D2 to M2 procedure for D2-brane DBI effective action

Klusoň, Josef

doi:10.1016/j.nuclphysb.2008.09.028

Cited by 15 publications

(12 citation statements)

References 137 publications

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“…We have not found a natural ansatz for the non-linear generalization of the ABJM models, so we will not discuss them in this paper. Some studies of non-linear Lagrangians for M2 branes, which do not overlap with this paper, are in [25,26]. It would also be interesting to understand the non-linear theory for the Bagger-Lambert construction based on the Nambu-bracket [27,28,29,30].…”

Section: Introductionmentioning

confidence: 92%

Non-linear theory for multiple M2 branes

Iengo

Russo

2008

J. High Energy Phys.

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We present a manifestly SO(8) invariant non-linear Lagrangian for describing the non-abelian dynamics of the bosonic degrees of freedom of N coinciding M2 branes in flat spacetime. The theory exhibits a gauge symmetry structure of the BF type (semidirect product of SU (N ) and translations) and at low energies it reduces exactly to the bosonic part of the Lorentzian Bagger-Lambert Lagrangian for group SU (N ). There are eight scalar fields satisfying a free-scalar equation. When one of them takes a large expectation value, the non-linear Lagrangian gets simplified and the theory can be connected to the non-abelian Lagrangian describing the dynamics of N coinciding D2 branes. As an application, we show that the BPS fuzzy funnel solution describing M2 branes ending into a single M5 brane is an exact solution of the non-linear system.

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Section: Introductionmentioning

confidence: 92%

Non-linear theory for multiple M2 branes

Iengo

Russo

2008

J. High Energy Phys.

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“…This fact suggests that the proposed M3-brane action could be starting point for its non-abelian generalization. It would be also really interesting to perform the same procedure as in paper [60] in this M3-brane action and try to find the relation with recent works [58,59].…”

Section: Resultsmentioning

confidence: 87%

Note about unstable M3-brane action

Klusoň

2009

Phys. Rev. D

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Abstract:We construct an action for unstable M3-brane in M-theory. We argue that in order to find M3-brane action that upon direct dimensional reduction leads to non-BPS D3-brane action in type IIA theory we have to presume that the background possesses Killing isometry and that this isometry has to be gauged on the world-volume of M3-brane. Then we construct singular tachyon kink on world-volume of M3-brane and we show that the dynamics of resulting topological defect is governed by an action that upon direct dimensional reduction leads to D2-brane in type IIA theory and that is equivalent to standard M2-brane action in flat background.

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“…Even though the ABJM theory has only AT = 6 supersymmetry, it is expected that its supersymmetry might get enhanced to full A f -8 supersymmetry [39][40][41][42]. It is also possible to use a Mukhi-Papageorgakis novel Higgs mechanism to obtain a theory of multiple D2-branes from a theory of multiple M2-branes [43][44][45][46], The gauge sector for the low energy action of multiple D2-branes is described by a super-Yang-Mills theory. As it is known that certain unstable string theory vacuum states break Lorentz symmetry [1] and [2], it will be interesting to analyze the action of multiple D2-branes in SIM (1) superspace.…”

Section: Discussionmentioning

confidence: 99%

“…Thus, we have been able to write the action of super-Yang-Mills theory coupled to matter fields in SIM(l) superspace.The actions Eqs (46). and (49) contain nonlocal operator , but that does not mean that they describe nonlocal theory.…”

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confidence: 99%

Super-Yang-Mills theory inSIM(1)superspace

Vohánka

Faizal

2015

Phys. Rev. D

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In this paper, we will analyze three-dimensional supersymmetric Yang-Mills theory coupled to matter fields in S1M{ 1) superspace formalism. The original theory which is invariant under the full Lorentz group has AT = 1 supersymmetry. However, when we break the Lorentz symmetry down to SIM( 1) group, the SIM(l) superspace will break half the supersymmetry of the original theory. Thus, the resultant theory in SIM( 1) superspace will have Af = 1/2 supersymmetry. This is the first time that A f = 1 supersymmetry will be broken down to A f = 1/2 supersymmetry, for a three-dimensional theory, on a manifold without a boundary. This is because it is not possible to use nonanticommutativity to break A f = 1 supersymmetry down to A f = 1/2 supersymmetry in three dimensions.

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D2 to M2 procedure for D2-brane DBI effective action

Cited by 15 publications

References 137 publications

Non-linear theory for multiple M2 branes

Non-linear theory for multiple M2 branes

Note about unstable M3-brane action

Super-Yang-Mills theory inSIM(1)superspace

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