Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909603903569920 |
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| author | Dutta, S. Rasulian, I. M. Sheikh-Jabbari, M. M. Yavartanoo, H. |
| author_facet | Dutta, S. Rasulian, I. M. Sheikh-Jabbari, M. M. Yavartanoo, H. |
| contents | We study null $p$-branes, $p$-branes with a Carrollian $p+1$-dimensional worldvolume embedded in a generic $D$-dimensional flat Minkowski target space. This theory has a generalized BMS$_{p+1}$ gauge symmetry. By fixing the light-cone gauge, the BMS symmetry is partly fixed, leaving $p$ ``momentum constraints'' alongside $p$-dimensional area-preserving diffeomorphisms. We quantize the theory in the light-cone gauge via canonical quantization and construct the physical Hilbert space by imposing the remaining constraints using sandwich conditions: the constraints must vanish when sandwiched between any two physical states. We show that solutions to the sandwich conditions are classified into $p+1$ distinct classes, which we completely specify. In addition, we discuss special and interesting case of membranes in four dimensions and examine the physical implications of the quantized null $p$-brane and its associated physical Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space Dutta, S. Rasulian, I. M. Sheikh-Jabbari, M. M. Yavartanoo, H. High Energy Physics - Theory We study null $p$-branes, $p$-branes with a Carrollian $p+1$-dimensional worldvolume embedded in a generic $D$-dimensional flat Minkowski target space. This theory has a generalized BMS$_{p+1}$ gauge symmetry. By fixing the light-cone gauge, the BMS symmetry is partly fixed, leaving $p$ ``momentum constraints'' alongside $p$-dimensional area-preserving diffeomorphisms. We quantize the theory in the light-cone gauge via canonical quantization and construct the physical Hilbert space by imposing the remaining constraints using sandwich conditions: the constraints must vanish when sandwiched between any two physical states. We show that solutions to the sandwich conditions are classified into $p+1$ distinct classes, which we completely specify. In addition, we discuss special and interesting case of membranes in four dimensions and examine the physical implications of the quantized null $p$-brane and its associated physical Hilbert space. |
| title | Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.12436 |