Kähler geometry and SUSY mechanics

  title={K{\"a}hler geometry and SUSY mechanics},
  author={Stefano Bellucci and Armen Nersessian},
  journal={arXiv: High Energy Physics - Theory},

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

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



A Kähler structure of the triplectic geometry

We study the geometry of the triplectic quantization of gauge theories. We show that the triplectic geometry is determined by the geometry of a Kähler manifoldN endowed with a pair of transversal

Three-dimensional N=4 extended supersymmetric quantum mechanics

A description of three-dimensional N=4 extended supersymmetric quantum mechanics is proposed, based on the superfield construction of the action. The main feature of the approach is the unification

On the structure of the n = 4 supersymmetric quantum mechanics in D = 2 and D = 3

The superfield formulation of two-dimensional N = 4 extended supersymmetric quantum mechanics (SQM) is described. It is shown that the corresponding classical Lagrangian describes the motion in the

Potentials for the supersymmetric nonlinear σ-model

The most general structure for potential terms compatible withN=1,N=2, andN=4 supersymmetry in the nonlinear σ-model in two space-time dimensions is determined. The differential geometry of the

On the geometry of supermanifolds with even and odd Kählerian structures

Even and odd Kählerian structures are constructed on supermanifolds associated with the tangent bundles of Kählerian manifolds. Mechanics that are bi-Hamiltonian with respect to the corresponding

The Geometry of Supersymmetric Quantum Mechanics

One-dimensional sigma-models with N supersymmetries are considered. For conventional supersymmetries there must be N-1 complex structures satisfying a Clifford algebra and the constraints on the

Even and odd symplectic and Kählerian structures on projective superspaces

Supergeneralization of CP(N) provided with even and odd Kahlerian structures from Hamiltonian reduction are constructed. Operator Δ, which is used in Batalin–Vilkovisky quantization formalism and

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

The quantization rules for gauge theories in the Lagrangian formalism are formulated on the basis of the requirement of an extended BRST symmetry. The independence of the S matrix to the choice of a