Superpotential

About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.

Relating double field theory to the scalar potential of N = 2 gauged supergravity

Abstract: The double field theory action in the flux formulation is dimensionally reduced on a Calabi-Yau three-fold equipped with non-vanishing type IIB geometric and non-geometric fluxes. First, we rewrite the metric-dependent reduced DFT action in terms of quantities that can be evaluated without explicitly knowing the metric on the Calabi-Yau manifold. Second, using properties of special geometry we obtain the scalar potential of N = 2 gauged supergravity. After an orientifold projection, this potential is consistent with the scalar potential arising from the flux-induced superpotential, plus an additional D-term contribution.

On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential

Abstract: In this paper, we propose an algorithm to construct coherent states for an exactly solvable position dependent mass Schrodinger equation. We use point canonical transformation method and obtain ground state eigenfunction of the position dependent mass Schrodinger equation. We fix the ladder operators in the deformed form and obtain explicit expression of the deformed superpotential in terms of mass distribution and its derivative. We also prove that these deformed operators lead to minimum uncertainty relations. Further, we illustrate our algorithm with two examples, in which the coherent states given for the second example are new.

Theoretical framework for R-parity violation

Abstract: We propose a theoretical framework for $R$-parity violation. It is realized by a class of Calabi-Yau compactification of heterotic string theory. Trilinear $R$-parity violation in superpotential is either absent or negligibly small without an unbroken symmetry, due to a selection rule based on charge counting of a spontaneously broken U(1) symmetry. Although such a selection rule cannot be applied in general to nonrenormalizable operators in the low-energy effective superpotential, it is valid for terms trilinear in low-energy degrees of freedom, and hence can be used as a solution to the dimension-4 proton decay problem in the minimal supersymmetric standard model. Bilinear $R$-parity violation is generated, but there are good reasons why it is small enough to satisfy its upper bounds from neutrino mass and washout of baryon/lepton asymmetry. All $R$-parity violating dimension-5 operators can be generated. In this theoretical framework, nucleons can decay through squark-exchange diagrams combining dimension-5 and bilinear $R$-parity violating operators. $B\ensuremath{-}L$ breaking neutron decay is predicted.

Dilaton domain walls and dynamical systems

Abstract: Domain wall solutions of d-dimensional gravity coupled to a dilaton field σ with an exponential potential Λ e−λσ are shown to be governed by an autonomous dynamical system, with a transcritical bifurcation as a function of the parameter λ when Λ < 0. All phase-plane trajectories are found exactly for λ = 0, including separatrices corresponding to walls that interpolate between AdSd and , and the exact solution is found for d = 3. Janus-type solutions are interpreted as marginal bound states of these 'separatrix walls'. All flat domain wall solutions, which are given exactly for any λ, are shown to be supersymmetric for some superpotential W, determined by the solution.