The M2–M5 brane system and a generalized Nahm's equation

It is known that the M2-brane worldvolume superalgebra includes two p-form central charges that encode the M-theory intersections involving M2-branes. In this paper we show by explicit computation that the Bagger-Lambert Lagrangian realizes the M2-brane superalgebra, including also the central extensions. Solitons of the Bagger-Lambert theory, that are interpreted as worldvolume realizations of intersecting branes, are shown to saturate a BPS-bound given in terms of the corresponding central charge. 06/2008fpasserini@perimeterinstitute.ca

Section: Introduction and Discussionmentioning

confidence: 68%

M2-brane superalgebra from Bagger-Lambert theory

Passerini¹

2008

“…Another thing that could be interesting to check is whether the generalized Nahm equation for the self-dual string, that was proposed in [14], can be related to the Nahm equation [15] via the Hopf map, in a similar fashion as we have related the Bogomolnyi equations to each other in this paper.…”

Section: Jhep12(2006)066mentioning

confidence: 75%

Loop space, (2,0) theory, and solitonic strings

Gustavsson¹

2006

We present an interacting action that lives in loop space, and we argue that this is a generalization of the theory for a free tensor multiplet. From this action we derive the Bogomolnyi equation corresponding to solitonic strings. Using the Hopf map, we find a correspondence between BPS strings and BPS monopoles in four-dimensional super Yang-Mills theory. This enable us to find explicit BPS saturated solitonic string solutions.

“…The work of Bagger and Lambert [1][2] [3], and Gustavsson [4] [5], following earlier work [6] [7], showed that a manifestly supersymmetric and SO (8) invariant Lagrangian can be constructed given a "three-algebra," a generalization of a Lie algebra based on an antisymmetric triple product structure. It seemed plausible that the worldvolume theory of coincident M2-branes should lie somewhere in this class of theories.…”

Section: Introductionmentioning

confidence: 99%

“…We show that the combined action is symmetric under a BRST 5 The details of the orbifold depend on a discrete parameter that is present in the theory, the level associated with a Chern-Simons term. 6 The fact that the algebras in [13][14] [15] are the unique undecomposable three-algebras has been proven in [17].…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric Yang-Mills theory from lorentzian three-algebras

Gomis

Rodrı́guez-Gómez

Raamsdonk

et al. 2008

We show that by adding a supersymmetric Faddeev-Popov ghost sector to the recently constructed Bagger-Lambert theory based on a Lorentzian three algebra, we obtain an action with a BRST symmetry that can be used to demonstrate the absence of negative norm states in the physical Hilbert space. We show that the combined theory, expanded about its trivial vacuum, is BRST equivalent to a trivial theory, while the theory with a vev for one of the scalars associated with a null direction in the three-algebra is equivalent to a reformulation of maximally supersymmetric 2+1 dimensional Yang-Mills theory in which there a formal SO(8) superconformal invariance.