The Geometry of two dimensional Supersymmetric Nonlinear σ Model
نویسنده
چکیده
In this report, we investigate the relation between supersymmetry (twisted and untwisted) and geometry for two dimensional σ model with target spaces of arbitrary signature, and Lorentzian or Euclidean world sheets. It can be shown that the number of allowed supersymmetry is constrained purely by the geometric considerations. The possible geometries are classified according to properties of the target space.
منابع مشابه
On the Characterization of Classical Dynamical Systems Using Supersymmetric Nonlinear Σ-models
We construct a two dimensional nonlinear σ-model that describes the Hamiltonian flow in the loop space of a classical dynamical system. This model is obtained by equivariantizing the standard N=1 supersymmetric nonlinear σ-model by the Hamiltonian flow. We use localization methods to evaluate the corresponding partition function for a general class of integrable systems, and find relations that...
متن کاملGeometry and Duality in Supersymmetric Σ - Models
The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear σ-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis...
متن کاملOne-loop divergences in the two-dimensional non-anticommutative supersymmetric σ-model
We discuss the structure of the non-anticommutative N = 2 non-linear σmodel in two dimensions, constructing differential operators which implement the deformed supersymmetry generators and using them to reproduce the classical action. We then compute the one-loop quantum corrections and express them in a more compact form using the differential operators.
متن کاملKähler Potentials on Toric Varieties
One has believed that low energy effective theories of the Higgs branch of gauged linear sigma models correspond to supersymmetric nonlinear sigma models, which have been already investigated by many works. In this paper we discuss a explicit derivation of supersymmetric nonlinear sigma models from gauged linear sigma models. In this process we construct Kähler potentials of some two-dimensiona...
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
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005