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A Lorentz covariant matrix model for bosonic M2-branes: Nambu brackets and restricted volume-preserving deformations.

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Title: A Lorentz covariant matrix model for bosonic M2-branes: Nambu brackets and restricted volume-preserving deformations.
Authors: Katagiri, So1 (AUTHOR) So.Katagiri@gmail.com
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 5/10/2026, Vol. 41 Issue 13, p1-29. 29p.
Subjects: Branes, Diffeomorphisms, Supergravity
Abstract: In this paper, we propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symmetry-based constructions, our model retains full 11-dimensional Lorentz invariance by introducing a novel gauge-fixing condition that restricts the symmetry of volume-preserving deformations (VPDs) to a subclass, which we call restricted VPD (RVPD). This restriction enables a consistent matrix regularization of the Nambu bracket, bypassing the long-standing obstructions related to the Leibniz rule and the fundamental identity. The resulting model exhibits RVPD symmetry, admits particle-like and noncommutative membrane solutions, and lays the foundation for a Lorentz-invariant, nonperturbative matrix description of M2-branes. Our work offers a new paradigm for constructing Lorentz-invariant matrix models of membranes, revisiting the algebraic structure underlying M-theory. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 193530255
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: A Lorentz covariant matrix model for bosonic M2-branes: Nambu brackets and restricted volume-preserving deformations.
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  Data: <searchLink fieldCode="AR" term="%22Katagiri%2C+So%22">Katagiri, So</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> So.Katagiri@gmail.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Branes%22">Branes</searchLink><br /><searchLink fieldCode="DE" term="%22Diffeomorphisms%22">Diffeomorphisms</searchLink><br /><searchLink fieldCode="DE" term="%22Supergravity%22">Supergravity</searchLink>
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  Data: In this paper, we propose a Lorentz covariant matrix model as a nonperturbative formulation of the bosonic M2-brane in M-theory. Unlike previous approaches relying on the light-cone gauge or symmetry-based constructions, our model retains full 11-dimensional Lorentz invariance by introducing a novel gauge-fixing condition that restricts the symmetry of volume-preserving deformations (VPDs) to a subclass, which we call restricted VPD (RVPD). This restriction enables a consistent matrix regularization of the Nambu bracket, bypassing the long-standing obstructions related to the Leibniz rule and the fundamental identity. The resulting model exhibits RVPD symmetry, admits particle-like and noncommutative membrane solutions, and lays the foundation for a Lorentz-invariant, nonperturbative matrix description of M2-branes. Our work offers a new paradigm for constructing Lorentz-invariant matrix models of membranes, revisiting the algebraic structure underlying M-theory. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1142/S0217751X26500831
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      – Code: eng
        Text: English
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        PageCount: 29
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    Subjects:
      – SubjectFull: Branes
        Type: general
      – SubjectFull: Diffeomorphisms
        Type: general
      – SubjectFull: Supergravity
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      – TitleFull: A Lorentz covariant matrix model for bosonic M2-branes: Nambu brackets and restricted volume-preserving deformations.
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              Text: 5/10/2026
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              Y: 2026
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            – TitleFull: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
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