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Metaheuristic generation of brane tilings

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Author(s):
He, Yang-Hui ; Jejjala, Vishnu ; Silva, Tomas S. R.
Total Authors: 3
Document type: Journal article
Source: Physics Letters B; v. 862, p. 5-pg., 2025-03-01.
Abstract

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. (AU)

FAPESP's process: 22/09891-4 - Geometry, topology and data science
Grantee:Tomas dos Santos Rodrigues e Silva
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)