Journal Publications

35. The Origin of Calabi-Yau Crystals in BPS States Counting

03.2024

Jiakang Bao, Rak-Kyeong Seong, Masahito Yamazaki
https://arxiv.org/abs/2401.02792

Journal of High Energy Physics (JHEP), 2403:140, 2024
https://doi.org/10.1007/JHEP03(2024)140

34. Machine Learning Regularization for the Minimum Volume Formula of Toric Calabi-Yau 3-folds

02.2024

Eugene Choi, Rak-Kyeong Seong
https://arxiv.org/abs/2310.19276

Physical Review D 109, 046015 (2024)
https://doi.org/10.1103/PhysRevD.109.046015

33. Unsupervised Machine Learning Techniques for Exploring Tropical Coamoeba, Brane Tilings and Seiberg Duality

09.2023

Rak-Kyeong Seong
https://arxiv.org/abs/2309.05702

Physical Review D 108, 106009 (2023)
https://doi.org/10.1103/PhysRevD.108.106009

32. Mass Deformations of Brane Brick Models

09.2023

Sebastian Franco, Dongwook Ghim, Georgios P. Goulas, Rak-Kyeong Seong
https://arxiv.org/abs/2307.03220

Journal of High Energy Physics (JHEP), 2309:176, 2023
https://doi.org/10.1007/JHEP09(2023)176

31. On the Master Space of Brane Brick Models

09.2023

Minsung Kho, Rak-Kyeong Seong
https://arxiv.org/abs/2306.16616

Journal of High Energy Physics (JHEP), 2309:150, 2023
https://doi.org/10.1007/JHEP09(2023)150

30. Twin Theories, Polytope Mutations and Quivers for GTPs

07.2023

Sebastian Franco, Rak-Kyeong Seong
https://arxiv.org/abs/2302.10951

Journal of High Energy Physics (JHEP), 2307:034, 2023
https://doi.org/10.1007/JHEP07(2023)034

29. Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)

03.2023

Sebastian Franco, Dongwook Ghim, Rak-Kyeong Seong
https://arxiv.org/abs/2212.02523

Journal of High Energy Physics (JHEP), 2303:050, 2023
https://doi.org/10.1007/JHEP03(2023)050

28. Fano 3-Folds, Reflexive Polytopes and Brane Brick Models

08.2022

Sebastian Franco, Rak-Kyeong Seong
https://arxiv.org/abs/2203.15816

Journal of High Energy Physics (JHEP), 2208:008, 2022
https://doi.org/10.1007/JHEP08(2022)008

27. Topology for Substrate Routing in Semiconductor Package Design

05.2021

Rak-Kyeong Seong, Jaeho Yang, Sang-Hoon Han
https://arxiv.org/abs/2105.07892

Coumputer-Aided Design (CAD). 2022:149, 103269
https://doi.org/10.1016/j.cad.2022.103269

26. "Lagrangian Disks" in M-Theory

11.2020

Sebastian Franco, Sergei Gukov, Sangmin Lee, Rak-Kyeong Seong, James Sparks
https://arxiv.org/abs/1910.01645

Journal of High Energy Physics (JHEP), 2011:033,2020
https://doi.org/10.1007/JHEP11(2020)033

25. Supersymmetric Gauged Matrix Models from Dimensional Reduction on a Sphere

05.2018

Cyril Closset, Dongwook Ghim, Rak-Kyeong Seong
https://arxiv.org/abs/1712.10023

Journal of High Energy Physics (JHEP), 1805:026, 2018
https://doi.org/10.1007/JHEP05(2018)026

24. Machine Learning of Calabi-Yau Volumes

09.2017

Daniel Krefl, Rak-Kyeong Seong
https://arxiv.org/abs/1706.03346

Physical Review D 96, 066014 (2017)
https://doi.org/10.1103/PhysRevD.96.066014

23. Calabi-Yau Volumes and Reflexive Polytopes

04.2018

Yang-Hui He, Rak-Kyeong Seong, Shing-Tung Yau
https://arxiv.org/abs/1704.03462

Communications Mathematical Physics, 361, 155–204 (2018)
https://doi.org/10.1007/s00220-018-3128-6

22. Elliptic Genera of 2d (0,2) Gauge Theories from Brane Brick Models

06.2017

Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong
https://arxiv.org/abs/1702.02948

Journal of High Energy Physics (JHEP), 1706:068, 2017
https://doi.org/10.1007/JHEP06(2017)068

21. Quadrality for Supersymmetric Matrix Models

07.2017

Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa
https://arxiv.org/abs/1612.06859

Journal of High Energy Physics (JHEP), 1707:053, 2017
https://doi.org/10.1007/JHEP07(2017)053

20. Orbifold Reduction and 2d (0,2) Gauge Theories

03.2017

Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
http://arxiv.org/abs/1609.07144

Journal of High Energy Physics (JHEP), 1703:016, 2017
https://doi.org/10.1007/JHEP03(2017)016

19. Brane Brick Models in the Mirror

09.2016

Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong, Cumrun Vafa
http://arxiv.org/abs/1609.01723

Journal of High Energy Physics (JHEP), 1702:106, 2017
https://doi.org/10.1007/JHEP02(2017)106

18. Brane Brick Models and 2d (0,2) Triality

05.2016

Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
http://arxiv.org/abs/1602.01834

Journal of High Energy Physics (JHEP), 1605:020, 2016
https://doi.org/10.1007/JHEP05(2016)020

17. Consistency and Derangements in Brane Tilings

07.2016

Amihay Hanany, Vishnu Jejjala, Sanjaye Ramgoolam, Rak-Kyeong Seong
http://arxiv.org/abs/1512.09013

Journal of Physics A, 49 (2016) 355401
https://doi.org/10.1088/1751-8113/49/35/355401

16. Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0,2) Quivers

10.2015

Sebastian Franco, Sangmin Lee, Rak-Kyeong Seong
http://arxiv.org/abs/1510.01744

Journal of High Energy Physics (JHEP), 1602:047, 2016
https://doi.org/10.1007/JHEP02(2016)047

15. 2d (0,2) Quiver Gauge Theories and D-branes

09.2015

Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong, Daisuke Yokoyama
http://arxiv.org/abs/1506.03818

Journal of High Energy Physics (JHEP), 1509:072, 2015
https://doi.org/10.1007/JHEP09(2015)072

14. Hilbert Series for Theories with Aharony Duals

11.2015

Amihay Hanany, Chiung Hwang, Hyungchul Kim, Jaemo Park, Rak-Kyeong Seong
http://arxiv.org/abs/1505.02160

Journal of High Energy Physics (JHEP), 1511:132, 2015
https://doi.org/10.1007/JHEP11(2015)132

13. Mass-deformed Brane Tilings

10.2014

Massimo Bianchi, Stefano Cremonesi, Amihay Hanany, Jose Francisco Morales, Daniel Ricci Pacifici, Rak-Kyeong Seong
http://arxiv.org/abs/1408.1957

Journal of High Energy Physics (JHEP), 1410:027, 2014
https://doi.org/10.1007/JHEP10(2014)027

12. Hilbert Series and Moduli Spaces of k U(N) Vortices

02.2015

Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1403.4950

Journal of High Energy Physics (JHEP), 1502:012, 2015
https://doi.org/10.1007/JHEP02(2015)012

11. Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n

01.2014

Anindya Dey, Amihay Hanany, Noppadol Mekareeya, Diego Rodriguez-Gomez, Rak-Kyeong Seong
http://arxiv.org/abs/1309.0812

Journal of High Energy Physics (JHEP), 1401:182, 2014
https://doi.org/10.1007/JHEP01(2014)182

10. Double Handled Brane Tilings

10.2013

Stefano Cremonesi, Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1305.3607

Journal of High Energy Physics (JHEP), 1310:001, 2013
https://doi.org/10.1007/JHEP10(2013)001

9. New Directions in Bipartite Field Theories

06.2013

Sebastian Franco, Daniele Galloni, Rak-Kyeong Seong
http://arxiv.org/abs/1211.5139

