From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913151391367168 |
|---|---|
| author | Huang, Zi-Xiao Yuan, Ma-Ke Zhou, Yang |
| author_facet | Huang, Zi-Xiao Yuan, Ma-Ke Zhou, Yang |
| contents | We present a closed-form expression for the contribution of surface defects to the supersymmetric Rényi entropy in six-dimensional $(2,0)$ theories. Our results show that this defect contribution is a linear function of $1/n$ and is directly proportional to $2b-d_2$, where $b$ and $d_2$ are the surface defect Weyl anomaly coefficients. We also derive a closed-form expression for the defect contribution to the supersymmetric Casimir energy, which simplifies to $-d_2$ (up to a proportionality constant) in the chiral algebra limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy Huang, Zi-Xiao Yuan, Ma-Ke Zhou, Yang High Energy Physics - Theory Disordered Systems and Neural Networks Mathematical Physics We present a closed-form expression for the contribution of surface defects to the supersymmetric Rényi entropy in six-dimensional $(2,0)$ theories. Our results show that this defect contribution is a linear function of $1/n$ and is directly proportional to $2b-d_2$, where $b$ and $d_2$ are the surface defect Weyl anomaly coefficients. We also derive a closed-form expression for the defect contribution to the supersymmetric Casimir energy, which simplifies to $-d_2$ (up to a proportionality constant) in the chiral algebra limit. |
| title | From Weyl Anomaly to Defect Supersymmetric Rényi Entropy and Casimir Energy |
| topic | High Energy Physics - Theory Disordered Systems and Neural Networks Mathematical Physics |
| url | https://arxiv.org/abs/2501.09498 |