Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasilocal charges in integrable lattice systems   We review recent progress in understanding the notion of locality in
integrable quantum lattice systems. The central concept are the so-called
quasilocal conserved quantities, which go beyond the standard perception of
locality. Two systematic procedures to rigorously construct families of
quasilocal conserved operators based on quantum transfer matrices are outlined,
specializing on anisotropic Heisenberg XXZ spin-1/2 chain. Quasilocal conserved
operators stem from two distinct classes of representations of the auxiliary
space algebra, comprised of unitary (compact) representations, which can be
naturally linked to the fusion algebra and quasiparticle content of the model,
and non-unitary (non-compact) representations giving rise to charges,
manifestly orthogonal to the unitary ones. Various condensed matter
applications in which quasilocal conservation laws play an essential role are
presented, with special emphasis on their implications for anomalous transport
properties (finite Drude weight) and relaxation to non-thermal steady states in
the quantum quench scenario.

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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas