1.

The fuzzy 4hyperboloid Hn4 and higherspin in Yang–Mills matrix models
/ Sperling, Marcus ; Steinacker, Harold C.
We consider the SO(4,1) covariant fuzzy hyperboloid Hn4 as a solution of Yang–Mills matrix models, and study the resulting higherspin gauge theory. [...]
Published in Nuclear Physics B 941 (2019) 680743
10.1016/j.nuclphysb.2019.02.027
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2.

Resolutions of nilpotent orbit closures via Coulomb branches of 3dimensional N = 4 $$ \mathcal{N}=4 $$ theories
/ Hanany, Amihay ; Sperling, Marcus
The Coulomb branches of certain 3dimensional N = 4 $$ \mathcal{N}=4 $$ quiver gauge theories are closures of nilpotent orbits of classical or exceptional Lie algebras. [...]
Published in JHEP 1808 (2018) 189
10.1007/JHEP08(2018)189
arXiv:1806.01890
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3.

Discrete quotients of 3dimensional N = 4 $$ \mathcal{N}=4 $$ Coulomb branches via the cycle index
/ Hanany, Amihay ; Sperling, Marcus
The study of Coulomb branches of 3dimensional N = 4 $$ \mathcal{N}=4 $$ gauge theories via the associated Hilbert series, the socalled monopole formula, has been proven useful not only for 3dimensional theories, but also for Higgs branches of 5 and 6dimensional gauge theories with 8 supercharges. [...]
Published in JHEP 1808 (2018) 157
10.1007/JHEP08(2018)157
arXiv:1807.02784
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4.

Intersecting branes, Higgs sector, and chirality from N $$ \mathcal{N} $$ = 4 SYM with soft SUSY breaking
/ Sperling, Marcus ; Steinacker, Harold
We consider SU( N ) N $$ \mathcal{N} $$ = 4 super YangMills with cubic and quadratic soft SUSY breaking potential, such that the global SU(4) R is broken to SU(3) or further. [...]
Published in JHEP 1804 (2018) 116
10.1007/JHEP04(2018)116
arXiv:1803.07323
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5.

Instantons on CalabiYau and hyperKähler cones
/ Geipel, Jakob ; Sperling, Marcus
The instanton equations on vector bundles over CalabiYau and hyperKähler cones can be reduced to matrix equations resembling Nahm’s equations. [...]
Published in JHEP 1710 (2017) 103
10.1007/JHEP10(2017)103
arXiv:1709.01944
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6.

Algebraic properties of the monopole formula
/ Hanany, Amihay ; Sperling, Marcus
The monopole formula provides the Hilbert series of the Coulomb branch for a 3dimensional N = 4 $$ \mathcal{N}=4 $$ gauge theory. [...]
Published in JHEP 1702 (2017) 023
10.1007/JHEP02(2017)023
arXiv:1611.07030
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7.

Coulomb branches for rank 2 gauge groups in 3 d N = 4 $$ \mathcal{N}=4 $$ gauge theories
/ Hanany, Amihay ; Sperling, Marcus
The Coulomb branch of 3dimensional N = 4 $$ \mathcal{N}=4 $$ gauge theories is the space of bare and dressed BPS monopole operators. [...]
Published in JHEP 1608 (2016) 016
10.1007/JHEP08(2016)016
arXiv:1605.00010
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8.

Instantons on Calabi–Yau cones
/ Sperling, Marcus
The Hermitian Yang–Mills equations on certain vector bundles over Calabi–Yau cones can be reduced to a set of matrix equations; in fact, these are Nahmtype equations. [...]
Published in Nuclear Physics B (2015)
10.1016/j.nuclphysb.2015.10.014
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9.

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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10.

Instantons on conical halfflat 6manifolds
/ Bunk, Severin ; Lechtenfeld, Olaf ; Popov, Alexander ; Sperling, Marcus
We present a general procedure to construct 6dimensional manifolds with SU(3)structure from SU(2)structure 5manifolds. [...]
Published in JHEP 1501 (2015) 030
10.1007/JHEP01(2015)030
arXiv:1409.0030
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