Holographic $a$-functions and Boomerang RG Flows
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916116026097664 |
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| author | Cáceres, Elena Vásquez, Rodrigo Castillo Landsteiner, Karl Landea, Ignacio Salazar |
| author_facet | Cáceres, Elena Vásquez, Rodrigo Castillo Landsteiner, Karl Landea, Ignacio Salazar |
| contents | We use the radial null energy condition to construct a monotonic $a$-function for a certain type of non-relativistic holographic RG flows. We test our $a$-function in three different geometries that feature a Boomerang RG flow, characterized by a domain wall between two AdS spaces with the same AdS radius, but with different (and sometimes directions dependent) speeds of light. We find that the $a$-function monotonically decreases and goes to a constant in the asymptotic regimes of the geometry. Using the holographic dictionary in this asymptotic AdS spaces, we find that the $a$-function not only reads the fixed point central charge but also the speed of light, suggesting what the correct RG charge might be for non-relativistic RG flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15983 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holographic $a$-functions and Boomerang RG Flows Cáceres, Elena Vásquez, Rodrigo Castillo Landsteiner, Karl Landea, Ignacio Salazar High Energy Physics - Theory Other Condensed Matter We use the radial null energy condition to construct a monotonic $a$-function for a certain type of non-relativistic holographic RG flows. We test our $a$-function in three different geometries that feature a Boomerang RG flow, characterized by a domain wall between two AdS spaces with the same AdS radius, but with different (and sometimes directions dependent) speeds of light. We find that the $a$-function monotonically decreases and goes to a constant in the asymptotic regimes of the geometry. Using the holographic dictionary in this asymptotic AdS spaces, we find that the $a$-function not only reads the fixed point central charge but also the speed of light, suggesting what the correct RG charge might be for non-relativistic RG flows. |
| title | Holographic $a$-functions and Boomerang RG Flows |
| topic | High Energy Physics - Theory Other Condensed Matter |
| url | https://arxiv.org/abs/2310.15983 |