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Title: Matrix regularization of classical Nambu brackets and super p-branes
Authors: Ashwinkumar, Meer 
Schmidt, Lennart 
Tan, Meng-Chwan 
Keywords: Gauge Symmetry
M(atrix) Theories
Space-Time Symmetries
Issue Date: 1-Jul-2021
Publisher: Springer Science and Business Media Deutschland GmbH
Citation: Ashwinkumar, Meer, Schmidt, Lennart, Tan, Meng-Chwan (2021-07-01). Matrix regularization of classical Nambu brackets and super p-branes. Journal of High Energy Physics 2021 (7) : 172. ScholarBank@NUS Repository.
Rights: Attribution 4.0 International
Abstract: We present an explicit matrix algebra regularization of the algebra of volume-preserving diffeomorphisms of the n-torus. That is, we approximate the corresponding classical Nambu brackets using sl(N?n2??)-matrices equipped with the finite bracket given by the completely anti-symmetrized matrix product, such that the classical brackets are retrieved in the N ? ? limit. We then apply this approximation to the super 4-brane in 9 dimensions and give a regularized action in analogy with the matrix regularization of the supermembrane. This action exhibits a reduced gauge symmetry that we discuss from the viewpoint of L?-algebras in a slight generalization to the construction of Lie 2-algebras from Bagger-Lambert 3-algebras. © 2021, The Author(s).
Source Title: Journal of High Energy Physics
ISSN: 1029-8479
DOI: 10.1007/jhep07(2021)172
Rights: Attribution 4.0 International
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