Journal of High Energy Physics (JHEP), 1306:032, 2013
https://doi.org/10.1007/JHEP06(2013)032

8. Brane Tilings and Specular Duality

08.2012

Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1206.2386

Journal of High Energy Physics (JHEP), 1208:107, 2012
https://doi.org/10.1007/JHEP08(2012)107

7. Supersymmetric Gauge Theories on the Five-Sphere

12.2012

Kazuo Hosomichi, Rak-Kyeong Seong, Seiji Terashima
http://arxiv.org/abs/1203.0371

Nuclear Physics B 865:376-396, 2012
https://doi.org/10.1016/j.nuclphysb.2012.08.007

6. Brane Tilings and Reflexive Polygons

03.2012

Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1201.2614

Progress of Physics,.60:695-803, 2012
https://doi.org/10.1002/prop.201200008

5. Calabi-Yau Orbifolds and Torus Coverings

09.2011

Amihay Hanany, Vishnu Jejjala, Sanjaye Ramgoolam, Rak-Kyeong Seong
http://arxiv.org/abs/1105.3471

Journal of High Energy Physics (JHEP), 1109:116, 2011
https://doi.org/10.1007/JHEP09(2011)116

4. An Introduction to Counting Orbifolds

03.2011

John Davey, Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1102.0015

Progress of Physics, 59:677-682, 2011
https://doi.org/10.1002/prop.201100013

3. Symmetries of Abelian Orbifolds

01.2011

Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1009.3017

Journal of High Energy Physics (JHEP), 1101:027, 2011
https://doi.org/10.1007/JHEP01(2011)027

2. Counting Orbifolds

06.2010

John Davey, Amihay Hanany, Rak-Kyeong Seong
http://arxiv.org/abs/1002.3609

Journal of High Energy Physics (JHEP), 1006:010, 2010
https://doi.org/10.1007/JHEP06(2010)010

1. Statistical topology of radial networks: a case study of tree leaves

10.2011

Rak-Kyeong Seong, Carolyn M. Salafia, Dimitri D. Vvedensky
http://arxiv.org/abs/1002.3609

Philosophical Magazine, Volume 92, Issue 1-3, 2012
https://doi.org/10.1080/14786435.2011.614965

Pre-prints

PP2. Topology and Routing Problems: The Circular Frame

05.2021

Rak-Kyeong Seong, Chanho Min, Sang-Hoon Han, Jaeho Yang, Seungwoo Nam, Kyusam Oh
https://arxiv.org/abs/2105.03386

(submitted)

PP1. Statistical thermodynamics and weighted topology of radial networks

05.2010

Rak-Kyeong Seong, Dimitri D. Vvedensky
http://arxiv.org/abs/1005.3019

(pre-print)

Books and Chapters

B2. Calabi-Yau Volumes, Reflexive Polytopes and Machine Learning

07.2023

Rak-Kyeong Seong

"Machine Learning in Pure Mathematics and Theoretical Physics"
World Scientific
ISBN: 978-1-80061-369-0
https://doi.org/10.1142/9781800613706_0010

B1. Statistical Geometry and Topology of the Human Placenta

09.2012

Rak-Kyeong Seong, Pascal Getreuer, Yingying Li, Theresa Girardi, Carolyn M. Salafia, Dimitri D. Vvedensky

"Advances in Applied Mathematics, Modeling, and Computational Science"
Fields Institute Communications Volume 66, 2013, pp 187-208
ISBN: 978-1-4614-5388-8
https://doi.org/10.1007/978-1-4614-5389-5_8

Patents

P2. Method of Circular Frame Generation for Path Routing in Multilayer Structure, and Computing Device

11.2022

Rak-Kyeong Seong, Chanho Min

Assignee: Samsung SDS
U.S. Patent (No. US 11,512,960 B2)
Date of Patent: November 29, 2022

P1. Method and apparatus for path routing

04.2022

Rak-Kyeong Seong, Jaeho Yang, Sang Hoon Han, Joung Oh Yun

Assignee: Samsung SDS
U.S. Patent (No. US 11,314,918 B1)
Date of Patent: April 26, 2022