Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917389340246016 |
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| author | Hristov, Kiril |
| author_facet | Hristov, Kiril |
| contents | We study supersymmetric indices of the 6d $(2,0)$ theory of $N$ M5-branes on toric Sasaki-Einstein five-manifolds. Embedding the background into a local toric Calabi-Yau four-fold and equivariantly integrating the anomaly polynomial yields a finite-$N$ Cardy-limit formula in terms of equivariant characteristic classes. Separately, using equivariant constant maps in topological string theory and higher-derivative supergravity, we derive a finite-$N$ proposal for the superconformal, twisted and spindle indices of $N$ M2-branes probing arbitrary toric Calabi-Yau four-folds. The M2-brane partition functions depend on the same combination of equivariant classes as the M5 result. Motivated by this match, we generalize the M2/M5 duality recently proposed in arxiv:2601.17114 to an infinite class of M2-brane theories by exchanging the worldvolume and transverse geometries of the two brane systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06343 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality Hristov, Kiril High Energy Physics - Theory We study supersymmetric indices of the 6d $(2,0)$ theory of $N$ M5-branes on toric Sasaki-Einstein five-manifolds. Embedding the background into a local toric Calabi-Yau four-fold and equivariantly integrating the anomaly polynomial yields a finite-$N$ Cardy-limit formula in terms of equivariant characteristic classes. Separately, using equivariant constant maps in topological string theory and higher-derivative supergravity, we derive a finite-$N$ proposal for the superconformal, twisted and spindle indices of $N$ M2-branes probing arbitrary toric Calabi-Yau four-folds. The M2-brane partition functions depend on the same combination of equivariant classes as the M5 result. Motivated by this match, we generalize the M2/M5 duality recently proposed in arxiv:2601.17114 to an infinite class of M2-brane theories by exchanging the worldvolume and transverse geometries of the two brane systems. |
| title | Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.06343 |