Holographic origin of $a$-maximization and higher-derivative AdS$_5$/CFT$_4$
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914173502357504 |
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| author | Hristov, Kiril Khandelwal, Saurish Pang, Yi Tartaglino-Mazzucchelli, Gabriele |
| author_facet | Hristov, Kiril Khandelwal, Saurish Pang, Yi Tartaglino-Mazzucchelli, Gabriele |
| contents | We develop a consistent partially off-shell framework for evaluating higher-derivative actions of five-dimensional $\cal{N}=1$ gauged supergravity with abelian vector multiplets on AdS$_5$. Using the superconformal formalism, we show that the resulting holographic expression reproduces the trial $a$-anomaly coefficient of the dual conformal field theory, identifying the supergravity equations of motion with $a$-maximization. We present an exact correspondence between Chern-Simons couplings and the anomaly polynomial of the boundary theory. We illustrate our proposal by applying it to all known two- and four-derivative actions, including the ``off-diagonal'' invariants never before considered in the gauged supergravity literature. Finally, we argue that all invariants beyond four-derivative yield no genuinely new contributions to asymptotically AdS$_5$ BPS backgrounds, but instead reduce to linear combinations of the established two- and four-derivative actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holographic origin of $a$-maximization and higher-derivative AdS$_5$/CFT$_4$ Hristov, Kiril Khandelwal, Saurish Pang, Yi Tartaglino-Mazzucchelli, Gabriele High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We develop a consistent partially off-shell framework for evaluating higher-derivative actions of five-dimensional $\cal{N}=1$ gauged supergravity with abelian vector multiplets on AdS$_5$. Using the superconformal formalism, we show that the resulting holographic expression reproduces the trial $a$-anomaly coefficient of the dual conformal field theory, identifying the supergravity equations of motion with $a$-maximization. We present an exact correspondence between Chern-Simons couplings and the anomaly polynomial of the boundary theory. We illustrate our proposal by applying it to all known two- and four-derivative actions, including the ``off-diagonal'' invariants never before considered in the gauged supergravity literature. Finally, we argue that all invariants beyond four-derivative yield no genuinely new contributions to asymptotically AdS$_5$ BPS backgrounds, but instead reduce to linear combinations of the established two- and four-derivative actions. |
| title | Holographic origin of $a$-maximization and higher-derivative AdS$_5$/CFT$_4$ |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2511.22546 |