MLBraneWebs
Description:
In these files we study the classification of 5d Superconformal Field Theories arising from brane webs in Type IIB String Theory, using a Siamese Neural Network to identify different webs giving rise to the same theory. We consider two datasets of brane webs with three external legs: one with classes defined under weak equivalence and the other defined under strong equivalence, where weak and strong equivalence are defined as
Strong equivalence: two webs are strongly equivalent if they can be transformed into each other by means of any combination of SL(2,Z) and HW moves.
Weak equivalence: two webs are weakly equivalent if they have the same number of 7-branes, asymptotic charge invariant and total monodromy up to SL(2,Z).
How to run:
The 2x3 web matrices describing the brane webs of the two weakly and strongly equivalent datasets are saved in the files 3leg_data_X.db and 3leg_data_Y.db respectively. The SNN can be trained and tested by running the SNN.py file and the TDA can be obtained by running the TDA.py file.
BibTeX Citation
@article{Arias-Tamargo:2022qgb,
author = "Arias-Tamargo, Guillermo and He, Yang-Hui and Heyes, Elli and Hirst, Edward and Rodriguez-Gomez, Diego",
title = "{Brain webs for brane webs}",
eprint = "2202.05845",
archivePrefix = "arXiv",
primaryClass = "hep-th",
reportNumber = "LIMS-2022-08",
doi = "10.1016/j.physletb.2022.137376",
journal = "Phys. Lett. B",
volume = "833",
pages = "137376",
year = "2022"
}