On the Origin of the $SO(9) \rightarrow SO(3) \times SO(6)$ Symmetry Breaking in the IKKT Matrix Model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929481650798592 |
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| author | Brandenberger, Robert Pasiecznik, Julia |
| author_facet | Brandenberger, Robert Pasiecznik, Julia |
| contents | We suggest a dynamical mechanism which explains why in the supersymmetric IKKT matrix model the $SO(9)$ symmetry of the Lagrangian is spontaneously broken to $SO(3) \times SO(6)$, allowing only three large classical spatial dimensions to emerge. The argument relies on the identification of D1-strings as stable excitations of the matrices about the cosmological background, and the absence of forces between parallel D1-string excitations. A spatial dimension can only become large if the D1-strings winding that direction can annihilate. In the absence of forces, this requires the string world sheets to intersect, a process which is highly suppressed if more than three dimensions of space are large. Implications for a recently proposed matrix cosmology scenario are discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_00254 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Origin of the $SO(9) \rightarrow SO(3) \times SO(6)$ Symmetry Breaking in the IKKT Matrix Model Brandenberger, Robert Pasiecznik, Julia High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology We suggest a dynamical mechanism which explains why in the supersymmetric IKKT matrix model the $SO(9)$ symmetry of the Lagrangian is spontaneously broken to $SO(3) \times SO(6)$, allowing only three large classical spatial dimensions to emerge. The argument relies on the identification of D1-strings as stable excitations of the matrices about the cosmological background, and the absence of forces between parallel D1-string excitations. A spatial dimension can only become large if the D1-strings winding that direction can annihilate. In the absence of forces, this requires the string world sheets to intersect, a process which is highly suppressed if more than three dimensions of space are large. Implications for a recently proposed matrix cosmology scenario are discussed. |
| title | On the Origin of the $SO(9) \rightarrow SO(3) \times SO(6)$ Symmetry Breaking in the IKKT Matrix Model |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.00254 |