The polarised IKKT matrix model
Abstract We establish a correspondence between a supersymmetric mass deformation of the IKKT matrix integral at large N and a background of Euclidean type IIB string theory. Both sides have sixteen supersymmetries and an SO(3) × SO(7) symmetry. In the limit of large mass the integral is dominated by...
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| Format: | Article |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)060 |
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| author | Sean A. Hartnoll Jun Liu |
| author_facet | Sean A. Hartnoll Jun Liu |
| author_sort | Sean A. Hartnoll |
| collection | DOAJ |
| description | Abstract We establish a correspondence between a supersymmetric mass deformation of the IKKT matrix integral at large N and a background of Euclidean type IIB string theory. Both sides have sixteen supersymmetries and an SO(3) × SO(7) symmetry. In the limit of large mass the integral is dominated by a fuzzy sphere saddle point. This saddle corresponds to a Euclidean D1-brane in a finite, Euclidean, ellipsoidal cavity. The cavity is supported by three-form NSNS flux that polarises N D-instantons into the D1-brane. We furthermore use supersymmetric localisation to show that the deformed matrix integral can be reduced to a moduli space integral, allowing exact results away from the large mass limit. At small mass the D1-branes can backreact on the geometry, and we discuss the possible formulation of a ‘timeless’ holography in such regimes. |
| format | Article |
| id | doaj-art-b4e0107b849f4c2cb75c913d0f6c9ad6 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b4e0107b849f4c2cb75c913d0f6c9ad62025-08-20T03:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025316210.1007/JHEP03(2025)060The polarised IKKT matrix modelSean A. Hartnoll0Jun Liu1Department of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract We establish a correspondence between a supersymmetric mass deformation of the IKKT matrix integral at large N and a background of Euclidean type IIB string theory. Both sides have sixteen supersymmetries and an SO(3) × SO(7) symmetry. In the limit of large mass the integral is dominated by a fuzzy sphere saddle point. This saddle corresponds to a Euclidean D1-brane in a finite, Euclidean, ellipsoidal cavity. The cavity is supported by three-form NSNS flux that polarises N D-instantons into the D1-brane. We furthermore use supersymmetric localisation to show that the deformed matrix integral can be reduced to a moduli space integral, allowing exact results away from the large mass limit. At small mass the D1-branes can backreact on the geometry, and we discuss the possible formulation of a ‘timeless’ holography in such regimes.https://doi.org/10.1007/JHEP03(2025)060Gauge-Gravity CorrespondenceM(atrix) TheoriesD-BranesSupergravity Models |
| spellingShingle | Sean A. Hartnoll Jun Liu The polarised IKKT matrix model Journal of High Energy Physics Gauge-Gravity Correspondence M(atrix) Theories D-Branes Supergravity Models |
| title | The polarised IKKT matrix model |
| title_full | The polarised IKKT matrix model |
| title_fullStr | The polarised IKKT matrix model |
| title_full_unstemmed | The polarised IKKT matrix model |
| title_short | The polarised IKKT matrix model |
| title_sort | polarised ikkt matrix model |
| topic | Gauge-Gravity Correspondence M(atrix) Theories D-Branes Supergravity Models |
| url | https://doi.org/10.1007/JHEP03(2025)060 |
| work_keys_str_mv | AT seanahartnoll thepolarisedikktmatrixmodel AT junliu thepolarisedikktmatrixmodel AT seanahartnoll polarisedikktmatrixmodel AT junliu polarisedikktmatrixmodel |