Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge Hierarchy, Planck Scale Corrections And The Origin of GUT Scale In
  Supersymmetric $(SU(3))^3$   Within a supersymmetric unified framework we explore the resolution of the
gauge hierarchy problem taking account of the non-renormalizable terms in the
superpotential. For $[SU(3)]^3$ supplemented by a discrete R parity, we find
the remarkable property that the vacuum configuration corresponding to the
correct gauge symmetry breaking remains flat (in the supersymmetric limit) to
all orders in $M^{-1}_{Planck}$. The grand unification scale arises from an
interplay of the Planck and supersymmetry breaking scales. An `internal'
$Z_3\otimes Z_4$ symmetry protects a pair of electroweak doublets from becoming
superheavy, yielding at the same time the supersymmetric `$\mu$ term' with the
right order of magnitude. The $Z_4$ symmetry also acts as matter parity and
eliminates the dangerous baryon number violating couplings.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom