nLab Alexander Popov

Selected writings

A derivation of 4d Skyrmions by KK-compactification of D=5 Yang-Mills theory on a closed interval, motivated by M5-branes instead of by D4/D8-brane intersections as in the Sakai-Sugimoto model:

• Tatiana Ivanova, Olaf Lechtenfeld, Alexander Popov, Skyrme model from 6d $\mathcal{N}= (2,0)$ theory, Physics Letters B Volume 783, 10 August 2018, Pages 222-226 (arXiv:1805.07241)

with related discussion in

• Tatiana Ivanova, Olaf Lechtenfeld, Alexander Popov, Non-Abelian sigma models from Yang-Mills theory compactified on a circle, Physics Letters B Volume 781, 10 June 2018, Pages 322-326 (arXiv:1803.07322)

• Olaf Lechtenfeld, Alexander D. Popov, Skyrme-Faddeev model from 5d super-Yang-Mills, Phys. Lett. B 786 (2018) 39-44 [doi:10.1016/j.physletb.2018.09.028, arXiv:1807.11803]

• Olaf Lechtenfeld, Alexander D. Popov, Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories, Nuclear Physics B 945 (2019) 114675 [doi:10.1016/j.nuclphysb.2019.114675, arXiv:1808.08972]

On geometric quantization of the harmonic oscillator:

• Alexander D. Popov, Quantum charges of harmonic oscillators [arXiv:2404.01756]