima

Yagi

2011

J. High Energ. Phys.

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Abstract:We calculate the fluctuations from the classical multiple M5-brane solution of ABJM action which we found in the previous paper. We obtain D4-brane-like action but the gauge coupling constant depends on the spacetime coordinate. This is consistent with the expected properties of M5-brane action, although we will need to take into account the monopole operators in order to fully understand M5-branes. We also see that the Nambu-Poisson bracket is hidden in the solution.

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Section: Jhep03(2011)036 4 Discussionmentioning

confidence: 99%

On effective action of multiple M5-branes and ABJM action

Terashima

Yagi

2011

J. High Energ. Phys.

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“…We also investigate the scaling limit of various quiver CS theories obtained from different orbifoldings of the ABJM action. Moreover, we examine the SL(2, Z) transformations after the reduction to the D3-brane theory and revisit the consideration given in [15]. Remarkably, starting from the N = 2 quiver CS theories, the result is slightly different from the N = 4 case.…”

Section: Introductionmentioning

confidence: 97%

“…Remarkably, starting from the N = 2 quiver CS theories, the result is slightly different from the N = 4 case. In the N = 4 case, as in [15], the complexified coupling constant τ of the resultant D3-brane action depends on only one real parameter. However, in the N = 2 case, an additional degree of freedom appears, and therefore, we can cover a larger space of the complex structure moduli.…”

Section: Introductionmentioning

confidence: 99%

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Quiver Chern-Simons Theories, D3-Branes, and Lorentzian Lie 3-Algebras

Honma

Zhang

2010

Progress of Theoretical Physics

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We show that the Bagger-Lambert-Gustavsson (BLG) theory with two pairs of negative norm generators is derived from the scaling limit of an orbifolded Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The BLG theory with many Lorentzian pairs is known to be reduced to the Dp-brane theory via the Higgs mechanism, so our scaling procedure can be used to derive Dp-branes directly from M2-branes in the field theory language. In this paper, we focus on the D3-brane case and investigate the scaling limits of various quiver Chern-Simons theories obtained from different orbifolding actions. Remarkably, in the case of N = 2 quiver CS theories, the resulting D3-brane action covers a larger region in the parameter space of the complex structure moduli than the N = 4 quiver CS theories. We also investigate how the SL(2, Z) duality transformation is realized in the resultant D3-brane theory.Recently, there has been a lot of activities in superconformal Chern-Simons matter theories.They have arisen from searching the low energy effective action of multiple M2-branes. In [1], the action of an arbitrary number of multiple M2-branes was proposed by Aharony, Bergman, Jafferis, and Maldacena. It is an N = 6 superconformal U (N ) × U (N ) Chern-Simons matter theory, and the level of Chern-Simons term is (k, −k). This ABJM theory has moduli space Sym N (C 4 /Z k ) and, therefore, is considered to describe N M2-branes on an orbifold C 4 /Z k . On the other hand, triggered by the works of Bagger and Lambert [2] and Gustavsson [3], remarkable progress has also been achieved. The novelty is the appearance of new gauge structure, Lie 3algebra. The BLG theory based on the Lie 3-algebra also has appropriate symmetries as the effective theory of multiple M2-branes, and under a particular realization of 3-algebra, the BLG theory actually coincides with the ABJM theory [4]. Furthermore, in [5] (see also [6,7,8]), it was shown that the Lorentzian BLG (L-BLG) theory [9, 10, 11] based on the 3-algebracan be derived by taking a scaling limit of the ABJM theory. Because the L-BLG theory is reduced to the ordinary (2+1)d SYM via the Higgs mechanism, we can use this scaling procedure as a tool to obtain D2-branes directly from the ABJM theory in the field theory language. The L-BLG theory was later generalized in [12,13,14] by involving additional pairs of negative norm generators. In [12], it was shown that this Extended L-BLG theory gives Dp-brane action whose worldvolume is compactified on torus T d (d = p − 2). Noting the fact that the Extended Lorentzian Lie 3-algebra can be regarded as the original 3-algebra (1.1) where the Lie algebra is replaced by the loop algebra, it is quite natural to expect that even the Extended L-BLG theory may be obtained from ABJM-like theory. Then, what type of model should we start from? The hint is given in [15]. They showed that the D3-branes action can be derived from a particular quiver Chern-Simons theory obtained by orbifolding the ABJM action. Because the Extended L-BLG theory with two Lorentzian pairs is als...

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“…Therefore, the relation between M2-branes and D2-branes are clarified in the viewpoint of the worldvolume theories [13][14][15] (see also [16,17]). In addition, when we start from the extended Lorentzian BLG theory [7,8] or the orbifolded ABJM theory [18,19], we obtain Dp-branes whose worldvolume is a flat torus T p−2 bundle over the membrane worldvolume. In these cases, the moduli of torus compactification of M-theory is properly realized, and the U-duality transformation can be expressed in terms of Lie 3-algebra or the quiver of Lie groups.…”

Section: Introductionmentioning

confidence: 99%

Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra

Honma

Ogawa

Shiba

2011

J. High Energ. Phys.

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We derive the super Yang-Mills action of Dp-branes on a torus T p−4 from the nonabelian (2, 0) theory with Lie 3-algebra [1]. Our realization is based on Lie 3-algebra with pairs of Lorentzian metric generators. The resultant theory then has negative norm modes, but it results in a unitary theory by setting VEV's of these modes. This procedure corresponds to the torus compactification, therefore by taking a transformation which is equivalent to T-duality, the Dp-brane action is obtained. We also study type IIA/IIB NS5-brane and Kaluza-Klein monopole systems by taking other VEV assignments. Such various compactifications can be realized in the nonabelian (2, 0) theory, since both longitudinal and transverse directions can be compactified, which is different from the BLG theory. We finally discuss U-duality among these branes, and show that most of the moduli parameters in U-duality group are recovered. Especially in D5-brane case, the whole U-duality relation is properly reproduced.

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Toward a proof of Montonen-Olive duality via multiple M2-branes

Cited by 9 publications

References 30 publications

On effective action of multiple M5-branes and ABJM action

On effective action of multiple M5-branes and ABJM action

Quiver Chern-Simons Theories, D3-Branes, and Lorentzian Lie 3-Algebras

Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra

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