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A New supersymmetric index

- S. Cecotti, P. Fendley, K. Intriligator, C. Vafa
- Physics
- 30 April 1992

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… Expand

Parafermionic edge zero modes inZn-invariant spin chains

- P. Fendley
- Physics
- 3 September 2012

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… Expand

Topological Order and Conformal Quantum Critical Points

- E. Ardonne, P. Fendley, E. Fradkin
- Physics
- 20 November 2003

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… Expand

Scattering and thermodynamics of fractionally-charged supersymmetric solitons

- P. Fendley, K. Intriligator
- Physics
- 7 November 1991

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… Expand

Lattice fermion models with supersymmetry

- P. Fendley, B. Nienhuis, K. Schoutens
- Physics
- 14 July 2003

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… Expand

Exact solution of a massless scalar field with a relevant boundary interaction

- P. Fendley, H. Saleur, N. Warner
- Physics
- 18 June 1994

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… Expand

Solving 1D plasmas and 2D boundary problems using Jack polynomials and functional relations

- P. Fendley, F. Lesage, H. Saleur
- Mathematics, Physics
- 28 September 1994

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… Expand

Airy Functions in the Thermodynamic Bethe Ansatz

- P. Fendley
- Physics, Mathematics
- 15 June 1999

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… Expand

Lattice models with N=2 supersymmetry.

- P. Fendley, K. Schoutens, J. de Boer
- Physics, MedicinePhysical review letters
- 17 October 2002

TLDR

Topological Defects on the Lattice I: The Ising model

- D. Aasen, R. Mong, P. Fendley
- Mathematics, Physics
- 26 January 2016

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… Expand

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