nLab Yuji Tachikawa

• webpage

Selected writings

On the AGT correspondence:

• Luis Alday, Davide Gaiotto, Yuji Tachikawa, Liouville Correlation Functions from Four-dimensional Gauge Theories, Lett.Math.Phys.91:167-197, 2010 (arXiv:0906.3219)

On 5-brane webs and D=4 N=2 super Yang-Mills theory:

• Francesco Benini, Sergio Benvenuti, Yuji Tachikawa, Webs of five-branes and $\mathcal{N}=2$ superconformal field theories, JHEP 0909:052 (2009) [arXiv:0906.0359]

On D=4 N=2 super Yang-Mills theory:

• Yuji Tachikawa, $\mathcal{N}=2$ supersymmetric dynamics for pedestrians, Lecture Notes in Physics 890 (2014) [arXiv:1312.2684, doi:10.1007/978-3-319-08822-8, also “…for dummies”: webpage, pdf]

On anomaly cancellation in D=6 N=(2,0) SCFT and D=6 N=(1,0) SCFT:

and their anomaly cancellation via the Green-Schwarz mechanism:

• Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Anomaly polynomial of E-string theories, J. High Energ. Phys. 2014, 2 (2014) (arXiv:1404.3887)

• Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Kazuya Yonekura, Anomaly polynomial of general 6d SCFTs, Progress of Theoretical and Experimental Physics, Volume 2014, Issue 10, October 2014, 103B07 (arXiv:1408.5572)

On generalized global symmetries and their gauging:

• Lakshya Bhardwaj, Yuji Tachikawa. On finite symmetries and their gauging in two dimensions, J. High Energ. Phys. 2018 189 (2018) [arXiv:1704.02330, doi:10.1007/JHEP03(2018)189]

Relation of the GSO projection to the K-theory classification of topological phases of matter:

• Justin Kaidi, Julio Parra-Martinez, Yuji Tachikawa, Topological Superconductors on Superstring Worldsheets (arXiv:1911.11780)

On the WZW term in chiral perturbation theory:

• Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa, Revisiting Wess-Zumino-Witten terms (arXiv:2009.00033)

On lifting the Witten genus of the heterotic string to topological modular forms:

• Yuji Tachikawa, Topological modular forms and the absence of a heterotic global anomaly, Progress of Theoretical and Experimental Physics, 2022 4 (2022) 04A107 $[$arXiv:2103.12211, doi:10.1093/ptep/ptab060$]$

• Yuji Tachikawa, Mayuko Yamashita, Topological modular forms and the absence of all heterotic global anomalies, Comm. Math. Phys. 402 (2023) 1585-1620 [arXiv:2108.13542, doi:10.1007/s00220-023-04761-2]

and in relation to Anderson duality of tmf:

• Yuji Tachikawa, Mayuko Yamashita, Anderson self-duality of topological modular forms, its differential-geometric manifestations, and vertex operator algebras [arXiv:2305.06196]

On anomaly cancellation via the Green-Schwarz mechanism from the point of view of higher gauge theory:

• Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa, Matching higher symmetries across Intriligator-Seiberg duality (arXiv:2108.05369)

On non-supersymmetric branes in heterotic string theory:

• Justin Kaidi, Kantaro Ohmori, Yuji Tachikawa, Kazuya Yonekura, Non-supersymmetric heterotic branes [arXiv:2303.17623]

• Justin Kaidi, Yuji Tachikawa, Kazuya Yonekura: On non-supersymmetric heterotic branes [arXiv:2411.04344]

On the mod-2 elliptic genus, both as a partition function of a superstring as well as via the string-orientation of tmf:

• Yuji Tachikawa, Mayuko Yamashita, Kazuya Yonekura, Remarks on mod-2 elliptic genus [arXiv:2302.07548]

On tmf as classifying certain torsion topological terms in heterotic string theory:

• Yuji Tachikawa, Hao Y. Zhang, On a $\mathbb{Z}_3$-valued discrete topological term in 10d heterotic string theories* [arXiv:2403.08861]

On quantum anomaly-cancellation in type I string theory via RR-field flux quantization in KO:

• Saghar S. Hosseini, Yuji Tachikawa, Hao Y. Zhang: Type I anomaly cancellation revisited [arXiv:2505.07933]

Related entries

• AGT correspondence

• FQFT

category: people