We construct all vacuum states of N=2 supersymmetric Yang-Mills quantum mechanics [for SU(N) group] and discuss their origin from the SU(N) real cohomology.

E.
Witten
,
J. Diff. Geom.
17
,
661
(
1982
);
L.
Alvarez-Gaumé
,
Commun. Math. Phys.
90
,
161
(
1983
);
L.
Alvarez-Gaumé
,
J. Phys. A
16
,
4177
(
1983
);
D.
Friedman
and
P.
Windey
,
Nucl. Phys. B
235
,
395
(
1984
);
F.
Cooper
 et al.,
Supersymmetry in Quantum Mechanics
(
World Scientific
,
Singapore
,
2001
).
2.
M.
Claudson
and
M. B.
Halpern
,
Nucl. Phys.
250
,
689
(
1985
).
3.
M.
Trzetrzelewski
,
J. Math. Phys.
48
,
012302
(
2007
).
4.
5.
J. A.
de Azcarraga
and
J. M.
Izquierdo
,
Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
(
Cambridge University Press
,
Cambridge
,
1995
).
6.
J. A.
de Azcarraga
,
A. J.
Macfarlane
,
A. J.
Mountain
, and
J. C.
Perez Bueno
,
Nucl. Phys. B
510
,
657
(
1998
).
7.
J. M.
Drouffe
and
C.
Itzykson
,
Phys. Rep.
38,
133
(
1978
).
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