Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.02651 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918226651250688 |
|---|---|
| author | Nguyen, Kevin |
| author_facet | Nguyen, Kevin |
| contents | We demonstrate that the geometric action on a coadjoint orbit of the Virasoro group appropriately describes non-dissipative two-dimensional conformal fluids. While this action had already appeared in the context of AdS$_3$ gravity, the hydrodynamical interpretation given here is new. We use this to argue that the geometric action manifestly controls both sides of the fluid/gravity correspondence, where the gravitational `hologram' gives an effective hydrodynamical description of the dual CFT. As a byproduct, our work sheds light on the nature of the AdS$_3$ reparametrization theory used to effectively compute Virasoro vacuum blocks at large central charge, as the reparametrization mode is now understood as a fluctuation of the fluid velocity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02651 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hydrodynamics of two-dimensional CFTs Nguyen, Kevin High Energy Physics - Theory We demonstrate that the geometric action on a coadjoint orbit of the Virasoro group appropriately describes non-dissipative two-dimensional conformal fluids. While this action had already appeared in the context of AdS$_3$ gravity, the hydrodynamical interpretation given here is new. We use this to argue that the geometric action manifestly controls both sides of the fluid/gravity correspondence, where the gravitational `hologram' gives an effective hydrodynamical description of the dual CFT. As a byproduct, our work sheds light on the nature of the AdS$_3$ reparametrization theory used to effectively compute Virasoro vacuum blocks at large central charge, as the reparametrization mode is now understood as a fluctuation of the fluid velocity. |
| title | Hydrodynamics of two-dimensional CFTs |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.02651 |