Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice duality for the compact Kardar-Parisi-Zhang equation   A comprehensive theory of the Kosterlitz-Thouless transition in
two-dimensional superfluids in thermal equilibrium can be developed within a
dual representation which maps vortices in the superfluid to charges in a
Coulomb gas. In this framework, the dissociation of vortex-antivortex pairs at
the critical temperature corresponds to the formation of a plasma of free
charges. The physics of vortex unbinding in driven-dissipative systems such as
fluids of light, on the other hand, is much less understood. Here we make a
crucial step to fill this gap by deriving a transformation that maps the
compact Kardar-Parisi-Zhang (KPZ) equation, which describes the dynamics of the
phase of a driven-dissipative condensate, to a dual electrodynamic theory. The
latter is formulated in terms of modified Maxwell equations for the
electromagnetic fields and a diffusion equation for the charges representing
vortices in the KPZ equation. This mapping utilizes an adaption of the Villain
approximation to a generalized Martin-Siggia-Rose functional integral
representation of the compact KPZ equation on a lattice.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th