Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915527309393920 |
|---|---|
| author | Manta, Alessandro Steinacker, Harold C. |
| author_facet | Manta, Alessandro Steinacker, Harold C. |
| contents | We consider general $k=-1$ FLRW covariant quantum spacetimes $\mathcal{M}^{3,1} \times \mathcal{K}$ with fuzzy extra dimensions $\mathcal{K}$ as classical solutions of the IKKT matrix model. The coupled equations of motion are recast in terms of conservation laws, which allow to determine the evolution of spacetime in a transparent way. We show that $\mathcal{K}$ is stabilized as a classical solution in the presence of a large $R$ charge, corresponding to internal angular momentum. This provides a mechanism to maintain a large hierarchy between UV and IR scales. We also argue that the evolution of spacetime is determined by a balance between classical and quantum effects, leading to a cosmic scale factor $a(t) \sim t$ and constant dilaton at late times. On such a background, the undeformed IKKT model leads to a higher-spin gauge theory including gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24753 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model Manta, Alessandro Steinacker, Harold C. High Energy Physics - Theory General Relativity and Quantum Cosmology We consider general $k=-1$ FLRW covariant quantum spacetimes $\mathcal{M}^{3,1} \times \mathcal{K}$ with fuzzy extra dimensions $\mathcal{K}$ as classical solutions of the IKKT matrix model. The coupled equations of motion are recast in terms of conservation laws, which allow to determine the evolution of spacetime in a transparent way. We show that $\mathcal{K}$ is stabilized as a classical solution in the presence of a large $R$ charge, corresponding to internal angular momentum. This provides a mechanism to maintain a large hierarchy between UV and IR scales. We also argue that the evolution of spacetime is determined by a balance between classical and quantum effects, leading to a cosmic scale factor $a(t) \sim t$ and constant dilaton at late times. On such a background, the undeformed IKKT model leads to a higher-spin gauge theory including gravity. |
| title | Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.24753 |