谢丹-清华大学数学科学系

清华大学长聘教授。博士(Texas A&M 大学， 2011)

2018.11–现在，清华大学长聘教授

2014.7–2018.7，美国哈佛大学，博士后

2011.09–2014.06，美国普林斯顿高等研究院，博士后

研究方向为数学物理，主要研究超对称场论和超弦理论中各种物理和数学问题，近年来主要关注超对称场论和代数几何，低维拓扑，以及表示论的关系。

另一研究方向为机器学习的数学原理，以及物理方法在机器学习中的应用。

课程：

量子力学（2021，2022）

量子场论（2020）

广义相对论（2019）

理科线性代数（2019，2020）

Introduction to W algebra (2019)

机器学习的数学方法（2020）

[59] B. Li, D. Xie, and W. Yan, Superconformal indices of N = 4 Chern-Simons matter theories, arXiv:2305.0878.
[58] D. Xie, Pseudo-periodic map and classification of theories with eight supercharges, arXiv:2304.1366.
[57] B. Li, D. Xie, and W. Yan, “On low rank 4d N = 2 SCFTs,” arXiv:2212.03089 [hep-th].
[56] D. Xie, “On rank two theories with eight supercharges part I: local singularities,” arXiv:2212.02472 [hep-th].
[55] D. Xie, “Classification of rank one 5d N = 1 and 6d (1, 0) SCFTs,” arXiv:2210.17324 [hep-th].
[54] D. Xie, W. Yan, and S.-T. Yau, “Chiral algebra of the Argyres-Douglas theory from M5 branes,” Phys. Rev. D 103 (2021) no. 6, 065003, arXiv:1604.02155 [hep-th].
[53] D. Xie and W. Yan, “A study of N =1 SCFT derived from N =2 SCFT: index and chiral ring,” arXiv:2109.04090 [hep-th].
[52] D. Xie and D. Zhang, “Mixed Hodge structure and N = 2 Coulomb branch solution,”arXiv:2107.11180 [hep-th].
[51] D. Xie, “3d mirror for Argyres-Douglas theories,” arXiv:2107.05258 [hep-th].
[50] D. Xie and W. Yan, “4d N = 2 SCFTs and lisse W-algebras,” JHEP 04 (2021) 271, arXiv:1910.02281 [hep-th].
[49] D. Xie, “Soft supersymmetry breaking of 4d N = 2 SCFT,” arXiv:1905.00345 [hep-th].
[48] D. Xie and W. Yan, “Schur sector of Argyres-Douglas theory and W -algebra,” SciPost Phys. 10 (2021) no. 3, 080, arXiv:1904.09094 [hep-th].
[47] D. Xie and S.-T. Yau, “Singularity, Sasaki-Einstein manifold, Log del Pezzo surface and N = 1 AdS/CFT correspondence: Part I,” arXiv:1903.00150 [hep-th].
[46] D. Xie and W. Yan, “W algebras, cosets and VOAs for 4d N = 2 SCFTs from M5 branes,” JHEP 04 (2021) 076, arXiv:1902.02838 [hep-th].

