nLab Olaf Lechtenfeld

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Selected writings

On the Nicolai map:

• Olaf Lechtenfeld, Konstruktion der Nicolai-Abbildung in supersymmetrischen Feldtheorien, PhD thesis, Bonn (1984) [pdf, pdf]

• Klaus Dietz, Olaf Lechtenfeld, Nicolai maps and stochastic observables from a coupling constant flow, Nuclear Physics B 255 (1985) 149-173 [doi:10.1016/0550-3213(85)90132-4]

• Klaus Dietz, Olaf Lechtenfeld, Ghost-free quantisation of non-abelian gauge theories via the Nicolai transformation of their supersymmetric extensions, Nuclear Physics B 259 2–3 (1985) 397-411 [doi:10.1016/0550-3213(85)90642-X]

• Olaf Lechtenfeld, Stochastic variables in ten dimensions?, Nuclear Physics B 274 3–4 (1986) 633-652 [doi:10.1016/0550-3213(86)90531-6]

• Rainald Flume, Olaf Lechtenfeld, On the stochastic structure of globally supersymmetric field theories, Physics Letters B 135 1–3 (1984) 91-95 [doi:10.1016/0370-2693(84)90459-3]

• Olaf Lechtenfeld, Maximilian Rupprecht, Universal form of the Nicolai map, Phys. Rev. D 104 021701 (2021) [arXiv:2104.00012, doi:10.1103/PhysRevD.104.L021701]

• Olaf Lechtenfeld, Maximilian Rupprecht, Is the Nicolai map unique?, J. High Energ. Phys. 2022 139 (2022) [arXiv:2207.09471, doi:10.1007/JHEP09(2022)139]

• Olaf Lechtenfeld, Supersymmetric large-order perturbation with the Nicolai map, Physics Letters B

  835 (2022) 137507 [arXiv:2208.06420, doi:10.1016/j.physletb.2022.137507]

• Olaf Lechtenfeld, The Nicolai-map approach to supersymmetry [arXiv:2309.00481]

• Olaf Lechtenfeld, Nicolai maps for super Yang-Mills on the light cone [arXiv:2406.04406]

• Olaf Lechtenfeld: Nicolai maps for supersymmetric sigma models [arXiv:2409.18855]

On Sasakian manifolds and quiver gauge theory:

• Olaf Lechtenfeld, Alexander Popov, Richard Szabo, Sasakian quiver gauge theories and instantons on Calabi-Yau cones (arXiv:1412.4409)

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 a perturbation series for the M2-brane Green-Schwarz sigma-model quantized to the BFSS matrix model:

• Olaf Lechtenfeld, Hermann Nicolai, A perturbative expansion scheme for supermembrane and matrix theory (arXiv:2109.00346)

On the Nicolai map for the $\mathbb{C}P^n$ sigma-model:

• Lorenzo Casarin, Olaf Lechtenfeld, Maximilian Rupprecht, Nicolai maps with four-fermion interactions [arXiv:2310.19946]

category: people