Metaheuristic Generation of Brane Tilings
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916637862526976 |
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| author | He, Yang-Hui Jejjala, Vishnu Silva, Tomás S. R. |
| author_facet | He, Yang-Hui Jejjala, Vishnu Silva, Tomás S. R. |
| contents | The combinatorics of dimer models on brane tilings describe a large class of four-dimensional $\mathcal{N}=1$ gauge theories that afford quiver descriptions and have toric moduli spaces. We introduce a combinatorial optimization method leveraging simulated annealing to explicitly construct geometrically consistent brane tilings, providing a proof of concept for efficient generation of gauge theories using metaheuristic techniques. The implementation of this idea recovers known examples and allows us to derive a new brane tiling with $26$ quantum fields, illustrating the potential of metaheuristic techniques as a valuable addition to the toolbox for constructing and analyzing gauge theories from brane tilings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19313 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Metaheuristic Generation of Brane Tilings He, Yang-Hui Jejjala, Vishnu Silva, Tomás S. R. High Energy Physics - Theory Algebraic Geometry Combinatorics The combinatorics of dimer models on brane tilings describe a large class of four-dimensional $\mathcal{N}=1$ gauge theories that afford quiver descriptions and have toric moduli spaces. We introduce a combinatorial optimization method leveraging simulated annealing to explicitly construct geometrically consistent brane tilings, providing a proof of concept for efficient generation of gauge theories using metaheuristic techniques. The implementation of this idea recovers known examples and allows us to derive a new brane tiling with $26$ quantum fields, illustrating the potential of metaheuristic techniques as a valuable addition to the toolbox for constructing and analyzing gauge theories from brane tilings. |
| title | Metaheuristic Generation of Brane Tilings |
| topic | High Energy Physics - Theory Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2412.19313 |