A No-Go Theorem for M5-brane Theory
arXiv:1001.3244 · doi:10.1007/JHEP03(2010)104
Abstract
The BLG model for multiple M2-branes motivates an M5-brane theory with a novel gauge symmetry defined by the Nambu-Poisson structure. This Nambu-Poisson gauge symmetry for an M5-brane in large C-field background can be matched, on double dimension reduction, with the Poisson limit of the noncommutative gauge symmetry for a D4-brane in B-field background. Naively, one expects that there should exist a certain deformation of the Nambu-Poisson structure to match with the full noncommutative gauge symmetry including higher order terms. However, We prove the no-go theorem that there is no way to deform the Nambu-Poisson gauge symmetry, even without assuming the existence of a deformation of Nambu-Poisson bracket, to match with the noncommutative gauge symmetry in 4+1 dimensions to all order, regardless of how the double dimension reduction is implemented.
v4: minor modifications.
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- An associative star-three-product and applications to M two/M five-brane theory
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- Supersymmetry and BPS States on D4-brane in Large C-field Background
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- Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
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- The non-Abelian tensor multiplet
- Five-dimensional super Yang-Mills theory from ABJM theory
- Aspects of Supersymmetry in Multiple Membrane Theories