Global Symmetries of Quaternion-K$\bf \ddot{a}$hler ${\cal N}=4$ Supersymmetric Mechanics

Generalized K$\ddot{a}$hler Geometry and current algebras in classical N=2 superconformal WZW model

I examine the Generalized K$\ddot{a}$hler geometry of classical $N=(2,2)$ superconformal WZW model on a compact group and relate the right-moving and left-moving Kac-Moody superalgebra currents to the Generalized K$\ddot{a}$hler geometry data using Hamiltonian formalism. It is shown that canonical Poisson homogeneous space structure induced by the Generalized K$\ddot{a}$hler geometry of the group manifold is crucial to provide $N=(2,2)$ superconformal sigma-model with the Kac-Moody superalgebra symmetries. Biholomorphic gerbe geometry is used to prove that Kac-Moody superalgebra currents are g…

广义Kähler几何在Kazama-Suzuki余弦模型中的应用

Generalized K$\ddot{a}$hler Geometry in Kazama-Suzuki coset models

研究Kazama-Suzuki条件如何确定N=2超对称σ模型目标空间上的广义Kähler几何结构。

Generalized Kähler Geometry and current algebras in $SU(2)\times U(1)$ N=2 superconformal WZW model

We examine the Generalized K$\ddot{a}$hler Geometry of quantum N=2 superconformal WZW model on $SU(2)\times U(1)$ and relate the right-moving and left-moving Kac-Moody superalgebra currents to the Generalized K$\ddot{a}$hler Geometry data of the group manifold using Hamiltonian formalism.

Higgs inflation from new Kähler potential

We introduce a new class of models of Higgs inflation using the superconformal approach to supergravity by modifying the K$\ddot{a}$hler geometry. Using such a mechanism, we construct a phenomenological functional form of a new K$\ddot{a}$hler potential. From this we construct various types of models which are characterized by a superconformal symmetry breaking parameter $χ$, and depending on the numerical values of $χ$ we classify all of the proposed models into three categories. Models with minimal coupling are identified by $χ=\pm\frac{2}{3}$ branch which are made up of shift symmetry prese…