论文标题
$(2N)/u(n)$和$ sp(n)/u(n)$ ii的质量成型非线性Sigma模型的连接
Junctions of mass-deformed nonlinear sigma models on $SO(2N)/U(N)$ and $Sp(N)/U(N)$ II
论文作者
论文摘要
我们研究了$(2n)/u(n)$和$ sp(n)/u(n)/u(n)$的真空吸尘器,墙壁和三管齐下的非线性sigma型号。我们审查并讨论$ {\ Mathcal {n}} = 2 $ nonelear Sigma模型的壳体组件拉格朗日人在Grassmann歧管上的模型,这些模型是在$ {\ Mathcal {n}} = 1 $ superspace形式主义和谐波Superspace Superspace Superspace Superspace Superspace形式主义中获得的。我们还表明,$ {\ Mathcal {n}} = 2 $在复杂的投影空间上的非线性sigma模型的kähler潜力,该模型是在投影性超空间形式上获得的,与$ {\ nathcal {n}} = 2 $ nonlinear sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigma sigmma sigmma sigma sigmma sigmma sig sigma sigma sigmma sig sigma sigmma caramial相当$ c^a =(0,0,c = 1)$在复杂的投影空间上,该$是在$ {\ Mathcal {n}} = 1 $ superspace形式主义中获得的。
We study vacua, walls and three-pronged junctions of mass-deformed nonlinear sigma models on $SO(2N)/U(N)$ and $Sp(N)/U(N)$ for generic $N$. We review and discuss the on-shell component Lagrangians of the ${\mathcal{N}}=2$ nonlinear sigma model on the Grassmann manifold, which are obtained in the ${\mathcal{N}}=1$ superspace formalism and in the harmonic superspace formalism. We also show that the Kähler potential of the ${\mathcal{N}}=2$ nonlinear sigma model on the complex projective space, which is obtained in the projective superspace formalism, is equivalent to the Kähler potential of the ${\mathcal{N}}=2$ nonlinear sigma model with the Fayet-Iliopoulos parameters $c^a=(0,0,c=1)$ on the complex projective space, which is obtained in the ${\mathcal{N}}=1$ superspace formalism.