Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Flavor-Wave Theory for Fully Antisymmetric $\mathrm{SU}(N)$
  Irreducible Representations   The extension of the linear flavor-wave theory (LFWT) to fully antisymmetric
irreducible representations (irreps) of $\mathrm{SU}(N)$ is presented in order
to investigate the color order of $\mathrm{SU}(N)$ antiferromagnetic Heisenberg
models in several two-dimensional geometries. The square, triangular and
honeycomb lattices are considered with $m$ fermionic particles per site. We
present two different methods: the first method is the generalization of the
multiboson spin-wave approach to $\mathrm{SU}(N)$ which consists of associating
a Schwinger boson to each state on a site. The second method adopts the Read
and Sachdev bosons which are an extension of the Schwinger bosons that
introduces one boson for each color and each line of the Young tableau. The two
methods yield the same dispersing modes, a good indication that they properly
capture the semi-classical fluctuations, but the first one leads to spurious
flat modes of finite frequency not present in the second one. Both methods lead
to the same physical conclusions otherwise: long-range N\'eel-type order is
likely for the square lattice for $\mathrm{SU}(4)$ with two particles per site,
but quantum fluctuations probably destroy order for more than two particles per
site, with $N=2m$. By contrast, quantum fluctuations always lead to corrections
larger than the classical order parameter for the tripartite triangular lattice
(with $N=3m$) or the bipartite honeycomb lattice (with $N=2m$) for more than
one particle per site, $m>1$, making the presence of color very unlikely except
maybe for $m=2$ on the honeycomb lattice, for which the correction is only
marginally larger than the classical order parameter.

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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom