Quantized Giant Gravitons as the Periodic Table of Supersymmetric States: D3, M2 and M5
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915506977505280 |
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| author | Deddo, Evan Jayaprakash, Sabarenath Liu, James T. Zayas, Leopoldo A. Pando |
| author_facet | Deddo, Evan Jayaprakash, Sabarenath Liu, James T. Zayas, Leopoldo A. Pando |
| contents | We consider giant gravitons in the probe approximation when they are described by classical brane configurations in AdS$_{p+2}\times S^{q+2}$ wrapping a particular $q$-cycle and spinning in $S^{q+2}$. We quantize the full set of fluctuations of these configurations and show that they are sufficient to capture all the supersymmetric single-letter partition functions of the dual field theory. We explicitly discuss the cases of D3, M2 and M5 branes and reproduce the single-letter indices for all fractions of supersymmetry. We also provide a new derivation of the full finite-$N$ half-BPS index by promoting certain fluctuations to matrix-valued fields. We elaborate on the obstructions for the general finite-$N$ computations. Given that the single-letter partition functions are the building blocks of all supersymmetric enumerations, including for the black hole entropy, our work provides a direct gravitational counting of those degrees of freedom modulo finite-$N$ obstacles due to non-Abelian effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantized Giant Gravitons as the Periodic Table of Supersymmetric States: D3, M2 and M5 Deddo, Evan Jayaprakash, Sabarenath Liu, James T. Zayas, Leopoldo A. Pando High Energy Physics - Theory We consider giant gravitons in the probe approximation when they are described by classical brane configurations in AdS$_{p+2}\times S^{q+2}$ wrapping a particular $q$-cycle and spinning in $S^{q+2}$. We quantize the full set of fluctuations of these configurations and show that they are sufficient to capture all the supersymmetric single-letter partition functions of the dual field theory. We explicitly discuss the cases of D3, M2 and M5 branes and reproduce the single-letter indices for all fractions of supersymmetry. We also provide a new derivation of the full finite-$N$ half-BPS index by promoting certain fluctuations to matrix-valued fields. We elaborate on the obstructions for the general finite-$N$ computations. Given that the single-letter partition functions are the building blocks of all supersymmetric enumerations, including for the black hole entropy, our work provides a direct gravitational counting of those degrees of freedom modulo finite-$N$ obstacles due to non-Abelian effects. |
| title | Quantized Giant Gravitons as the Periodic Table of Supersymmetric States: D3, M2 and M5 |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.18252 |