Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910969421103104 |
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| author | Belin, Alexandre Bintanja, Suzanne Castro, Alejandra Knop, Waltraut |
| author_facet | Belin, Alexandre Bintanja, Suzanne Castro, Alejandra Knop, Waltraut |
| contents | We study thermal two-point functions and four-point functions involving two heavy twisted operators and two light probes in symmetric product orbifolds. We identify cases where they are universal at large $N$, that is, they are only sensitive to the orbifold structure. Surprisingly, such observables mimic correlators obtained from the BTZ background, even though symmetric product orbifolds are not dual to semi-classical gravity. We discuss the interpretation of these results in light of the criteria for emergence of spacetime via Von Neumann algebras. Our analysis implies that a condition on the infinite $N$ thermal two-point functions cannot be stringent enough to define an emergent spacetime and the concept of a sharp horizon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_01734 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime Belin, Alexandre Bintanja, Suzanne Castro, Alejandra Knop, Waltraut High Energy Physics - Theory We study thermal two-point functions and four-point functions involving two heavy twisted operators and two light probes in symmetric product orbifolds. We identify cases where they are universal at large $N$, that is, they are only sensitive to the orbifold structure. Surprisingly, such observables mimic correlators obtained from the BTZ background, even though symmetric product orbifolds are not dual to semi-classical gravity. We discuss the interpretation of these results in light of the criteria for emergence of spacetime via Von Neumann algebras. Our analysis implies that a condition on the infinite $N$ thermal two-point functions cannot be stringent enough to define an emergent spacetime and the concept of a sharp horizon. |
| title | Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.01734 |