nLab Babak Haghighat

• personal page

• YMSC institute page

• YMSC research group page

• BIMSA page

• InSpire page

• GoogleScholar page

Selected writings

On the M5-brane elliptic genus:

• Murad Alim, Babak Haghighat, Michael Hecht, Albrecht Klemm, Marco Rauch, Thomas Wotschke, Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes, Comm. Math. Phys. 339 (2015) 773–814 [arXiv:1012.1608, doi:10.1007/s00220-015-2436-3]

On M-strings:

• Babak Haghighat, Amer Iqbal, Can Kozcaz, Guglielmo Lockhart, Cumrun Vafa, M-Strings, Commun. Math. Phys. 334, 779–842 (2015) (arXiv:1305.6322, doi:10.1007/s00220-014-2139-1)

• Babak Haghighat, Can Kozcaz, Guglielmo Lockhart, Cumrun Vafa, On orbifolds of M-Strings, Physical Review D 89.4 (2014): 046003 (arXiv:1310.1185)

On E-strings:

• Babak Haghighat, Guglielmo Lockhart, Cumrun Vafa, Fusing E-string to heterotic string: $E + E \to H$, Phys. Rev. D 90, 126012 (2014) (arXiv:1406.0850)

and emergence of SU(2) flavor-symmetry on M5-branes in heterotic M-theory (in the D=6 N=(1,0) SCFT on small instantons in heterotic string theory):

• Abhijit Gadde, Babak Haghighat, Joonho Kim, Seok Kim, Guglielmo Lockhart, Cumrun Vafa, 6d String Chains, JHEP 1802 (2018) 143 [arXiv:1504.04614]

On quantum Seiberg-Witten curves in relation to class S-theories and “M3”-defect branes inside M5-branes:

• Jin Chen, Babak Haghighat, Hee-Cheol Kim, Marcus Sperling, Elliptic Quantum Curves of Class $\mathcal{S}_k$, J. High Energ. Phys. 2021 28 (2021) [arXiv:2008.05155, doi:10.1007/JHEP03(2021)028]

On quantum Seiberg-Witten curves of E-string-theories in relation to D6-D8-brane bound states:

• Jin Chen, Babak Haghighat, Hee-Cheol Kim, Marcus Sperling, Xin Wang, E-string Quantum Curve, Nuclear Physics B 973 (2021) 115602 [arXiv:2103.16996, doi:10.1016/j.nuclphysb.2021.115602]

On KK-compactification of D=6 N=(2,0) SCFT on Riemann surfaces 4d superconformal gauge field theory:

• Jin Chen, Babak Haghighat, Shuwei Liu, Marcus Sperling, 4d $\mathcal{N}=1$ from 6d D-type $\mathcal{N}=(1,0)$, J. High Energ. Phys. 2020 152 (2020) [arXiv:1907.00536, doi:10.1007/JHEP01(2020)152]

On braid group representations for su(2)-anyon-statistics from the monodromy of the Knizhnik-Zamolodchikov connection of bundles of conformal blocks over configuration spaces of points:

• Xia Gu, Babak Haghighat, Yihua Liu, Ising- and Fibonacci-Anyons from KZ-equations, J. High Energ. Phys. 2022 15 (2022) [arXiv:2112.07195, doi:10.1007/JHEP09(2022)015]

On defects in the KK-compactification of the D=6 N=(2,0) SCFT on 4-manifolds:

• Jin Chen, Wei Cui, Babak Haghighat, Yi-Nan Wang, SymTFTs and Duality Defects from 6d SCFTs on 4-manifolds, JHEP 2023 208 (2023) [arXiv:2305.09734, doi:10.1007/JHEP11(2023)208]

On conformal blocks for Liouville theory:

• Babak Haghighat, Yihua Liu, Nicolai Reshetikhin, Flat Connections from Irregular Conformal Blocks [arXiv:2311.07960]

• Xia Gu, Babak Haghighat, Kevin Loo, Irregular Fibonacci Conformal Blocks [arXiv:2311.13358]

category: people