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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.07259 |
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| _version_ | 1866909780848672768 |
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| author | Katagiri, So |
| author_facet | Katagiri, So |
| contents | We present a novel supersymmetric Lorentz-covariant matrix model for M2-branes in M-theory, constructed via the framework of Restricted Volume-Preserving Deformations (RVPD) which is a residual symmetry from gauge-fixed volume-preserving diffeomorphisms. The model reformulates the supermembrane action entirely in terms of Nambu brackets, whose decomposition into Poisson brackets allows for a consistent matrix regularization that preserves both the Fundamental Identity and Lorentz covariance. Under the RVPD gauge structure, $κ$-symmetry is reduced to a restricted form ($\tildeκ$) that closes with RVPD transformations into a novel symmetry algebra. This algebra enables a systematic classification of BPS configurations: particle states (1/2-BPS), noncommutative membranes (1/4-BPS), and extended configurations in 4, 6, and 8 dimensions (1/8-, 1/16-, and 1/32-BPS), while the 10-dimensional case is non-BPS. The construction provides a natural lift of D2-brane matrix theory to M-theory and offers a pathway toward Lorentz-covariant matrix models for higher branes such as M5-branes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric M2-Brane Matrix Model with Restricted Volume-Preserving Deformations: Lorentz Covariance and BPS Spectrum Katagiri, So High Energy Physics - Theory We present a novel supersymmetric Lorentz-covariant matrix model for M2-branes in M-theory, constructed via the framework of Restricted Volume-Preserving Deformations (RVPD) which is a residual symmetry from gauge-fixed volume-preserving diffeomorphisms. The model reformulates the supermembrane action entirely in terms of Nambu brackets, whose decomposition into Poisson brackets allows for a consistent matrix regularization that preserves both the Fundamental Identity and Lorentz covariance. Under the RVPD gauge structure, $κ$-symmetry is reduced to a restricted form ($\tildeκ$) that closes with RVPD transformations into a novel symmetry algebra. This algebra enables a systematic classification of BPS configurations: particle states (1/2-BPS), noncommutative membranes (1/4-BPS), and extended configurations in 4, 6, and 8 dimensions (1/8-, 1/16-, and 1/32-BPS), while the 10-dimensional case is non-BPS. The construction provides a natural lift of D2-brane matrix theory to M-theory and offers a pathway toward Lorentz-covariant matrix models for higher branes such as M5-branes. |
| title | Supersymmetric M2-Brane Matrix Model with Restricted Volume-Preserving Deformations: Lorentz Covariance and BPS Spectrum |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.07259 |