Axial Anomalies of Maximally Supersymmetric Tensor Theories
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909221973393408 |
|---|---|
| author | Yi, Piljin Zhang, Yi |
| author_facet | Yi, Piljin Zhang, Yi |
| contents | We revisit anomalies of $(4,0)$ and $(3,1)$ maximally supersymmetric tensor theories in $d=6$. A $(4,0)$ on-shell tensor multiplet descends to that of the $d=5$ maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of $(2,0)$ theories as the UV completion of $d=5$ $\mathcal{N}=2$ pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the $d=6$ metric is not obvious. We perform a comprehensive anomaly computation for $(4,0)$ and $(3,1)$ tensor supermultiplets, respectively, for $Sp(4)$ and $Sp(3)\times Sp(1)$ $R$-symmetry anomalies and the mixed $R$-gravitational anomaly thereof, and find that anomalies involving $R$-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17393 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Axial Anomalies of Maximally Supersymmetric Tensor Theories Yi, Piljin Zhang, Yi High Energy Physics - Theory Mathematical Physics We revisit anomalies of $(4,0)$ and $(3,1)$ maximally supersymmetric tensor theories in $d=6$. A $(4,0)$ on-shell tensor multiplet descends to that of the $d=5$ maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of $(2,0)$ theories as the UV completion of $d=5$ $\mathcal{N}=2$ pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the $d=6$ metric is not obvious. We perform a comprehensive anomaly computation for $(4,0)$ and $(3,1)$ tensor supermultiplets, respectively, for $Sp(4)$ and $Sp(3)\times Sp(1)$ $R$-symmetry anomalies and the mixed $R$-gravitational anomaly thereof, and find that anomalies involving $R$-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance. |
| title | Axial Anomalies of Maximally Supersymmetric Tensor Theories |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2403.17393 |