The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap
This paper studies the critical behavior of the 3d classical $\mathrm{O}(N)$ model with a boundary. Recently, one of us established that upon treating $N$ as a continuous variable, there exists a critical value $N_c > 2$ such that for $2 \leq N < N_c$ the model exhibits a new extraordinary-...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2022-06-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.12.6.190 |
| _version_ | 1828724680422326272 |
|---|---|
| author | Jaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco Meineri |
| author_facet | Jaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco Meineri |
| author_sort | Jaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco Meineri |
| collection | DOAJ |
| description | This paper studies the critical behavior of the 3d classical $\mathrm{O}(N)$
model with a boundary. Recently, one of us established that upon treating $N$
as a continuous variable, there exists a critical value $N_c > 2$ such that for
$2 \leq N < N_c$ the model exhibits a new extraordinary-log boundary
universality class, if the symmetry preserving interactions on the boundary are
enhanced. $N_c$ is determined by a ratio of universal amplitudes in the normal
universality class, where instead a symmetry breaking field is applied on the
boundary. We study the normal universality class using the numerical conformal
bootstrap. We find truncated solutions to the crossing equation that indicate
$N_c \approx 5$. Additionally, we use semi-definite programming to place
rigorous bounds on the boundary CFT data of interest to conclude that $N_c >
3$, under a certain positivity assumption which we check in various
perturbative limits. |
| first_indexed | 2024-04-12T13:12:48Z |
| format | Article |
| id | doaj.art-4e994e4760e043ac9cd7531aaa3a668a |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-12T13:12:48Z |
| publishDate | 2022-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-4e994e4760e043ac9cd7531aaa3a668a2022-12-22T03:31:48ZengSciPostSciPost Physics2542-46532022-06-0112619010.21468/SciPostPhys.12.6.190The extraordinary boundary transition in the 3d O(N) model via conformal bootstrapJaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco MeineriThis paper studies the critical behavior of the 3d classical $\mathrm{O}(N)$ model with a boundary. Recently, one of us established that upon treating $N$ as a continuous variable, there exists a critical value $N_c > 2$ such that for $2 \leq N < N_c$ the model exhibits a new extraordinary-log boundary universality class, if the symmetry preserving interactions on the boundary are enhanced. $N_c$ is determined by a ratio of universal amplitudes in the normal universality class, where instead a symmetry breaking field is applied on the boundary. We study the normal universality class using the numerical conformal bootstrap. We find truncated solutions to the crossing equation that indicate $N_c \approx 5$. Additionally, we use semi-definite programming to place rigorous bounds on the boundary CFT data of interest to conclude that $N_c > 3$, under a certain positivity assumption which we check in various perturbative limits.https://scipost.org/SciPostPhys.12.6.190 |
| spellingShingle | Jaychandran Padayasi, Abijith Krishnan, Max A. Metlitski, Ilya A. Gruzberg, Marco Meineri The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap SciPost Physics |
| title | The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap |
| title_full | The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap |
| title_fullStr | The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap |
| title_full_unstemmed | The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap |
| title_short | The extraordinary boundary transition in the 3d O(N) model via conformal bootstrap |
| title_sort | extraordinary boundary transition in the 3d o n model via conformal bootstrap |
| url | https://scipost.org/SciPostPhys.12.6.190 |
| work_keys_str_mv | AT jaychandranpadayasiabijithkrishnanmaxametlitskiilyaagruzbergmarcomeineri theextraordinaryboundarytransitioninthe3donmodelviaconformalbootstrap AT jaychandranpadayasiabijithkrishnanmaxametlitskiilyaagruzbergmarcomeineri extraordinaryboundarytransitioninthe3donmodelviaconformalbootstrap |