One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model
Abstract A detailed derivation of 3 + 1 dimensional induced or emergent gravity in the IKKT matrix model at one loop is given, as announced in [1]. The mechanism requires a brane configuration with structure M 3 , 1 × K ⊂ ℝ 9 , 1 $$ {\mathcal{M}}^{3,1}\times \mathcal{K}\subset {\mathbb{R}}^{9,1} $$...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2023)129 |
| _version_ | 1797736394441883648 |
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| author | Harold C. Steinacker |
| author_facet | Harold C. Steinacker |
| author_sort | Harold C. Steinacker |
| collection | DOAJ |
| description | Abstract A detailed derivation of 3 + 1 dimensional induced or emergent gravity in the IKKT matrix model at one loop is given, as announced in [1]. The mechanism requires a brane configuration with structure M 3 , 1 × K ⊂ ℝ 9 , 1 $$ {\mathcal{M}}^{3,1}\times \mathcal{K}\subset {\mathbb{R}}^{9,1} $$ , where M 3 , 1 $$ {\mathcal{M}}^{3,1} $$ is the noncommutative space-time brane, and K $$ \mathcal{K} $$ are compact fuzzy extra dimensions embedded in target space. The 3+1-dimensional Einstein-Hilbert action then arises in the one loop effective action of the maximally supersymmetric IIB or IKKT matrix model, with effective Newton constant determined by the Kaluza-Klein scale of K $$ \mathcal{K} $$ . At weak coupling, all physical modes are confined to the brane, leading to 3 + 1-dimensional low-energy physics. The Einstein-Hilbert action can be interpreted as interaction of K $$ \mathcal{K} $$ with the space-time brane via IIB supergravity. The vacuum energy does not act as cosmological constant, but stabilizes the brane structure at one loop. |
| first_indexed | 2024-03-12T13:13:08Z |
| format | Article |
| id | doaj.art-2838f39ef2d24c4eab0e539297d0d266 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T13:13:08Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2838f39ef2d24c4eab0e539297d0d2662023-08-27T11:06:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023514010.1007/JHEP05(2023)129One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix modelHarold C. Steinacker0Faculty of Physics, University of ViennaAbstract A detailed derivation of 3 + 1 dimensional induced or emergent gravity in the IKKT matrix model at one loop is given, as announced in [1]. The mechanism requires a brane configuration with structure M 3 , 1 × K ⊂ ℝ 9 , 1 $$ {\mathcal{M}}^{3,1}\times \mathcal{K}\subset {\mathbb{R}}^{9,1} $$ , where M 3 , 1 $$ {\mathcal{M}}^{3,1} $$ is the noncommutative space-time brane, and K $$ \mathcal{K} $$ are compact fuzzy extra dimensions embedded in target space. The 3+1-dimensional Einstein-Hilbert action then arises in the one loop effective action of the maximally supersymmetric IIB or IKKT matrix model, with effective Newton constant determined by the Kaluza-Klein scale of K $$ \mathcal{K} $$ . At weak coupling, all physical modes are confined to the brane, leading to 3 + 1-dimensional low-energy physics. The Einstein-Hilbert action can be interpreted as interaction of K $$ \mathcal{K} $$ with the space-time brane via IIB supergravity. The vacuum energy does not act as cosmological constant, but stabilizes the brane structure at one loop.https://doi.org/10.1007/JHEP05(2023)129M(atrix) TheoriesModels of Quantum GravityNon-Commutative Geometry |
| spellingShingle | Harold C. Steinacker One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model Journal of High Energy Physics M(atrix) Theories Models of Quantum Gravity Non-Commutative Geometry |
| title | One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model |
| title_full | One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model |
| title_fullStr | One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model |
| title_full_unstemmed | One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model |
| title_short | One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model |
| title_sort | one loop effective action and emergent gravity on quantum spaces in the ikkt matrix model |
| topic | M(atrix) Theories Models of Quantum Gravity Non-Commutative Geometry |
| url | https://doi.org/10.1007/JHEP05(2023)129 |
| work_keys_str_mv | AT haroldcsteinacker oneloopeffectiveactionandemergentgravityonquantumspacesintheikktmatrixmodel |