Modular invariant gluon-graviton scattering in AdS at one loop
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| Format: | Preprint |
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2025
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| author | Chester, Shai M. Ferrero, Pietro Pavarini, Daniele R. |
| author_facet | Chester, Shai M. Ferrero, Pietro Pavarini, Daniele R. |
| contents | We consider mixed gluon-graviton scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to a mixed correlator of the $SO(8)$ and $SU(2)_L$ flavor multiplets of a certain 4d $\mathcal{N}=2$ $USp(2N)$ gauge theory with complexified coupling $τ$. We compute this holographic correlator in the large $N$ and finite $τ$ expansion using constraints from derivatives of the mass deformed sphere free energy, which we compute using supersymmetric localization at large $N$ and finite $τ$ in terms of modular invariant non-holomorphic Eisenstein series. In particular, we combine this constraint with the known flat space limit to fix the $R^2F^2$ higher derivative correction to the correlator in terms of the weight one non-holomorphic Eisenstein series, and also to fix the logarithmic threshold. We also compute the one-loop correction to the correlator, and match it to the expected flat space limit result. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modular invariant gluon-graviton scattering in AdS at one loop Chester, Shai M. Ferrero, Pietro Pavarini, Daniele R. High Energy Physics - Theory We consider mixed gluon-graviton scattering in Type IIB string theory on AdS$_5\times S^5/\mathbb{Z}_2$ in the presence of D7 branes, which is dual to a mixed correlator of the $SO(8)$ and $SU(2)_L$ flavor multiplets of a certain 4d $\mathcal{N}=2$ $USp(2N)$ gauge theory with complexified coupling $τ$. We compute this holographic correlator in the large $N$ and finite $τ$ expansion using constraints from derivatives of the mass deformed sphere free energy, which we compute using supersymmetric localization at large $N$ and finite $τ$ in terms of modular invariant non-holomorphic Eisenstein series. In particular, we combine this constraint with the known flat space limit to fix the $R^2F^2$ higher derivative correction to the correlator in terms of the weight one non-holomorphic Eisenstein series, and also to fix the logarithmic threshold. We also compute the one-loop correction to the correlator, and match it to the expected flat space limit result. |
| title | Modular invariant gluon-graviton scattering in AdS at one loop |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.10319 |