Matrix theory reloaded: a BPS road to holography
Abstract We revisit the decoupling limits that lead to matrix theories on D-branes. We highlight the BPS nature of these limits, in which the target space geometry becomes non-Lorentzian and wrapped D-branes experience instantaneous gravitational forces. Applied to curved D-brane geometries, we show...
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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)024 |
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| author | Chris D. A. Blair Johannes Lahnsteiner Niels A. Obers Ziqi Yan |
| author_facet | Chris D. A. Blair Johannes Lahnsteiner Niels A. Obers Ziqi Yan |
| author_sort | Chris D. A. Blair |
| collection | DOAJ |
| description | Abstract We revisit the decoupling limits that lead to matrix theories on D-branes. We highlight the BPS nature of these limits, in which the target space geometry becomes non-Lorentzian and wrapped D-branes experience instantaneous gravitational forces. Applied to curved D-brane geometries, we show that a single BPS decoupling limit induces the bulk near-horizon limit leading to AdS/CFT. By consecutively applying two such limits, we systematically generate further examples of holography, including novel versions with non-Lorentzian bulk geometry. Uplifted to M-theory, we are led to a unified framework where each BPS decoupling limit corresponds to a Discrete Light Cone Quantisation (DLCQ). We conjecture that a DLCQ n /DLCQ m correspondence, with m > n, captures the notion of holography in string theory. In particular, AdS5/CFT4 can be viewed as an example of DLCQ0/DLCQ1, with the extra DLCQ on the field theory side corresponding to the near-horizon limit in the bulk geometry. We further show that undoing these BPS decoupling limits can be viewed as deformations of matrix theories. We explain how these deformations are related to the T T ¯ $$ T\overline{T} $$ deformation in two dimensions. In the context of holography, this allows us to view the ten-dimensional near-horizon brane geometry as an intrinsic deformation of the flat non-Lorentzian geometry that arises asymptotically. In field theoretic terms, these generalisations lead to T T ¯ $$ T\overline{T} $$ -like flow equations for the Dp-brane DBI action. |
| format | Article |
| id | doaj-art-d16670f3a52c49b193dec5dfa7161952 |
| 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-d16670f3a52c49b193dec5dfa71619522025-02-09T12:08:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025218310.1007/JHEP02(2025)024Matrix theory reloaded: a BPS road to holographyChris D. A. Blair0Johannes Lahnsteiner1Niels A. Obers2Ziqi Yan3Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridNordita, KTH Royal Institute of Technology and Stockholm UniversityNordita, KTH Royal Institute of Technology and Stockholm UniversityNordita, KTH Royal Institute of Technology and Stockholm UniversityAbstract We revisit the decoupling limits that lead to matrix theories on D-branes. We highlight the BPS nature of these limits, in which the target space geometry becomes non-Lorentzian and wrapped D-branes experience instantaneous gravitational forces. Applied to curved D-brane geometries, we show that a single BPS decoupling limit induces the bulk near-horizon limit leading to AdS/CFT. By consecutively applying two such limits, we systematically generate further examples of holography, including novel versions with non-Lorentzian bulk geometry. Uplifted to M-theory, we are led to a unified framework where each BPS decoupling limit corresponds to a Discrete Light Cone Quantisation (DLCQ). We conjecture that a DLCQ n /DLCQ m correspondence, with m > n, captures the notion of holography in string theory. In particular, AdS5/CFT4 can be viewed as an example of DLCQ0/DLCQ1, with the extra DLCQ on the field theory side corresponding to the near-horizon limit in the bulk geometry. We further show that undoing these BPS decoupling limits can be viewed as deformations of matrix theories. We explain how these deformations are related to the T T ¯ $$ T\overline{T} $$ deformation in two dimensions. In the context of holography, this allows us to view the ten-dimensional near-horizon brane geometry as an intrinsic deformation of the flat non-Lorentzian geometry that arises asymptotically. In field theoretic terms, these generalisations lead to T T ¯ $$ T\overline{T} $$ -like flow equations for the Dp-brane DBI action.https://doi.org/10.1007/JHEP02(2025)024AdS-CFT CorrespondenceD-BranesGauge-Gravity CorrespondenceM(atrix) Theories |
| spellingShingle | Chris D. A. Blair Johannes Lahnsteiner Niels A. Obers Ziqi Yan Matrix theory reloaded: a BPS road to holography Journal of High Energy Physics AdS-CFT Correspondence D-Branes Gauge-Gravity Correspondence M(atrix) Theories |
| title | Matrix theory reloaded: a BPS road to holography |
| title_full | Matrix theory reloaded: a BPS road to holography |
| title_fullStr | Matrix theory reloaded: a BPS road to holography |
| title_full_unstemmed | Matrix theory reloaded: a BPS road to holography |
| title_short | Matrix theory reloaded: a BPS road to holography |
| title_sort | matrix theory reloaded a bps road to holography |
| topic | AdS-CFT Correspondence D-Branes Gauge-Gravity Correspondence M(atrix) Theories |
| url | https://doi.org/10.1007/JHEP02(2025)024 |
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