Three Dimensional Gravity and Schramm-Loewner Evolution
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866910559297863680 |
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| author | Zhou, Jing |
| author_facet | Zhou, Jing |
| contents | The partition function of three dimensional gravity in the quantum regime is dual to the Ising model when the central charge $c=1/2$. Mathematically, we show that the three dimensional gravity can be described by Schramm-Loewner Evolution(SLE) with certain $κ$. In fact, SLE depends on the parameter $κ$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $κ$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_02694 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Three Dimensional Gravity and Schramm-Loewner Evolution Zhou, Jing High Energy Physics - Theory The partition function of three dimensional gravity in the quantum regime is dual to the Ising model when the central charge $c=1/2$. Mathematically, we show that the three dimensional gravity can be described by Schramm-Loewner Evolution(SLE) with certain $κ$. In fact, SLE depends on the parameter $κ$ which controls the diffusion of the Brownian motion. Each value of $c < 1$ corresponds to two values of $κ$, which may hint that the three dimensional gravity has two different phases at certain central charge c. Moreover, phase transition is also discussed in AdS and Ising model. |
| title | Three Dimensional Gravity and Schramm-Loewner Evolution |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/1912.02694 |