Superluminal Liouville walls in 2d String Theory and space-like singularities
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914039725031424 |
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| author | Das, Sumit R. Hampton, Shaun D. Liu, Sinong |
| author_facet | Das, Sumit R. Hampton, Shaun D. Liu, Sinong |
| contents | An interesting class of time dependent backgrounds in $1+1$ dimensional string theory involves worldsheet Liouville walls which move in (target space) time. When a parameter in such a background exceeds a certain critical value, the speed of the Liouville wall exceeds the speed of light, and there is no usual S-Matrix. We examine such backgrounds in the dual $c=1$ matrix model from the point of view of fluctuations of the collective field, and determine the nature of the emergent space-time perceived by these fluctuations. We show that so long as the corresponding Liouville wall remains time-like, the emergent space time is conformal to full Minkowski space with a time-like wall. However, for the cases where the Liouville wall is superluminal, the emergent space-time has a {\em space-like boundary} where the collective field couplings diverge. This appears as a space-like singularity in perturbative collective field theory. We comment on the necessity of incorporating finite $N$, as well as finite (double-scaled) coupling, effects to understand the behavior of the exact theory near this boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12778 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superluminal Liouville walls in 2d String Theory and space-like singularities Das, Sumit R. Hampton, Shaun D. Liu, Sinong High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology An interesting class of time dependent backgrounds in $1+1$ dimensional string theory involves worldsheet Liouville walls which move in (target space) time. When a parameter in such a background exceeds a certain critical value, the speed of the Liouville wall exceeds the speed of light, and there is no usual S-Matrix. We examine such backgrounds in the dual $c=1$ matrix model from the point of view of fluctuations of the collective field, and determine the nature of the emergent space-time perceived by these fluctuations. We show that so long as the corresponding Liouville wall remains time-like, the emergent space time is conformal to full Minkowski space with a time-like wall. However, for the cases where the Liouville wall is superluminal, the emergent space-time has a {\em space-like boundary} where the collective field couplings diverge. This appears as a space-like singularity in perturbative collective field theory. We comment on the necessity of incorporating finite $N$, as well as finite (double-scaled) coupling, effects to understand the behavior of the exact theory near this boundary. |
| title | Superluminal Liouville walls in 2d String Theory and space-like singularities |
| topic | High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.12778 |