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A New supersymmetric index
Abstract We show that Tr(−1) F F e βH is an index for N = 2 supersymmetric theories in two dimensions, in the sense that it is independent of almost all deformations of the theory. This index is
Parafermionic edge zero modes inZn-invariant spin chains
A sign of topological order in a gapped one-dimensional quantum chain is the existence of edge zero modes. These occur in the Z2-invariant Ising/Majorana chain, where they can be understood using
Topological Order and Conformal Quantum Critical Points
Abstract We discuss a certain class of two-dimensional quantum systems which exhibit conventional order and topological order, as well as quantum critical points separating these phases. All of the
Scattering and thermodynamics of fractionally-charged supersymmetric solitons
Abstract We show that there are solitons with fractional fermion number in integrable N = 2 supersymmetric models. We obtain the soliton S -matrix for the minimal, N = 2 supersymmetric theory
Lattice fermion models with supersymmetry
We investigate a family of lattice models with manifest supersymmetry. The models describe fermions on a 1D lattice, subject to the constraint that no more than k consecutive lattice sites may be
Exact solution of a massless scalar field with a relevant boundary interaction
We solve exactly the “boundary sine-Gordon” system of a massless scalar field ∅ with a cos(12β∅) potential at a boundary. This model has appeared in several contexts, including tunneling between
Solving 1D plasmas and 2D boundary problems using Jack polynomials and functional relations
The general one-dimensional “log-sine” gas is defined by restricting the positive and negative charges of a two-dimensional Coulomb gas to live on a circle. Depending on charge constrannts, this
Airy Functions in the Thermodynamic Bethe Ansatz
Thermodynamic Bethe ansatz equations are coupled nonlinear integral equations which appear frequently when solving integrable models. Those associated with models with N=2 supersymmetry can be
Lattice models with N=2 supersymmetry.
TLDR
This work introduces lattice models with explicit N=2 supersymmetry, and analyzes these models using conformal field theory, the Bethe ansatz, and cohomology.
Topological Defects on the Lattice I: The Ising model
In this paper and its sequel, we construct topologically invariant defects in two-dimensional classical lattice models and quantum spin chains. We show how defect lines commute with the transfer
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