Quantisation of type IIB superstring theory and the matrix model
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915121847074816 |
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| author | Asano, Yuhma |
| author_facet | Asano, Yuhma |
| contents | We discuss the path-integral quantisation of perturbative string theory and show equivalence between the Polyakov-type, Schild-type and Nambu-Goto-type formulations of critical type II superstring theory in the Minkowski and Euclidean signatures. Remarkably, we also find that the Minkowskian path integral realises causality in the sense that a string does not propagate between points at space-like separation, by giving careful consideration to the measure of the world-sheet metric. We also discuss matrix regularisation of the path integral for type IIB perturbative superstring theory. The obtained matrix models are the Euclidean IKKT matrix model and a modified Minkowskian IKKT model, depending on how the matrix regularisation is applied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantisation of type IIB superstring theory and the matrix model Asano, Yuhma High Energy Physics - Theory We discuss the path-integral quantisation of perturbative string theory and show equivalence between the Polyakov-type, Schild-type and Nambu-Goto-type formulations of critical type II superstring theory in the Minkowski and Euclidean signatures. Remarkably, we also find that the Minkowskian path integral realises causality in the sense that a string does not propagate between points at space-like separation, by giving careful consideration to the measure of the world-sheet metric. We also discuss matrix regularisation of the path integral for type IIB perturbative superstring theory. The obtained matrix models are the Euclidean IKKT matrix model and a modified Minkowskian IKKT model, depending on how the matrix regularisation is applied. |
| title | Quantisation of type IIB superstring theory and the matrix model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.04000 |