1.

Skyrme and Faddeev models in the lowenergy limit of 4d Yang–Mills–Higgs theories
/ Lechtenfeld, Olaf ; Popov, Alexander D.
Firstly, we consider U( Nc ) Yang–Mills gauge theory on R3,1 with Nf>Nc flavours of scalar fields in the fundamental representation of U( Nc ). [...]
Published in Nuclear Physics B 945 (2019)
10.1016/j.nuclphysb.2019.114675
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2.

P T $$ \mathcal{P}\mathcal{T} $$ deformation of CalogeroSutherland models
/ Correa, Francisco ; Lechtenfeld, Olaf
CalogeroSutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a P T $$ \mathcal{P}\mathcal{T} $$ symmetry. [...]
Published in JHEP 1905 (2019) 166
10.1007/JHEP05(2019)166
arXiv:1903.06481
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3.

Sasakian quiver gauge theories and instantons on cones over round and squashed sevenspheres
/ Geipel, Jakob C. ; Lechtenfeld, Olaf ; Popov, Alexander D. ; Szabo, Richard J.
We study quiver gauge theories on the round and squashed sevenspheres, and orbifolds thereof. [...]
Published in Nuclear Physics B 942 (2019) 103148
10.1016/j.nuclphysb.2019.03.010
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4.

Spinning extensions of D (2, 1; α ) superconformal mechanics
/ Galajinsky, Anton ; Lechtenfeld, Olaf
As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup D (2, 1; α ), which is the most general N $$ \mathcal{N} $$ = 4 supersymmetric extension of the conformal group in one spatial dimension. [...]
Published in JHEP 1903 (2019) 069
10.1007/JHEP03(2019)069
arXiv:1902.06851
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5.

Extended supersymmetric Calogero model
/ Krivonos, Sergey ; Lechtenfeld, Olaf ; Provorov, Alexander ; Sutulin, Anton
We present a surprising redefinition of matrix fermions which brings the supercharges of the N extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. [...]
Published in Physics letters B 791 (2019) 385389
10.1016/j.physletb.2019.03.004
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6.

Supersymmetric manybody Euler–Calogero–Moser model
/ Krivonos, Sergey ; Lechtenfeld, Olaf ; Sutulin, Anton
We explicitly construct a supersymmetric so(n) spinCalogero model with an arbitrary even number N of supersymmetries. [...]
Published in Physics letters B 790 (2019) 191196
10.1016/j.physletb.2019.01.018
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7.

YangMills solutions on de Sitter space of any dimension
/ Lechtenfeld, Olaf ; Ünal, Gönül
For gauge groups $\mathrm{SO}\left(n+1\right)$, $\mathrm{SU}\left(m+1\right)$, and $\mathrm{Sp}(\ell +1)$, we construct equivariant YangMills solutions on de Sitter space in $n+1$, $2(m+1)$, and $4(\ell +1)$ spacetime dimensions. [...]
Published in Physical Review D 98 (2018)
10.1103/PhysRevD.98.085008
arXiv:1807.03914
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8.

Skyrme–Faddeev model from 5d superYang–Mills
/ Lechtenfeld, Olaf ; Popov, Alexander D.
We consider 5d Yang–Mills–Higgs theory with a compact ADEtype gauge group G and one adjoint scalar field on R3,1×R+ , where R+=[0,∞) is the halfline. [...]
Published in Physics letters B 786 (2018) 3944
10.1016/j.physletb.2018.09.028
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9.

Deformed N = 8 $$ \mathcal{N}=8 $$ mechanics of (8, 8, 0) multiplets
/ Ivanov, Evgeny ; Lechtenfeld, Olaf ; Sidorov, Stepan
We construct new models of “curved” SU(41) supersymmetric mechanics based on two versions of the offshell multiplet ( 8 , 8 , 0 ) which are “mirror” to each other. [...]
Published in JHEP 1808 (2018) 193
10.1007/JHEP08(2018)193
arXiv:1807.11804
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10.

N extended supersymmetric Calogero models
/ Krivonos, Sergey ; Lechtenfeld, Olaf ; Sutulin, Anton
We propose a new N extended supersymmetric su(n) spinCalogero model. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.07.036
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