[45] Y. Wang and D. Xie, “Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d (2, 0) theories,” Phys. Rev. D 100 (2019) no. 2, 025001, arXiv:1805.08839 [hep-th].
[44] S. Li, D. Xie, and S.-T. Yau, “Seiberg–Witten Differential via Primitive Forms,” Commun. Math. Phys. 367 (2019) no. 1, 193–214, arXiv:1802.06751 [hep-th].
[43] T. C. Collins, D. Xie, and S.-T. Yau, “The deformed Hermitian-Yang-Mills equation in geometry and physics,” in Nigel Hitchin’s 70th Birthday Conference. 12, 2017. arXiv:1712.00893 [math.DG].
[42] B. Chen, D. Xie, S. S. T. Yau, S.-T. Yau, and H. Zuo, “4d N = 2 SCFT and singularity theory Part III: Rigid singularity,” Adv. Theor. Math. Phys. 22 (2018) 1885–1905, arXiv:1712.00464 [hep-th].
[41] D. Xie and K. Ye, “Argyres-Douglas matter and S-duality: Part II,” JHEP 03 (2018) 186, arXiv:1711.06684 [hep-th].
[40] D. Xie, “N = 2 SCFT with minimal flavor central charge,” arXiv:1712.03244 [hep-th].
[39] J. Song, D. Xie, and W. Yan, “Vertex operator algebras of Argyres-Douglas theories from M5-branes,” JHEP 12 (2017) 123, arXiv:1706.01607 [hep-th].
[38] D. Xie and S.-T. Yau, “Three dimensional canonical singularity and five dimensional N = 1 SCFT,” JHEP 06 (2017) 134, arXiv:1704.00799 [hep-th].
[37] D. Xie and S.-T. Yau, “Argyres-Douglas matter and N=2 dualities,” arXiv:1701.01123 [hep-th].
[36] T. C. Collins, D. Xie, and S.-T. Yau, “K stability and stability of chiral ring,” arXiv:1606.09260 [hep-th].
[35] Y. Wang, D. Xie, S. S. T. Yau, and S.-T. Yau, “4d N = 2 SCFT from complete intersection singularity,” Adv. Theor. Math. Phys. 21 (2017) 801–855, arXiv:1606.06306 [hep-th].
[34] B. Chen, D. Xie, S.-T. Yau, S. S. T. Yau, and H. Zuo, “4D N = 2 SCFT and singularity theory. Part II: complete intersection,” Adv. Theor. Math. Phys. 21 (2017) 121–145, arXiv:1604.07843 [hep-th].
[33] D. Xie and K. Yonekura, “Search for a Minimal N=1 Superconformal Field Theory in 4D,” Phys. Rev. Lett. 117 (2016) no. 1, 011604, arXiv:1602.04817 [hep-th].
[32] D. Xie and S.-T. Yau, “New N = 2 dualities,” arXiv:1602.03529 [hep-th].
[31] D. Xie and S.-T. Yau, “Semicontinuity of 4d N=2 spectrum under renormalization group flow,” JHEP 03 (2016) 094, arXiv:1510.06036 [hep-th].
[30] D. Xie and S.-T. Yau, “4d N=2 SCFT and singularity theory Part I: Classification,” arXiv:1510.01324 [hep-th].
[29] Y. Wang and D. Xie, “Classification of Argyres-Douglas theories from M5 branes,” Phys. Rev. D94 (2016) no. 6, 065012, arXiv:1509.00847 [hep-th].
[28] M. Del Zotto, C. Vafa, and D. Xie, “Geometric engineering, mirror symmetry and 6d(1,0) → 4d(N=2),” JHEP 11 (2015) 123, arXiv:1504.08348 [hep-th].
[27] D. Xie, “N=1 Curve,” arXiv:1409.8306 [hep-th].
[26] D. Xie and K. Yonekura, “The moduli space of vacua of N = 2 class S theories,” JHEP 10 (2014) 134, arXiv:1404.7521 [hep-th].
[25] Y.-t. Huang, C. Wen, and D. Xie, “The Positive orthogonal Grassmannian and loop amplitudes of ABJM,” J. Phys. A47 (2014) no. 47, 474008, arXiv:1402.1479 [hep-th].
[24] D. Xie, “Aspects of line operators of class S theories,” arXiv:1312.3371 [hep-th].
[23] D. Xie, “Three dimensional Seiberg-like duality and tropical cluster algebra,” arXiv:1311.0889 [hep-th].

