Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the RS2 realization of unparticles   To facilitate the study of the unparticle scenario it is very desirable to
have a treatable model realizing it in four dimensions. Motivated by the
general idea of the AdS/CFT correspondence, we consider a simple construction:
the Randall-Sundrum 2 (single brane) setup with the Standard Model fields on
the brane and a massive vector field in the warped bulk. We show that in this
model the known properties of vector unparticles -- the nontrivial phase of the
CFT propagator, the necessity and dominance of contact interactions, the
unitarity constraint on the conformal dimension of the operator, and the tensor
structure dictated by conformal symmetry -- follow by simple inspection of the
brane-to-brane propagator. The phase has a physical interpretation as
controlling the rate of escape of unparticles into the extra dimension.
Requiring the correct sign for the imaginary part of the longitudinal
polarization of the propagator, we obtain the unitarity condition m_5^2 >= 0,
which, unlike in the scalar case, is unchanged from flat space. This condition
results in the unitarity bound d_V >= 3, or, more generally, d_V >= D-1 for a
vector unparticle in D-dimensional space. It is instructive to consider the RS
2 propagator in (Euclidean) position space: at large distances it behaves as a
pure CFT propagator, while at short distances it turns into the 5d flat space
propagator. The latter is softer than the former, thus regulating the would-be
divergences of the spectral integral and turning the "contact" terms seen at
low energies into finite-range interactions. Upon Fourier transforming to
momentum space, one finds that at low momenta the CFT piece is subdominant to
the "contact" interactions.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math