Supersymmetric, Integrable Boundary Field Theories
نویسنده
چکیده
Quantum integrable models that possess N = 2 supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some N = 2 supersymmetric boundary integrable models, and the effective boundary Landau-Ginzburg actions are constructed. It is found that N = 2 supersymmetry largely determines the boundary action in terms of the bulk, and in particular, the boundary bosonic potential is |W |, where W is the bulk superpotential. Supersymmetry is also discussed from the perspective of the affine quantum group symmetry of exact scattering matrices, and exact N = 2 supersymmetry preserving boundary reflection matrices are described.
منابع مشابه
Supersymmetry in the boundary tricritical Ising field theory
We argue that it is possible to maintain both supersymmetry and integrability in the boundary tricritical Ising field theory. Indeed, we find two sets of boundary conditions and corresponding boundary perturbations which are both supersymmetric and integrable. The first set corresponds to a “direct sum” of two non-supersymmetric theories studied earlier by Chim. The second set corresponds to a ...
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 کاملSupersymmetric integrable scattering theories with unstable particles
We propose scattering matrices for N=1 supersymmetric integrable quantum field theories in 1+1 dimensions which involve unstable particles in their spectra. By means of the thermodynamic Bethe ansatz we analyze the ultraviolet behaviour of some of these theories and identify the effective Virasoro central charge of the underlying conformal field theories.
متن کاملar X iv : h ep - t h / 96 05 21 9 v 1 3 0 M ay 1 99 6 Reflection Matrices for Integrable N = 1 Supersymmetric Theories
We study two-dimensional integrable N = 1 supersymmetric theories (without topological charges) in the presence of a boundary. We find a universal ratio between the reflection amplitudes for particles that are related by super-symmetry and we propose exact reflection matrices for the supersymmetric extensions of the multi-component Yang-Lee models and for the breather multiplets of the supersym...
متن کاملIntegrable Four-Fermi Models with a Boundary and Boson-Fermion Duality
Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality equivalence of the MT model and the sine-Gordon model with boundary terms. We find a variety of integrable boundary interactions in the O(3) Gross-Neveu model from th...
متن کامل