Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ABC of Higher-Spin AdS/CFT   In recent literature one-loop tests of the higher-spin AdS$_{d+1}$/CFT$_d$
correspondences were carried out. Here we extend these results to a more
general set of theories in $d>2$. First, we consider the Type B higher spin
theories, which have been conjectured to be dual to CFTs consisting of the
singlet sector of $N$ free fermion fields. In addition to the case of $N$ Dirac
fermions, we carefully study the projections to Weyl, Majorana, symplectic, and
Majorana-Weyl fermions in the dimensions where they exist. Second, we explore
theories involving elements of both Type A and Type B theories, which we call
Type AB. Their spectrum includes fields of every half-integer spin, and they
are expected to be related to the $U(N)/O(N)$ singlet sector of the CFT of $N$
free complex/real scalar and fermionic fields. Finally, we explore the Type C
theories, which have been conjectured to be dual to the CFTs of $p$-form gauge
fields, where $p=\frac d 2 -1$. In most cases we find that the free energies at
$O(N^0)$ either vanish or give contributions proportional to the free-energy of
a single free field in the conjectured dual CFT. Interpreting these
non-vanishing values as shifts of the bulk coupling constant $G_N\sim 1/(N-k)$,
we find the values $k=-1, -1/2, 0, 1/2, 1, 2$. Exceptions to this rule are the
Type B and AB theories in odd $d$; for them we find a mismatch between the bulk
and boundary free energies that has a simple structure, but does not follow
from a simple shift of the bulk coupling constant.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn