COMMENTS ABOUT THE GEOMETRY OF NONLINEAR SIGMA MODELS
نویسندگان
چکیده
منابع مشابه
The Geometry of Supersymmetric D = 2 Nonlinear Sigma Models
This paper will consider supersymmetric nonlinear sigma models in two space-time dimensions. First, the rich variety of possible supersymmetries in two dimensions will be discussed. Next, a slight detour into some complex geometry will be taken to gather some useful definitions and results. Finally, it will be shown that requiring the sigma model to have extended supersymmetry imposes various g...
متن کاملComments on Noncommutative Sigma Models
We review the derivation of a noncommutative version of the nonlinear sigma model on CP and it’s soliton solutions for finite θ emphasizing the similarities it bears to the GMS scalar field theory. It is also shown that unlike the scalar theory, some care needs to be taken in defining the topological charge of BPS solitons of the theory due to nonvanishing surface terms in the energy functional...
متن کاملNonlinear Sigma Models and Symplectic Geometry on Loop Spaces of (Pseudo)Riemannian Manifolds
In this paper we consider symplectic and Hamiltonian structures of systems generated by actions of sigma-model type and show that these systems are naturally connected with specific symplectic geometry on loop spaces of Riemannian and pseudoRiemannian manifolds. † On leave of absence from VNIIFTRI, Mendeleevo, Moscow Region 141570, Russia 1
متن کاملThe Geometry of Sigma-Models with Twisted Supersymmetry
We investigate the relation between supersymmetry and geometry for two dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional (p, q) supersymmetry algebra. Superspace formulations of the (p, q) heterotic sigma-models with twisted or untwisted supersymmetry are given. For the tw...
متن کاملSymplectic Geometry of Supersymmetry and Nonlinear Sigma Model
Recently it has been argued, that Poincaré supersymmetric field theories admit an underlying loop space hamiltonian (symplectic) structure. Here shall establish this at the level of a general N = 1 supermultiplet. In particular, we advocate the use of a superloop space introduced in [2], and the necessity of using nonconventional auxiliary fields. As an example we consider the nonlinear σ-model...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1987
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x87000910