1.

Higgs and Coulomb branch descriptions of the volume of the vortex moduli space
/ Ohta, Kazutoshi ; Sakai, Norisuke
BPS vortex systems on closed Riemann surfaces with arbitrary genus are embedded into 2D supersymmetric Yang–Mills theory with matters. [...]
Published in PTEP 2019 (2019) 043B01
10.1093/ptep/ptz016
arXiv:1811.03824
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2.

Anomaly and sign problem in N(2,2) SYM on polyhedra: Numerical analysis
/ Kamata, Syo ; Matsuura, So ; Misumi, Tatsuhiro ; Ohta, Kazutoshi
We investigate twodimensional N(2,2) supersymmetric YangMills (SYM) theory on discretized curved space (polyhedra). [...]
Published in PTEP 2016 (2016) 123B01
10.1093/ptep/ptw153
arXiv:1607.01260
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3.

Coulomb branch localization in quiver quantum mechanics
/ Ohta, Kazutoshi ; Sasai, Yuya
We show how to exactly calculate the refined indices of N = 4 U 1 × U N $$ \mathcal{N}=4\;\mathrm{U}(1)\times \mathrm{U}(N) $$ supersymmetric quiver quantum mechanics in the Coulomb branch by using the localization technique. [...]
Published in JHEP 1602 (2016) 106
10.1007/JHEP02(2016)106
arXiv:1512.00594
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4.

Exact results in discretized gauge theories
/ Matsuura, So ; Misumi, Tatsuhiro ; Ohta, Kazutoshi
We apply the localization technique to topologically twisted supersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). [...]
Published in PTEP 2015 (2015) 033B07
10.1093/ptep/ptv021
arXiv:1411.4466
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5.

Topologically twisted N (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface
/ Matsuura, So ; Misumi, Tatsuhiro ; Ohta, Kazutoshi
We define supersymmetric Yang–Mills theory on an arbitrary 2D lattice (polygon decomposition) while preserving one supercharge. [...]
Published in PTEP 2014 (2014) 123B01
10.1093/ptep/ptu153
arXiv:1408.6998
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6.

Exact results in quiver quantum mechanics and BPS bound state counting
/ Ohta, Kazutoshi ; Sasai, Yuya
We exactly evaluate the partition function (index) of N $$ \mathcal{N} $$ = 4 supersymmetric quiver quantum mechanics in the Higgs phase by using the localization techniques. [...]
Published in JHEP 1411 (2014) 123
10.1007/JHEP11(2014)123
arXiv:1408.0582
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