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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.07412 |
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| _version_ | 1866917132869042176 |
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| author | Jarov, Seraphim |
| author_facet | Jarov, Seraphim |
| contents | I study a topological string construction of the holographic duality between Kodaira-Spencer gravity on the Calabi-Yau 7-fold $\mathcal{O}(-1)^4\to\mathbb{PT}$ in the presence of a stack of $N$ backreacted D5 branes wrapping twistor space, $\mathbb{PT}$. The theory on the stack of branes is the twistor uplift of self-dual $\mathcal{N}=4$ gauge theory. I show that turning on a bulk superpotential and twisting the brane theory by the dual supercharge reduces the duality to twisted holography which relates the B-model on AdS$_3\times S^3\cong SL(2,\mathbb{C})$ to the 2d chiral algebra subsector of $\mathcal{N}=4$. I do an analogous computation for the twistor uplift of self-dual $\mathcal{N}=2$ by working on the Calabi-Yau 7-fold $\mathcal{O}(-2,-2)\oplus \mathcal{O}(0,-1)^2\to\mathbb{CP}^1\times\mathbb{PT}$. I also connect twists of the twistor uplift of self-dual $\mathcal{N}=4$ with the matrix model found by supersymmetric localization on $S^4$ and the Dijkgraaf-Vafa matrix model construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07412 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twisted holography from the B-model on a 7-fold Jarov, Seraphim High Energy Physics - Theory I study a topological string construction of the holographic duality between Kodaira-Spencer gravity on the Calabi-Yau 7-fold $\mathcal{O}(-1)^4\to\mathbb{PT}$ in the presence of a stack of $N$ backreacted D5 branes wrapping twistor space, $\mathbb{PT}$. The theory on the stack of branes is the twistor uplift of self-dual $\mathcal{N}=4$ gauge theory. I show that turning on a bulk superpotential and twisting the brane theory by the dual supercharge reduces the duality to twisted holography which relates the B-model on AdS$_3\times S^3\cong SL(2,\mathbb{C})$ to the 2d chiral algebra subsector of $\mathcal{N}=4$. I do an analogous computation for the twistor uplift of self-dual $\mathcal{N}=2$ by working on the Calabi-Yau 7-fold $\mathcal{O}(-2,-2)\oplus \mathcal{O}(0,-1)^2\to\mathbb{CP}^1\times\mathbb{PT}$. I also connect twists of the twistor uplift of self-dual $\mathcal{N}=4$ with the matrix model found by supersymmetric localization on $S^4$ and the Dijkgraaf-Vafa matrix model construction. |
| title | Twisted holography from the B-model on a 7-fold |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.07412 |