M5 from M2

By Pei-Ming Ho, Yutaka Matsuo. 2008

226 citations recorded by the source corpus.

Recently an action based on Lie 3-algebras was proposed to describe M2-branes. We study the case of infinite dimensional Lie 3-algebras based on the Nambu-Poisson structure of three dimensional manifolds. We show that the model contains self-dual 2-form gauge fields in 6 dimensions, and the result may be interpreted as the M5-brane world-volume action.

Subfields: Algebra and Number Theory, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/75f55eaa580f4b8d891b5aef98fd4d9cdaa41479

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In Algebra and Number Theory

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Citations in the corpus

Bagger-Lambert Theory for General Lie Algebras (2008, background): “Other interesting recent papers on BL theory have appeared in [26, 27, 28].”
n-ary algebras: a review with applications (2010, methodology): “We conclude by mentioning that the BLGNB model has also been conjectured to describe a single M5-brane in the strong (constant) three-form field of D = 11 supergravity, an interpretation proposed in [57, 303] and further developed in [312] and [313].”
M5-brane in three-form flux and multiple M2-branes (2008, methodology): “For example, the covariant derivative (14) of BLG model is rewritten for our case as, DλX (x, y) ≡ (∂λX(x) − gf aAλbcX d (x))χ(y) 1 In [1] it was treated as a trick (or an approximation by neglecting the irrelevant parts) to derive M5 action.”
M2 to D2 revisited (2008, methodology): “In fact, Nambu-Poisson brackets [9–13] can be viewed as infinite dimensional Lie 3-algebras, and it can be used [14] to construct an M5-brane out of infinitely many M2-branes.”