Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational free energy in topological AdS/CFT   We define and study a holographic dual to the topological twist of
$\mathcal{N}=4$ gauge theories on Riemannian three-manifolds. The gravity duals
are solutions to four-dimensional $\mathcal{N}=4$ gauged supergravity, where
the three-manifold arises as a conformal boundary. Following our previous work,
we show that the renormalized gravitational free energy of such solutions is
independent of the boundary three-metric, as required for a topological theory.
We then go further, analyzing the geometry of supersymmetric bulk solutions.
Remarkably, we are able to show that the gravitational free energy of any
smooth four-manifold filling of any three-manifold is always zero. Aided by
this analysis, we prove a similar result for topological AdS$_5$/CFT$_4$. We
comment on the implications of these results for the large $N$ limits of
topologically twisted gauge theories in three and four dimensions, including
the ABJM theory and $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills, respectively.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: nlin
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The categories of this paper are: econ
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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: patt-sol
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The categories of this paper are: nucl-ex