Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal gravity with totally antisymmetric torsion   We present a gauge theory of the conformal group in four spacetime dimensions
with a non-vanishing torsion. In particular, we allow for a completely
antisymmetric torsion, equivalent by Hodge duality to an axial vector whose
presence does not spoil the conformal invariance of the theory, in contrast
with claims of antecedent literature. The requirement of conformal invariance
implies a differential condition (in particular, a Killing equation) on the
aforementioned axial vector which leads to a Maxwell-like equation in a
four-dimensional curved background. We also give some preliminary results in
the context of $\mathcal{N}=1$ four-dimensional conformal supergravity in the
geometric approach, showing that if we only allow for the constraint of
vanishing supertorsion all the other constraints imposed in the spacetime
approach are a consequence of the closure of the Bianchi identities in
superspace. This paves the way towards a future complete investigation of the
conformal supergravity using the Bianchi identities in the presence a
non-vanishing (super)torsion.

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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: math
13
The categories of this paper are: quant-ph