2020/02/05 by Tae-Gyu Kim, Kim, Taegyu, Sunyoung Shin +1
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2002.01923
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 N=2 nonlinear sigma model on the Grassmann manifold, which are obtained in the N=1 superspace formalism and in the harmonic superspace formalism. We also show that the Kähler potential of the 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 N=2 nonlinear sigma model with the Fayet-Iliopoulos parameters ca=(0,0,c=1) on the complex projective space, which is obtained in the N=1 superspace formalism.