Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $3d$ fermion-boson map with imaginary chemical potential   We study the three-dimensional $U(N)$ Gross-Neveu and CP$^{N-1}$ models in
the canonical formalism with fixed $U(1)$ charge. For large-$N$ this is closely
related to coupling the models to abelian Chern-Simons in a monopole
background. We show that the presence of the imaginary chemical potential for
the $U(1)$ charge makes the phase structure of the models remarkably similar.
We calculate their respective large-$N$ free energy densities and show that
they are mapped into each other in a precise way. Intriguingly, the free energy
map involves the Bloch-Wigner function and its generalizations introduced by
Zagier. We expect that our results are connected to the recently discussed $3d$
bosonization.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph