Y. He

V. Jejjala

T. S. R. Silva

We use simulated annealing to efficiently construct all brane tilings that encode supersymmetric gauge theories and discover a new one.

Simulated annealing is used to efficiently construct geometrically consistent brane tilings from string theory that model quantum field theories with toric moduli spaces. The method successfully reproduces known examples and reveals a new model with 26 quantum fields, showing metaheuristic techniques in AI-assisted discovery can generate novel quantum field theories of interest to both physicists and mathematicians.

The combinatorics of dimer models on brane tilings describe a large class of four-dimensional =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, whose construction is beyond the computational power of current methods.

Metaheuristic tilings

Metaheuristic generation of Brane tilings