Research Areas

Mathematical structure and physics of supersymmetric gauge theories,including the dualities in supersymmetry, the relation between supersymmetric gauge theory and integrable model.

Education

2019.09-2022.06 Ph.D. in Theoretical Physics Fudan University

2016.09 - 2019.06 M.S. in Theoretical Physics  Lanzhou University

2012.09 - 2016.06 B.S. in Applied Chemistry Tiangong University

Research Achievements

2020-2022 Research on Supersymmetric Gauge Theories

The research is about a 3d 𝒩 = 4 unitary/orthosymplectic duality. We checked the duality by computing three kinds of exact partition functions: superconformal index, twisted indices and 𝑆3 partition functions. We also check the effects of line defects to these exact partition functions from partition functions level and brane system level. I work on this project under Satoshi Nawata’s guidance and the help of the collaborators Marcus Sperling from Yau Mathematical Science Center of Tsinghua University and Zhenghao Zhong from Imperial College London. The paper was published in Journal of High Energy Physics.

2019-2020 Research on Knot Theory

In this research, we found an isomorphism between quadruply-graded HOMFLY-PT and Kauffman homology. Also, we put up with a closed-form expression on 𝑆𝑂(𝑁 )(𝑁 ≥ 4)quantum 6𝑗-symbols for the symmetric representation. Finally, we conjectured closed-form expressions of (𝑎, 𝑡)-deformed 𝐹𝐾 for the complements of double twist knots with positive braids and derive 𝑡-deformed ADO polynomials. This project was carried out under the guidance of Satoshi Nawata and collaborated with Hao Zhang and Yuanzhe Yang. The paper was published on Annales Henri Poincaré.

2018-2019 Research on Magnetic Skyrmion

The research studied the inner topological structure of magnetic skyrmions by using the Duan-Ge decomposition theory of the gauge potential and the local basis of 𝑠𝑢(2) Lie algebra. We proposed that the Wu-Yang potential of the magnetic skyrmion is the projection of an 𝑆𝑈 (2) flat connection 𝐴𝜇 onto the local basis of the 𝑠𝑢(2) Cartan sub-algebra, and the corresponding 𝑆𝑈 (2) Wu-Yang curvature tensor is proportional to the emergent electromagnetic field of magnetic skyrmion. The project was carried out under the guidance of Jirong Ren. The paper was published on Science China Physics, Mechanics & Astronomy.

Awards

2019-2021 Excellent Academic Scholarship for Doctoral Students of Fudan University 2016-2017 Graduate Scholarship of Lanzhou University

Publications

[1] Satoshi Nawata, Marcus Sperling, Hao Wang, Zhenghao Zhong,3d 𝒩 = 4 mirror symmetry with 1-form symmetry,SciPost Phys.15 (2023) 033, arXiv: 2301.02409

[2] Satoshi Nawata, Marcus Sperling, Hao Wang, Zhenghao Zhong, Magnetic quivers and line defects — On a duality between 3d 𝒩 = 4 unitary and orthosymplectic quivers, J. High Energ. Phys. 2022, 174 (2022）

[3] Hao Wang, Yuanzhe Jack Yang, Hao Derrick Zhang, Satoshi Nawata. On Knots,Complements, and 6j-Symbols. Annales Henri Poincaré volume 22, pages 2691–2720 (2021).

[4] Ji-Rong Ren, Hao Wang, Zhi Wang, Fei Qu. The Wu-Yang potential of magnetic skyrmion from SU(2) flat connection. Sci. China Phys. Mech. Astron. 62, 950021 （2019）.