YMSC String Group | Junya Yagi

String Theory Group at YMSC

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Junya Yagi

Assistant Professor, Yau Mathematical Sciences Center, Tsinghua University

Basic Information

Email: junyagi (at) tsinghua.edu.cn
Office: Jing Zhai 318

Research Areas

Theoretical physics, supersymmetric quantum field theory, topological field theory, integrable models, M-theory, the AGT correspondence, quantum groups, and the tetrahedron equation.

Education

1999-2002, B.S., Chiba University.
2002-2003, M.S., Chiba University.
2003-2009, Ph.D., Rutgers University.

Employment

2020-present, Assistant Professor, Yau Mathematical Sciences Center, Tsinghua University.
2017-2020, Postdoctoral Researcher, Perimeter Institute for Theoretical Physics.
2015-2017, Research Assistant Professor, University of Warsaw.
2013-2015, INFN Postdoctoral Fellow, INFN Trieste and SISSA.
2012-2013, Research Fellow, National University of Singapore.
2011-2012, Postdoctoral Fellow, University of Hamburg.
2010-2011, Assistant Professor, Chiba University.

Research Summary

Junya Yagi studies exact correspondences among supersymmetric quantum field theory, string/M-theory, integrable lattice models, and quantum algebra. His recent work uses the tetrahedron equation, cluster transformations, state-integral models, Teichmuller TQFT, and quantized six-vertex models to understand why three-dimensional integrable structures naturally arise from gauge and string-theoretic constructions. The guiding idea is that defect operators, branes, and compactifications can turn field-theoretic dualities into algebraic relations of integrable models, making integrability a geometric consequence rather than an isolated technique.

Representative Publications

J. Yagi, “On the six-dimensional origin of the AGT correspondence,” JHEP 02 (2012) 020.
J. Yagi, “Compactification on the Omega-background and the AGT correspondence,” JHEP 09 (2012) 101.
J. Yagi, “3d TQFT from 6d SCFT,” JHEP 08 (2013) 017.
J. Yagi, “Quiver gauge theories and integrable lattice models,” JHEP 10 (2015) 065.
J. Yagi, “Surface defects and elliptic quantum groups,” JHEP 06 (2017) 013.
J. Yagi, “Integrable 3D lattice model in M-theory,” JHEP 01 (2023) 022, arXiv:2203.09706.
J. Yagi, “Tetrahedron duality,” JHEP 08 (2024) 024, arXiv:2405.02870.
K. Costello, D. Gaiotto, J. Yagi, “Q-operators are 't Hooft lines,” JHEP 11 (2024) 003.
R. Inoue, A. Kuniba, X. Sun, Y. Terashima, J. Yagi, “Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver,” SIGMA 20 (2024) 113.