Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911007024087040 |
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| author | Berkovits, Nathan |
| author_facet | Berkovits, Nathan |
| contents | A topological A-model constructed from $CP^{3|4}$ supertwistor variables is proposed for the $AdS_5\times S^5$ superstring. At zero $AdS$ radius, free N=4 d=4 super-Yang-Mills amplitudes are reproduced by topological amplitudes of the corresponding gauged linear sigma model where the closed superstring vertex operator for a trace of $k$ super-Yang-Mills fields is described by a boundary state with $k$ edges. After turning on a Fayet-Iliopoulis term in the sigma model with coefficient $R^2 =\sqrt{g_{YM}^2 N}$, the topological amplitudes are claimed to reproduce the 't Hooft expansion of perturbative super-Yang-Mills amplitudes. Finally, this topological A-model is related to the usual $AdS_5\times S^5$ superstring in the pure spinor formalism. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_10907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture Berkovits, Nathan High Energy Physics - Theory A topological A-model constructed from $CP^{3|4}$ supertwistor variables is proposed for the $AdS_5\times S^5$ superstring. At zero $AdS$ radius, free N=4 d=4 super-Yang-Mills amplitudes are reproduced by topological amplitudes of the corresponding gauged linear sigma model where the closed superstring vertex operator for a trace of $k$ super-Yang-Mills fields is described by a boundary state with $k$ edges. After turning on a Fayet-Iliopoulis term in the sigma model with coefficient $R^2 =\sqrt{g_{YM}^2 N}$, the topological amplitudes are claimed to reproduce the 't Hooft expansion of perturbative super-Yang-Mills amplitudes. Finally, this topological A-model is related to the usual $AdS_5\times S^5$ superstring in the pure spinor formalism. |
| title | Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.10907 |