Mathematical Physics, Quantum Fields and ML

Research

We conduct research at the interface of mathematics and theoretical physics, with a particular emphasis on the mathematical structures that arise in Quantum Field Theory and String Theory.

We also pioneered the introduction of Machine Learning tools in order to study the dynamics and moduli spaces of supersymmetric gauge theories realized in String Theory.

Our research group also works on applied problems that appear in industry, where we use fundamental concepts from geometry, topology and machine learning to solve Optimization and Automation Problems.

RESEARCH HIGHLIGHTS

phase diagrams for supersymmetric gauge theories obtained using ML

We can make use of unsupervised machine learning techniques to construct phase diagrams for 4-dimensional supersymmetric gauge theories related to toric Calabi-Yau 3-folds. These phase diagrams exhibit gauge theory phenomena such as Seiberg duality.

More about this work can be found here:

"Unsupervised Machine Learning Techniques for Exploring
Tropical Coamoeba, Brane Tilings and Seiberg Duality"
Rak-Kyeong Seong
Physical Review D 108, 106009 (2023) 
https://doi.org/10.1103/PhysRevD.108.106009
https://arxiv.org/abs/2309.05702

new brane configurations realizing supersymmetric gauge theories

Brane Brick Models are Type IIA brane configurations that encode 2d supersymmetric gauge theories corresponding to toric Calabi-Yau 4-folds. Brane Brick Models can be used to study 2d gauge theory phenomena such as Gadde-Gukov-Putrov triality.

More about this work can be found here:

"Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers"
Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
Journal of High Energy Physics (JHEP), 1602:047, 2016
https://doi.org/10.1007/JHEP02(2016)047
http://arxiv.org/abs/1510.01744

geometric unification of supersymmetric gauge theories across spacetime dimensions

Calabi-Yau mirror symmetry leads to a geometric unification of dualities in different spacetime dimensions. This allows us to make use of Calabi-Yau mirror symmetry to conjecture new gauge theory phenomena in different spacetime dimensions.

More about this work can be found here:

"Brane Brick Models in the Mirror"
Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa
Journal of High Energy Physics (JHEP), 1702:106, 2017
https://doi.org/10.1007/JHEP02(2017)106
http://arxiv.org/abs/1609.01723

exploration of hidden mathematical structures with physical implications

By studying various geometrical quantities for Calabi-Yau varieties realized as cones over Gorenstein Fano varieties, we were able to conjecture new bounds for the Sasaki-Einstein volume corresponding to these Calabi-Yau varities. 

More about this work can be found here:

"Calabi-Yau Volumes and Reflexive Polytopes"
Yang-Hui He, Rak-Kyeong Seong, Shing-Tung Yau
Communications in Mathematical Physics, 361, 155–204 (2018)
https://doi.org/10.1007/s00220-018-3128-6
https://arxiv.org/abs/1704.03462

Research Collaborators

Sebastian Franco (CUNY, New York, USA)
Amihay Hanany (Imperial College London, UK)
Sangmin Lee (Seoul National University, Korea)
Dongwook Ghim (RIKEN, Tokyo, Japan)
Vishnu Jejjala (University of Witwatersrand, South Africa)
Stefano Cremonesi (Durham University, UK)
Cumrun Vafa (Harvard University, Boston, USA)
Sanjaye Ramgoolam (Queen Mary, University of London, UK)
Kazuo Hosomichi (National Defence Academy, Japan)
Yang-Hui He (London Institute for Mathematical Sciences, UK)
Sergei Gukov (California Institute of Technology, USA)
Massimo Bianchi (University of Rome, Italy)
Daniel Krefl (University of Lausanne, Switzerland)
James Sparks (University of Oxford, UK)
Shing-Tung Yau (Harvard University, USA / Tsinghua University, China)
Diego Rodriguez-Gomez (University of Oviedo, Spain)
Cyril Closset (Birmingham University, UK)
Masahito Yamazaki (University of Tokyo, Japan)
Jose Francisco Morales (University of Rome, Italy)
Anindya Dey (Johns Hopkins University, USA)
Noppadol Mekareeya (Milano-Bicocca, Italy)
Chiung Hwang (CUST, Hefei, China)
Jiakang Bao (University of Tokyo, Japan)
Georgios P. Goulas (CUNY, New York, USA)
Daisuke Yokoyama (Meiji University, Japan)
Seiji Terashima (Kyoto University, Japan)
Jaemo Park (POSTECH, Korea)

arXiv

arXiv pre-prints
Rak-Kyeong Seong

GoogleScholar

Google Scholar Profile
Rak-Kyeong Seong

iNSPIREHEP

https://inspirehep.net/authors/
1069262

LinkedIn
rak-kyeong-seong-16502268


Twitter/X
@rak_seong

YouTube
@rakkyeongseong