The quantum mechanics of an N = 1 supersymmetric dynamical system constrained to a hypersurface embedded in the higher dimensional Euclidean space is investigated by using the projection-operator method (POM) of constrained systems. It is shown that the resulting Hamiltonian obtained by the successive operations of projection operators contains the ¯ h 2-contributing additional terms, which are...

A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential φ(x) is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the low energy behaviour is presented. Analytical and numerical results are presented in the case wh...

We study string theory in the background of a two-dimensional black hole which is described by an SL(2, R)/U(1) coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an explicit form of the vertex operators in terms of the Jacobi functions. We also discuss the applicability of SUSY quantum mechanics techniques to n...

We define a manifestly supersymmetric version of the $T \overline{T}$ deformation appropriate for class $(0+1)$-dimensional theories with $\mathcal{N} = 1$ or 2$ supersymmetry, including one presentation super-Schwarzian theory which is dual to JT supergravity. These deformations are written in terms Noether currents associated translations superspace, so we refer them collectively as $f(\mathc...

A thorough analysis of the general features of (p = 2) parasupersymmetric quantum mechanics is presented. It is shown that for both Rubakov–Spiridonov and Beckers–Debergh formulations of (p = 2)parasupersymmetric quantum mechanics, the degeneracy structure of the energy spectrum can be derived using the defining parasuperalgebras. Thus the results of the present article is independent of the de...

The multidimensional N = 4 supersymmetric quantum mechanics (SUSY QM) is constructed using the superfield approach. As a result the component form of the classical and quantum Lagrangian and Hamiltonian is obtained. In the considered SUSY QM both classical and quantum N = 4 algebras include central charges and it opens various possibilities for the partial supersymmetry breaking. It is shown, t...