Kähler geometry and SUSY mechanics

@article{Bellucci2001KhlerGA,
  title={K{\"a}hler geometry and SUSY mechanics},
  author={Stefano Bellucci and Armen Nersessian},
  journal={arXiv: High Energy Physics - Theory},
  year={2001},
  volume={102},
  pages={227-232}
}
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21 Citations
Background Citations
6
Methods Citations
1

21 Citations

Symmetries of N = 4 supersymmetric CPn?> mechanics

We explicitly constructed the generators of the SU(n + 1) group that commute with the supercharges of N = 4 supersymmetric CPn?> mechanics in the background U(n) gauge fields. The corresponding…

Hyper-Kähler geometry and dualization

We demonstrate that in N=8 supersymmetric mechanics with linear and nonlinear chiral supermultiplets one may dualize two auxiliary fields into physical ones in such a way that the bosonic manifold…

N = 4 supersymmetric Eguchi-Hanson sigma model in d = 1

We show that it is possible to construct a supersymmetric mechanics with four supercharges possessing not conformally flat target space. A general idea of constructing such models is presented. A…

N=8 supersymmetric mechanics on special Kähler manifolds

BiHermitian supersymmetric quantum mechanics

BiHermitian geometry, discovered long ago by Gates, Hull and Roček, is the most general sigma model target space geometry allowing for (2, 2) world sheet supersymmetry. In this paper, we work out…

Euler Top and Freedom in Supersymmetrization of One-Dimensional Mechanics

Kähler geometry for su(1,N|M) superconformal mechanics

We suggest the su (1 , N | M )-superconformal mechanics formulated in terms of phase superspace given by the non-compact analogue of complex projective superspace.We parameterized this phase space by…

CP n supersymmetric mechanics in U(n) background gauge fields

We construct a new N=4 supersymmetric mechanics describing the motion of a particle over a $CP^n$ manifold in U(n) background gauge fields.

Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

We apply the technique of Hamiltonian reduction for the construction of three-dimensional N=4 supersymmetric mechanics specified by the presence of a Dirac monopole. For this purpose we take the…

BRST detour quantization: Generating gauge theories from constraints

We present the Becchi–Rouet–Stora–Tyutin (BRST) cohomologies of a class of constraint (super) Lie algebras as detour complexes. By interpreting the components of detour complexes as gauge…

References

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Supersymmetric gauge quantum mechanics: superfield description

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Potentials for the supersymmetric nonlinear σ-model

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The Geometry of Supersymmetric Quantum Mechanics

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Covariant quantization of gauge theories in the framework of extended BRST symmetry

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