| Autor: |
Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2018, Iss 2, Pp 1-19 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP02(2018)162 |
| Popis: |
Abstract In [15] it was shown that the spectrum and bilocal propagator of SYK model with four fermion interactions can be realized as a three dimensional model in AdS 2 ×S 1 /Z 2 with nontrivial boundary conditions in the additional dimension. In this paper we show that a similar picture holds for generalizations of the SYK model with q-fermion interactions. The 3D realization is now given on a space whose metric is conformal to AdS 2 × S 1 /Z 2 and is subject to a non-trivial potential in addition to a delta function at the center of the interval. It is shown that a Horava-Witten compactification reproduces the exact SYK spectrum and a non-standard propagator between points which lie at the center of the interval exactly agrees with the bilocal propagator. As q → ∞, the wave function of one of the modes at the center of the interval vanish as 1/q, while the others vanish as 1/q 2, in a way consistent with the fact that in the SYK model only one of the modes contributes to the bilocal propagator in this limit. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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