Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interactions of Charged Spin-2 Fields   In light of recent progress in ghost-free theories of massive gravity and
multi-gravity, we reconsider the problem of constructing a ghost-free theory of
an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting
point is the theory originally proposed by Federbush, which is essentially
Fierz-Pauli generalized to include a minimal coupling to a U(1) gauge field. We
show the Federbush theory with a dynamical U(1) field is in fact ghost-free and
can be treated as a healthy effective field theory to describe a massive
charged spin-2 particle. It can even potentially have healthy dynamics above
its strong-coupling scale. We then construct candidate gravitational extensions
to the Federbush theory both by using Dimensional Deconstruction, and by
constructing a general non-linear completion. However, we find that the U(1)
symmetry forces us to modify the form of the Einstein-Hilbert kinetic term. By
performing a constraint analysis directly in the first-order form, we show that
these modified kinetic terms inevitably reintroduce the Boulware-Deser ghost.
As a by-product of our analysis, we present a new proof for ghost-freedom of
bi-gravity in 2+1 dimensions (also known as Zwei-Dreibein gravity). We also
give a complementary algebraic argument that the Einstein-Hilbert kinetic term
is incompatible with a U(1) symmetry, for a finite number of gravitons.

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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol