Conformal line defects at finite temperature
We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are broken, the model can still be highly constrained from its featu...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2025-01-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.1.018 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841527645390503936 |
|---|---|
| author | Julien Barrat, Bartomeu Fiol, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni |
| author_facet | Julien Barrat, Bartomeu Fiol, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni |
| author_sort | Julien Barrat, Bartomeu Fiol, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni |
| collection | DOAJ |
| description | We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are broken, the model can still be highly constrained from its features at zero temperature. In this work we show that the defect and bulk one and two-point correlators can be written as functions of zero-temperature data and thermal one-point functions (defect and bulk). The defect one-point functions are new data and they are induced by thermal effects of the bulk. For this new set of data we derive novel sum rules and establish a bootstrap problem for the thermal defect one-point functions from the KMS condition. We also comment on the behaviour of operators with large scaling dimensions. Additionally, we relate the free energy and entropy density to the OPE data through the one-point function of the stress-energy tensor. Our formalism is validated through analytical computations in generalized free scalar field theory, and we present new predictions for the $O(N)$ model with a magnetic impurity in the $\varepsilon$-expansion and the large $N$ limit. |
| format | Article |
| id | doaj-art-e77ef84823d948369758044ab7221f67 |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-e77ef84823d948369758044ab7221f672025-01-15T12:19:56ZengSciPostSciPost Physics2542-46532025-01-0118101810.21468/SciPostPhys.18.1.018Conformal line defects at finite temperatureJulien Barrat, Bartomeu Fiol, Enrico Marchetto, Alessio Miscioscia, Elli PomoniWe study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are broken, the model can still be highly constrained from its features at zero temperature. In this work we show that the defect and bulk one and two-point correlators can be written as functions of zero-temperature data and thermal one-point functions (defect and bulk). The defect one-point functions are new data and they are induced by thermal effects of the bulk. For this new set of data we derive novel sum rules and establish a bootstrap problem for the thermal defect one-point functions from the KMS condition. We also comment on the behaviour of operators with large scaling dimensions. Additionally, we relate the free energy and entropy density to the OPE data through the one-point function of the stress-energy tensor. Our formalism is validated through analytical computations in generalized free scalar field theory, and we present new predictions for the $O(N)$ model with a magnetic impurity in the $\varepsilon$-expansion and the large $N$ limit.https://scipost.org/SciPostPhys.18.1.018 |
| spellingShingle | Julien Barrat, Bartomeu Fiol, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni Conformal line defects at finite temperature SciPost Physics |
| title | Conformal line defects at finite temperature |
| title_full | Conformal line defects at finite temperature |
| title_fullStr | Conformal line defects at finite temperature |
| title_full_unstemmed | Conformal line defects at finite temperature |
| title_short | Conformal line defects at finite temperature |
| title_sort | conformal line defects at finite temperature |
| url | https://scipost.org/SciPostPhys.18.1.018 |
| work_keys_str_mv | AT julienbarratbartomeufiolenricomarchettoalessiomisciosciaellipomoni conformallinedefectsatfinitetemperature |