Conformal graphs as twisted partition functions
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911909640404992 |
|---|---|
| author | Karydas, Manthos Li, Songyuan Petkou, Anastasios C. Vilatte, Matthieu |
| author_facet | Karydas, Manthos Li, Songyuan Petkou, Anastasios C. Vilatte, Matthieu |
| contents | We show that a class of $L$-loop conformal ladder graphs correspond to twisted partition functions of free massive complex scalars in $d=2L+1$ dimensions. The graphs arise as four-point functions in certain two- and four-dimensional conformal fishnet models. The twisted thermal two-point function of the scalars is a generator of such conformal graphs for all loops. We argue that this correspondence is seeded by a system of two decoupled harmonic oscillators twisted by an imaginary chemical potential. We find a number of algebraic and differential relations among the conformal graphs which mirror the underlying free dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00135 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformal graphs as twisted partition functions Karydas, Manthos Li, Songyuan Petkou, Anastasios C. Vilatte, Matthieu High Energy Physics - Theory We show that a class of $L$-loop conformal ladder graphs correspond to twisted partition functions of free massive complex scalars in $d=2L+1$ dimensions. The graphs arise as four-point functions in certain two- and four-dimensional conformal fishnet models. The twisted thermal two-point function of the scalars is a generator of such conformal graphs for all loops. We argue that this correspondence is seeded by a system of two decoupled harmonic oscillators twisted by an imaginary chemical potential. We find a number of algebraic and differential relations among the conformal graphs which mirror the underlying free dynamics. |
| title | Conformal graphs as twisted partition functions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.00135 |