Monica Jinwoo Kang

 

Research

  My research is focused on understanding the fundamental nature of quantum gravity, using and developing techniques from a variety of branches of theoretical physics, including but not limited to conformal field theory, supersymmetric field theory, string theory, semiclassical gravity, quantum information theory, lattice gauge theory, algebraic geometry, and operator algebras.

  The core aspect of my research program is holography, which enables lower dimensional boundary field theory to describe the emergent bulk gravity theory. My research interests are gravity theories and conformal field theories, with or without supersymmetry, via algebraic, geometric, string-theoretic, and field-theoretic perspectives. In particular, I work on supersymmetric theories from 3d to 6d (both bottom up field theoretic approach and top down string-theoretic approach), gravity theories and holographic constructions, operator-algebraic approach to AdS/CFT and entanglement entropy, and holographic codes.

Publications

  1. Monica Jinwoo Kang and Shozab Qasim, Holographic tensor network in 3d spacetime, To appear
  2. Monica Jinwoo Kang and Shozab Qasim, Modeling the spacetime lattice: discrete to continuum, To appear
  3. Elliott Gesteau and Monica Jinwoo Kang, Matilde Marcolli, Geometric construction of the bulk dual of Narain CFT, To appear
  4. Johan Asplund, Monica Jinwoo Kang, and Sungkyung Kang, Unknotting number and knot contact homology: capturing global aspect of TQFTs, To appear
  5. Jacques Distler, Monica Jinwoo Kang, and Craig Lawrie, The Higgs branch of conformal matter, To appear
  6. Monica Jinwoo Kang, Craig Lawrie, Ki-hong Lee, and Jaewon Song, The landscape of 4d N=1 SCFTs with a=c, To appear
  7. Monica Jinwoo Kang, PIMS Lecture note on elliptic fibrations and singularities to anomalies and spectra, To appear
  8. Christopher Couzens, Monica Jinwoo Kang, Craig Lawrie, Yein Lee, Holographic duals of Higgsed D_p(ABCD) (arXiv:2312.12503)
  9. Monica~Jinwoo~Kang and Sungkyung~Kang, Central extensions of higher groups: Green-Schwarz mechanism and 2-connections (arXiv:2311.14666)
  10. Elliott Gesteau and Monica Jinwoo Kang, Nonperturbative gravity corrections to bulk reconstruction, J. Phys. A: Math. Theor. 56 385401 (2023) (arXiv:2112.12789)
  11. Monica Jinwoo Kang, Craig Lawrie, Ki-hong Lee, and Jaewon Song, Emergent N=4 supersymmetry from N=1 Phys.Rev.Lett. 130 (2023) 23, 231601 (arXiv:2302.06622)
  12. Jacques Distler, Grant Elliot, Monica Jinwoo Kang, and Craig Lawrie, Isomorphisms of 4d N=2 SCFTs from 6d, Phys.Rev.D 107 (2023) 10,106005 (arXiv:2212.11983)
  13. Monica Jinwoo Kang, Craig Lawrie, Ki-hong Lee, and Jaewon Song, Operator spectroscopy for 4d SCFTs with a=c, Phys.Rev.D 107 (2023) 6, 066018 (arXiv:2210.06497)
  14. Monica Jinwoo Kang and David Kolchmeyer, Holographic Relative Entropy in Infinite-dimensional Hilbert Spaces, Commun. Math. Phys. 1 (2023) 31 (arXiv:1811.05482)
  15. Monica Jinwoo Kang, Jaeha Lee, and Hirosi Ooguri, A universal formula for the density of states with continuous symmetry, Phys.Rev.D 107 (2023) 2, 026021 (2206.14814)
  16. Nathan Benjamin Agmon, Alek Bedroya, Monica Jinwoo Kang, and Cumrun Vafa, Lectures on the string landscape and the Swampland (arXiv:2212.06187)
