nLab Nikita Nekrasov

Nikita Alexandrovich Nekrasov

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Selected writings

On noncommutative field theory (QFT on noncommutative spacetimes):

• Michael R. Douglas, Nikita A. Nekrasov: Noncommutative Field Theory, Rev. Mod. Phys. 73 977 (2001) [doi:10.1103/RevModPhys.73.977, arXiv:hep-th/0106048]

On Lorentzian orbifolds as target spacetimes in string theory:

• Nikita Nekrasov, Milne Universe, Tachyons, and Quantum Group, Surveys High Energ. Phys. 17 (2002) 115-124 (arXiv:hep-th/0203112)

On the Gromov-Witten/Donaldson-Thomas correspondence:

• Davesh Maulik, Nikita Nekrasov, Andrei Okounkov, Rahul Pandharipande, Gromov–Witten theory and Donaldson–Thomas theory, I. Compositio Mathematica. 142 (5): 1263–1285. (2003) (arXiv:math/0312059. doi:10.1112/S0010437X06002302)

On Knizhnik-Zamolodchikov equations controlling codimension$=2$ defects in D=4 super Yang-Mills theory:

• Nikita Nekrasov, BPS/CFT correspondence V: BPZ and KZ equations from $q q$-characters [arXiv:1711.11582]

• Nikita Nekrasov, Alexander Tsymbaliuk, Surface defects in gauge theory and KZ equation, Letters in Mathematical Physics 112 28 (2022) [arXiv:2103.12611, doi:10.1007/s11005-022-01511-8]

• Saebyeok Jeong, Norton Lee, Nikita Nekrasov, Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations, J. High Energ. Phys. 2021 120 (2021) [arXiv:2103.17186, doi:10.1007/JHEP10(2021)120]

A symplecto/Poisson geometrically organized account of ideal relativistic hydrodynamics:

• Nikita Nekrasov, Paul Wiegmann: Fluid dynamics as intersection problem [arXiv:2512.25053]

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