Supersymmetric Boundary Conditions for the N = 2 Sigma Model
نویسنده
چکیده
We clarify the discussion of N = 2 supersymmetric boundary conditions for the classical d = 2, N = (2, 2) Non-Linear Sigma Model on an infinite strip. Our conclusions about the supersymmetric cycles match the results found in the literature. However, we find a constraint on the boundary action that is not satisfied by many boundary actions used in the literature.
منابع مشابه
Finite sigma models and exact string solutions with Minkowski signature metric.
We consider 2d sigma models with a D = 2 + N dimensional Minkowski signature target space metric having a covariantly constant null Killing vector. These models are UV finite. The 2 +N -dimensional target space metric can be explicitly determined for a class of supersymmetric sigma models with N -dimensional ‘transverse’ part of the target space being homogeneous Kähler. The corresponding ‘tran...
متن کاملN = 2 supersymmetric field theories on 3-manifolds with A-type boundaries
General half-BPS A-type boundary conditions are formulated for N = 2 supersymmetric field theories on compact 3-manifolds with boundary. We observe that under suitable conditions manifolds of the real A-type admitting two complex supersymmetries (related by charge conjugation) possess, besides a contact structure, a natural integrable toric foliation. A boundary, or a general co-dimension-1 def...
متن کاملBoundary S matrices with N = 2 supersymmetry
We propose the exact boundary S matrix for breathers of theN = 2 supersymmetric sine-Gordon model. We argue that this S matrix has three independent parameters, in agreement with a recently-proposed action. We also show, contrary to a previous claim, that the “universal” supersymmetric boundary S matrix commutes with two supersymmetry charges. General N = 2 supersymmetric boundary integrable mo...
متن کاملClassically integrable boundary conditions for symmetric-space sigma models
We investigate boundary conditions for the nonlinear sigma model on the compact symmetric space G/H. The Poisson brackets and the classical local conserved charges necessary for integrability are preserved by boundary conditions which correspond to involutions which commute with the involution definingH. Applied to SO(3)/SO(2), the nonlinear sigma model on S2, these yield the great circles as b...
متن کاملSupersymmetric CP Sigma Model on Noncommutative Superspace
We construct a closed form of the action of the supersymmetric CP sigma model on noncommutative superspace in four dimensions. We show that this model has N = 1 2 supersymmetry and that the transformation law is not modified. The supersymmetric CP sigma model on noncommutative superspace in two dimensions is obtained by dimensional reducing the model in four dimensions. ∗E-mail: [email protected]...
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 2003