[22] D. Xie and K. Yonekura, “Generalized Hitchin system, Spectral curve and N = 1 dynamics,” JHEP 1401 (2014) 001, arXiv:1310.0467 [hep-th].
[21] D. Xie, “M5 brane and four dimensional N = 1 theories I,” JHEP 1404 (2014) 154, arXiv:1307.5877 [hep-th].
[20] D. Xie, “Higher laminations, webs and N=2 line operators,” arXiv:1304.2390 [hep-th].
[19] D. Xie and P. Zhao, “Central charges and RG flow of strongly-coupled N=2 theory,” JHEP 1303 (2013) 006, arXiv:1301.0210.
[18] D. Xie, “BPS spectrum, wall crossing and quantum dilogarithm identity,” Adv. Theor. Math. Phys. 20 (2016) 405–524, arXiv:1211.7071 [hep-th].
[17] J. J. Heckman, C. Vafa, D. Xie, and M. Yamazaki, “String Theory Origin of Bipartite SCFTs,” JHEP 1305 (2013) 148, arXiv:1211.4587 [hep-th].
[16] D. Xie, “Network, cluster coordinates and N = 2 theory II: Irregular singularity,” arXiv:1207.6112 [hep-th].
[15] D. Xie and M. Yamazaki, “Network and Seiberg Duality,” JHEP 1209 (2012) 036, arXiv:1207.0811 [hep-th].
[14] D. Xie, “General Argyres-Douglas Theory,” JHEP 1301 (2013) 100, arXiv:1204.2270 [hep-th].
[13] D. Xie, “Network, Cluster coordinates and N=2 theory I,” arXiv:1203.4573 [hep-th].
[12] D. Nanopoulos and D. Xie, “More Three Dimensional Mirror Pairs,” JHEP 1105 (2011) 071, arXiv:1011.1911 [hep-th].
[11] F. Benini, Y. Tachikawa, and D. Xie, “Mirrors of 3d Sicilian theories,” JHEP 1009 (2010) 063, arXiv:1007.0992 [hep-th].
[10] D. Nanopoulos and D. Xie, “N = 2 Generalized Superconformal Quiver Gauge Theory,” JHEP 1209 (2012) 127, arXiv:1006.3486 [hep-th].
[9] D. Nanopoulos and D. Xie, “Hitchin Equation, Irregular Singularity, and N = 2 Asymptotical Free Theories,” arXiv:1005.1350 [hep-th].
[8] D. Nanopoulos and D. Xie, “Hitchin Equation, Singularity, and N=2 Superconformal Field Theories,” JHEP 1003 (2010) 043, arXiv:0911.1990 [hep-th].
[7] D. V. Nanopoulos and D. Xie, “On Crossing Symmmetry and Modular Invariance in Conformal Field Theory and S Duality in Gauge Theory,” Phys.Rev. D80 (2009) 105015, arXiv:0908.4409 [hep-th].
[6] D. Nanopoulos and D. Xie, “N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter,” JHEP 0908 (2009) 108, arXiv:0907.1651 [hep-th].
[5] J. Jiang, T. Li, D. V. Nanopoulos, and D. Xie, “Flipped SU(5) x U(1)(X) Models from F-Theory,” Nucl.Phys. B830 (2010) 195–220, arXiv:0905.3394 [hep-th].
[4] T. Li, N. E. Mavromatos, D. V. Nanopoulos, and D. Xie, “Time Delays of Strings in D-particle Backgrounds and Vacuum Refractive Indices,” Phys.Lett. B679 (2009) 407–413, arXiv:0903.1303 [hep-th].
[3] J. Jiang, T. Li, D. V. Nanopoulos, and D. Xie, “F-SU(5),” Phys. Lett. B677 (2009) 322–325, arXiv:0811.2807 [hep-th].
[2] T. Li, Y. Liu, and D. Xie, “Multiple D2-Brane Action from M2-Branes,” Int.J.Mod.Phys. A24 (2009) 3039–3052, arXiv:0807.1183 [hep-th].
[1] D. V. Nanopoulos and D. Xie, “Supercriticality of a class of critical string cosmological solutions,” Phys.Rev. D78 (2008) 044038, arXiv:0710.2312 [hep-th].

数学物理要求：量子场论及弦论基础，代数几何，复几何及表示论基础

机器学习要求：概率统计及统计推断，信息理论，统计物理等