Fetching the paper…

Reading the bibliography…

2017

A curious mapping between supersymmetric quantum chains

Feher, Gyorgy Z., Garbali, Alexandr, de Gier, Jan et al.

Original
PDF
Post on X

Understand

We present a unitary transformation relating two apparently different supersymmetric lattice models in one dimension.

The first \cite{FS07} describes semionic particles on a 1D ladder, with supersymmetry moving particles between the two legs.
The second \cite{GFNR15} is a fermionic model with particle-hole symmetry and with supersymmetry creating or annihilating pairs of domain walls.
The mapping we display features non-trivial phase factors that generalise the sign factors occurring in the Jordan-Wigner transformation.

A curious mapping between supersymmetric quantum chains · Around

Built on

E. Witten, Constraints on supersymmetry breaking
1982
Earlier work this paper cites.
P. Fendley, K. Schoutens and J. de Boer, Lattice models with 𝒩 = 2 \mathcal{N}=2 supersymmetry
2003
Earlier work this paper cites.
P. Fendley, B. Nienhuis and K. Schoutens, Lattice fermion models with supersymmetry
2003
Earlier work this paper cites.

Similar

P. Fendley and K. Schoutens, Exact results for strongly-correlated fermions in 2+1 dimensions
2005
Cited alongside, same era.
H. van Eerten, Extensive ground state entropy in supersymmetric lattice models
2005
Cited alongside, same era.
P. Fendley and K. Schoutens, Cooper pairs and exclusion statistics from coupled free-fermion chains
2007
Cited alongside, same era.

Then

L. Huijse and K. Schoutens, Supersymmetry, lattice fermions, independence complexes and cohomology theory
Original
2010
Later among the works it cites.
J. de Gier, G. Feher, B. Nienhuis and M. Rusaczonek, Integrable supersymmetric chain without particle conservation
2016
Later among the works it cites.
T. Fokkema and K. Schoutens, M k
Original
2017
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…