Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unidirectional Maxwellian Spin Waves   We develop a unified perspective of unidirectional topological edge waves in
non-reciprocal media. We focus on the inherent role of photonic spin in
non-reciprocal gyroelectric media, ie. magnetized metals or magnetized
insulators. We first review the concept of a Maxwell Hamiltonian in
non-reciprocal media, which immediately reveals that the gyrotropic coefficient
behaves as a photon mass in two dimensions. Similar to the Dirac mass, this
photonic mass opens bandgaps in the energy dispersion of bulk propagating
waves. Within these bulk photonic bandgaps, three distinct classes of
Maxwellian edge waves exist - each arising from subtle differences in boundary
conditions. On one hand, the edge wave solutions are rigorous photonic analogs
of Jackiw-Rebbi electronic edge states. On the other hand, for the exact same
system, they can be high frequency photonic counterparts of the integer quantum
Hall effect, familiar at zero frequency. Our Hamiltonian approach also predicts
the existence of a third distinct class of Maxwellian edge wave exhibiting
topological protection. The Maxwellian edge state in this unique
\textit{quantum gyroelectric phase of matter} necessarily requires a sign
change in gyrotropy arising from non-locality (spatial dispersion). A signature
property of these topological electromagnetic edge states is that they are
oblivious to the contacting medium, ie. they occur at the interface of the
quantum gyroelectric phase and any medium (even vacuum). Furthermore, the
Maxwellian spin waves exhibit photonic spin-1 quantization in exact analogy
with their supersymmetric spin-\sfrac{1}{2} counterparts. The goal of this
paper is to discuss these three foundational classes of edge waves in a unified
perspective while providing in-depth derivations, taking into account
non-locality and various boundary conditions.

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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math