Metaheuristic generation of brane tilings
The combinatorics of dimer models on brane tilings describe a large class of four-dimensional 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 consist...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026932500125X |
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| author | Yang-Hui He Vishnu Jejjala Tomás S.R. Silva |
| author_facet | Yang-Hui He Vishnu Jejjala Tomás S.R. Silva |
| author_sort | Yang-Hui He |
| collection | DOAJ |
| description | The combinatorics of dimer models on brane tilings describe a large class of four-dimensional 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 | Article |
| id | doaj-art-651919e91e36497ca6ed552e020c537e |
| institution | DOAJ |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-651919e91e36497ca6ed552e020c537e2025-08-20T02:59:18ZengElsevierPhysics Letters B0370-26932025-03-0186213936510.1016/j.physletb.2025.139365Metaheuristic generation of brane tilingsYang-Hui He0Vishnu Jejjala1Tomás S.R. Silva2London Institute for Mathematical Sciences, Royal Institution, London, W1S 4BS, UK; Merton College, University of Oxford, OX1 4JD, UKMandelstam Institute for Theoretical Physics, School of Physics, NITheCS, and CoE-MaSS, University of the Witwatersrand, Johannesburg, WITS 2050, South AfricaInstituto de Matemática, Estatística e Computação Científica (IMECC) da Universidade Estadual de Campinas (UNICAMP), 13083-859, Brazil; Corresponding author.The combinatorics of dimer models on brane tilings describe a large class of four-dimensional 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.http://www.sciencedirect.com/science/article/pii/S037026932500125XBrane tilingsPermutation tuplesSimulated annealing |
| spellingShingle | Yang-Hui He Vishnu Jejjala Tomás S.R. Silva Metaheuristic generation of brane tilings Physics Letters B Brane tilings Permutation tuples Simulated annealing |
| title | Metaheuristic generation of brane tilings |
| title_full | Metaheuristic generation of brane tilings |
| title_fullStr | Metaheuristic generation of brane tilings |
| title_full_unstemmed | Metaheuristic generation of brane tilings |
| title_short | Metaheuristic generation of brane tilings |
| title_sort | metaheuristic generation of brane tilings |
| topic | Brane tilings Permutation tuples Simulated annealing |
| url | http://www.sciencedirect.com/science/article/pii/S037026932500125X |
| work_keys_str_mv | AT yanghuihe metaheuristicgenerationofbranetilings AT vishnujejjala metaheuristicgenerationofbranetilings AT tomassrsilva metaheuristicgenerationofbranetilings |