Fundamental membranes and the string dilaton
Abstract We study the quantization of the bosonic sector of supermembrane theory in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely kinematic reduction). Our construction relies on a Po...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)219 |
| _version_ | 1811236369292328960 |
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| author | Krzysztof A. Meissner Hermann Nicolai |
| author_facet | Krzysztof A. Meissner Hermann Nicolai |
| author_sort | Krzysztof A. Meissner |
| collection | DOAJ |
| description | Abstract We study the quantization of the bosonic sector of supermembrane theory in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely kinematic reduction). Our construction relies on a Polyakov-type approach with all six metric components on the world-volume as independent quantum fields, and shows that the correct and unique answer is only obtained if the target-space dimension of the theory is restricted to the critical value (D = 11 for the supermembrane). As a corollary, our analysis implies that there are no analogs of the non-critical string for (super-)membrane theory. |
| first_indexed | 2024-04-12T12:07:55Z |
| format | Article |
| id | doaj.art-54e8901696ec4b48b092695ef5f044cc |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T12:07:55Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-54e8901696ec4b48b092695ef5f044cc2022-12-22T03:33:40ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022911510.1007/JHEP09(2022)219Fundamental membranes and the string dilatonKrzysztof A. Meissner0Hermann Nicolai1Faculty of Physics, University of WarsawMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Abstract We study the quantization of the bosonic sector of supermembrane theory in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely kinematic reduction). Our construction relies on a Polyakov-type approach with all six metric components on the world-volume as independent quantum fields, and shows that the correct and unique answer is only obtained if the target-space dimension of the theory is restricted to the critical value (D = 11 for the supermembrane). As a corollary, our analysis implies that there are no analogs of the non-critical string for (super-)membrane theory.https://doi.org/10.1007/JHEP09(2022)219Bosonic StringsM-Theory |
| spellingShingle | Krzysztof A. Meissner Hermann Nicolai Fundamental membranes and the string dilaton Journal of High Energy Physics Bosonic Strings M-Theory |
| title | Fundamental membranes and the string dilaton |
| title_full | Fundamental membranes and the string dilaton |
| title_fullStr | Fundamental membranes and the string dilaton |
| title_full_unstemmed | Fundamental membranes and the string dilaton |
| title_short | Fundamental membranes and the string dilaton |
| title_sort | fundamental membranes and the string dilaton |
| topic | Bosonic Strings M-Theory |
| url | https://doi.org/10.1007/JHEP09(2022)219 |
| work_keys_str_mv | AT krzysztofameissner fundamentalmembranesandthestringdilaton AT hermannnicolai fundamentalmembranesandthestringdilaton |