hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model
Abstract We elaborate further on the one-loop effective action of the IKKT model on 3 + 1 dimensional covariant quantum spacetime in the presence of fuzzy extra dimensions. In particular, we describe the one-loop effective action in terms of a remarkable SO(1, 9) character, which allows to evaluate...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)031 |
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| author | Alessandro Manta Harold C. Steinacker Tung Tran |
| author_facet | Alessandro Manta Harold C. Steinacker Tung Tran |
| author_sort | Alessandro Manta |
| collection | DOAJ |
| description | Abstract We elaborate further on the one-loop effective action of the IKKT model on 3 + 1 dimensional covariant quantum spacetime in the presence of fuzzy extra dimensions. In particular, we describe the one-loop effective action in terms of a remarkable SO(1, 9) character, which allows to evaluate the pertinent traces over the internal modes explicitly. This also allows to estimate the higher-order contributions (in the internal flux F IJ $$ {\mathcal{F}}_{\textrm{IJ}} $$ ) to the one-loop effective action in a systematic way. We show that all higher-order contributions are generally suppressed and UV finite, which justifies the previous treatment of the induced gravitational action. We also obtain explicit expressions for the effective Newton constant, and determine the dynamics of the Kaluza-Klein scale ∆ K $$ {\Delta }_{\mathcal{K}} $$ of the fuzzy extra dimensions K $$ \mathcal{K} $$ . |
| format | Article |
| id | doaj-art-a030639133dd46c185619954ee41192e |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a030639133dd46c185619954ee41192e2025-02-09T12:08:31ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025213410.1007/JHEP02(2025)031hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix modelAlessandro Manta0Harold C. Steinacker1Tung Tran2Department of Physics, University of ViennaDepartment of Physics, University of ViennaDepartment of Physics, University of ViennaAbstract We elaborate further on the one-loop effective action of the IKKT model on 3 + 1 dimensional covariant quantum spacetime in the presence of fuzzy extra dimensions. In particular, we describe the one-loop effective action in terms of a remarkable SO(1, 9) character, which allows to evaluate the pertinent traces over the internal modes explicitly. This also allows to estimate the higher-order contributions (in the internal flux F IJ $$ {\mathcal{F}}_{\textrm{IJ}} $$ ) to the one-loop effective action in a systematic way. We show that all higher-order contributions are generally suppressed and UV finite, which justifies the previous treatment of the induced gravitational action. We also obtain explicit expressions for the effective Newton constant, and determine the dynamics of the Kaluza-Klein scale ∆ K $$ {\Delta }_{\mathcal{K}} $$ of the fuzzy extra dimensions K $$ \mathcal{K} $$ .https://doi.org/10.1007/JHEP02(2025)031M(atrix) TheoriesModels of Quantum GravitySupersymmetric Gauge Theory |
| spellingShingle | Alessandro Manta Harold C. Steinacker Tung Tran hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model Journal of High Energy Physics M(atrix) Theories Models of Quantum Gravity Supersymmetric Gauge Theory |
| title | hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model |
| title_full | hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model |
| title_fullStr | hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model |
| title_full_unstemmed | hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model |
| title_short | hs $$ \mathfrak{hs} $$ -extended gravity from the IKKT matrix model |
| title_sort | hs mathfrak hs extended gravity from the ikkt matrix model |
| topic | M(atrix) Theories Models of Quantum Gravity Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP02(2025)031 |
| work_keys_str_mv | AT alessandromanta hsmathfrakhsextendedgravityfromtheikktmatrixmodel AT haroldcsteinacker hsmathfrakhsextendedgravityfromtheikktmatrixmodel AT tungtran hsmathfrakhsextendedgravityfromtheikktmatrixmodel |