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Symmetric Jordan-Wigner transformation on the square lattice

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Interpreted in a restricted sense, the Jordan-Wigner transformation provides a manifestly local representation of a lattice fermionic system using bosonic degrees of freedom. While locality becomes an issue in higher than one spatial dimension in the original formulation, recently it has been shown that the problem can be resolved by invoking a background Z2 gauge theory. Building on these recent developments, we will discuss a way to perform the Jordan-Wigner transformation while keeping not only locality but also the symmetries manifest.

This talk is part of the Theory of Condensed Matter series.

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