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.

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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3.

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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4.

Skyrme model from 6d N=(2,0) theory
/ Ivanova, Tatiana A. ; Lechtenfeld, Olaf ; Popov, Alexander D.
We consider 5d Yang–Mills theory with a compact ADEtype gauge group G on R3,1×I , where I is an interval. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.06.052
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5.

NonAbelian sigma models from Yang–Mills theory compactified on a circle
/ Ivanova, Tatiana A. ; Lechtenfeld, Olaf ; Popov, Alexander D.
We consider SU( N ) Yang–Mills theory on R2,1×S1 , where S1 is a spatial circle. [...]
Published in Physics letters B (2018)
10.1016/j.physletb.2018.04.013
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6.

Superstring limit of Yang–Mills theories
/ Lechtenfeld, Olaf ; Popov, Alexander D.
It was pointed out by Shifman and Yung that the critical superstring on X10=R4×Y6 , where Y6 is the resolved conifold, appears as an effective theory for a U(2) Yang–Mills–Higgs system with four fundamental Higgs scalars defined on Σ2×R2 , where Σ2 is a twodimensional Lorentzian manifold. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.09.032
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7.

Sasakian quiver gauge theories and instantons on the conifold
/ Geipel, Jakob C. ; Lechtenfeld, Olaf ; Popov, Alexander D. ; Szabo, Richard J.
We consider Spin(4) equivariant dimensional reduction of Yang–Mills theory on manifolds of the form Md×T1,1 , where Md is a smooth manifold and T1,1 is a fivedimensional Sasaki–Einstein manifold Spin(4)/U(1) . [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.04.016
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8.

Sasakian quiver gauge theories and instantons on cones over lens 5spaces
/ Lechtenfeld, Olaf ; Popov, Alexander D. ; Sperling, Marcus ; Szabo, Richard J.
We consider SU(3) equivariant dimensional reduction of Yang–Mills theory over certain cyclic orbifolds of the 5sphere which are Sasaki–Einstein manifolds. [...]
Published in Nuclear Physics B (2015)
10.1016/j.nuclphysb.2015.09.001
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9.

Loop groups in Yang–Mills theory
/ Popov, Alexander D.
We consider the Yang–Mills equations with a matrix gauge group G on the de Sitter dS 4 , antide Sitter AdS 4 and Minkowski R3,1 spaces. [...]
Published in Physics letters B (2015)
10.1016/j.physletb.2015.07.041
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10.

Sigmamodel limit of Yang–Mills instantons in higher dimensions
/ Deser, Andreas ; Lechtenfeld, Olaf ; Popov, Alexander D.
We consider the Hermitian Yang–Mills (instanton) equations for connections on vector bundles over a 2 n dimensional Kähler manifold X which is a product Y×Z of p  and q dimensional Riemannian manifold Y and Z with p+q=2n . [...]
Published in Nuclear Physics B 894 (2015) 361373
10.1016/j.nuclphysb.2015.03.009
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