Superconformal anomalies for string defects in six-dimensional $\mathcal{N} = (1,0)$ SCFTs

Fuente: arXiv
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Main Authors: Apruzzi, Fabio, Mekareeya, Noppadol, Robinson, Brandon, Tomasiello, Alessandro
Format: Preprint
Published: 2024
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author Apruzzi, Fabio
Mekareeya, Noppadol
Robinson, Brandon
Tomasiello, Alessandro
author_facet Apruzzi, Fabio
Mekareeya, Noppadol
Robinson, Brandon
Tomasiello, Alessandro
contents We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of ten-dimensional type IIA supergravity, we compute the two independent defect Weyl anomalies from the on-shell action for a spherical defect and defect sphere entanglement entropy. We find agreement between the holographic prediction for the defect A-type anomaly coming from the defect sphere free energy and the leading large $N$ contribution to the defect `t Hooft anomaly found using anomaly inflow. We also find agreement between the holographic computation of the expectation value of a surface operator wrapping a torus and the supersymmetric localization computation for a circular Wilson loop in $\mathcal{N}=1$ super Yang-Mills theory on $S^5$. Lastly, we holographically compute the defect gravitational anomaly from the Wess-Zumino action of the probe D4-brane, which provides a subleading large $N$ correction to the defect A-type anomaly.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18049
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Superconformal anomalies for string defects in six-dimensional $\mathcal{N} = (1,0)$ SCFTs
Apruzzi, Fabio
Mekareeya, Noppadol
Robinson, Brandon
Tomasiello, Alessandro
High Energy Physics - Theory
We study the anomalies of two-dimensional BPS defects in six-dimensional $\mathcal{N}=(1,0)$ superconformal field theories. Using a holographic description of these defects furnished by probe D4-branes in AdS${}_7$ solutions of ten-dimensional type IIA supergravity, we compute the two independent defect Weyl anomalies from the on-shell action for a spherical defect and defect sphere entanglement entropy. We find agreement between the holographic prediction for the defect A-type anomaly coming from the defect sphere free energy and the leading large $N$ contribution to the defect `t Hooft anomaly found using anomaly inflow. We also find agreement between the holographic computation of the expectation value of a surface operator wrapping a torus and the supersymmetric localization computation for a circular Wilson loop in $\mathcal{N}=1$ super Yang-Mills theory on $S^5$. Lastly, we holographically compute the defect gravitational anomaly from the Wess-Zumino action of the probe D4-brane, which provides a subleading large $N$ correction to the defect A-type anomaly.
title Superconformal anomalies for string defects in six-dimensional $\mathcal{N} = (1,0)$ SCFTs
topic High Energy Physics - Theory
url https://arxiv.org/abs/2407.18049