  17. Monica Jinwoo Kang, Craig Lawrie, Ki-hong Lee, Matteo Sacchi, and Jaewon Song, Higgs, Coulomb, and Hall--Littlewood, Phys.Rev.D 106 (2022) 10, 106021 (arXiv:2207.05764)
  18. Florent Baume, Monica Jinwoo Kang, and Craig Lawrie, Two 6d origins of 4d SCFTs: class S and 6d (1,0) on a torus, Phys.Rev.D 106 (2022) 8, 086003 (arXiv:2106.11990)
  19. Jacques Distler, Monica Jinwoo Kang, and Craig Lawrie, Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction, Phys.Rev.D 106 (2022) 6, 066011 (arXiv:2203.08829)
  20. Monica Jinwoo Kang, Craig Lawrie, Ki-hong Lee, and Jaewon song, Infinitely many 4d N=1 SCFTs with a=c, Phys.Rev.D 105 (2022) 12, 126006 (arXiv:2111.12092)
  21. Monica Jinwoo Kang, Craig Lawrie, and Jaewon song, Infinitely many 4d N=2 SCFTs with a=c and beyond, Phys.Rev.D 104 (2021) 10, 105005 (arXiv:2106.12579)
  22. Monica Jinwoo Kang and David Kolchmeyer, Entanglement Wedge Reconstruction of Infinite-dimensional von Neumann algebras using Tensor Networks, Phys.Rev.D 103 (2021) 12, 126018 (arXiv:1910.06328)
  23. Mboyo Esole and Monica Jinwoo Kang, Matter representations from geometry: under the spell of Dynkin (arXiv:2012.13401)
  24. Elliott Gesteau and Monica Jinwoo Kang, Holographic baby universes: an observable story (arXiv:2006.14620)
  25. Elliott Gesteau and Monica Jinwoo Kang, Thermal states are vital: State-dependent Entropies and Entanglement Wedge Reconstruction (arXiv:2005.07189)
  26. Elliott Gesteau and Monica Jinwoo Kang, The infinite-dimensional HaPPY code: entanglement wedge reconstruction and dynamics (arXiv:2005.05971)
  27. Mboyo Esole and Monica Jinwoo Kang, Flopping and Slicing: SO(4) and Spin(4)-models, Adv.Theor.Math.Phys. 23 (2019) 4, 1003-1066 (arXiv:1802.04802)
  28. Mboyo Esole, Patrick Jefferson, and Monica Jinwoo Kang, Euler Characteristics of Crepant Resolutions of Weierstrass Models, Commun. Math. Phys. 371 (2019) 99 (arXiv:1703.00905)
  29. Mboyo Esole and Monica Jinwoo Kang, The Geometry of the SU(2)xG2-model, JHEP 02 (2019) 091 (arXiv:1805.03214)
  30. Mboyo Esole and Monica Jinwoo Kang, 48 Crepant Paths to SU(2)xSU(3) (arXiv:1905.05174)
  31. Mboyo Esole and Monica Jinwoo Kang, Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groups (arXiv:1808.07054)
  32. Mboyo Esole and Monica Jinwoo Kang, Characteristic numbers of crepant resolutions of Weierstrass models (arXiv:1807.08755)
  33. Mboyo Esole, Monica Jinwoo Kang, and Shing-Tung Yau, Mordell-Weil Torsion, Anomalies, and Phase Transitions (arXiv:1712.02337)
  34. Mboyo Esole, Ravi Jagadeesan, and Monica Jinwoo Kang, The Geometry of G2, SO(7), and SO(8)-models (arXiv:1709.04913)
  35. Mboyo Esole, Patrick Jefferson, and Monica Jinwoo Kang. The Geometry of F4-Models (arXiv:1704.08251)
  36. Mboyo Esole, Monica Jinwoo Kang, and Shing-Tung Yau, A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations (arXiv:1410.0003)
  37. Kyung-Yuen Ham, Young Cheol Jeon, (Monica) Jinwoo Kang, Nam Kyun Kim, Wonjae Lee, Yang Lee, Sung Ju Ryu, and Hae-Hun Yang, IFP Rings and Near-IFP Rings, J Korean Math. Soc. 45 (2008), No.3, pp. 727740.
  38. (Monica) Jinwoo Kang, Young H. Kim, Jeong-Hoon Moon, Cheolho So, Kyung-soo Kim, Design of Ultrasonic Welding Horn for Microelectronic Components Bonding using Finite Element Analysis, Proceedings of Symposium on Ultrasonic Electronics, Vol.28, (2007), pp. 291-292 2 14-16