Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mapping the vacuum structure of gauged maximal supergravities: an
  application of high-performance symbolic algebra   The analysis of the extremal structure of the scalar potentials of gauged
maximally extended supergravity models in five, four, and three dimensions, and
hence the determination of possible vacuum states of these models is a
computationally challenging task due to the occurrence of the exceptional Lie
groups $E_6$, $E_7$, $E_8$ in the definition of these potentials. At present,
the most promising approach to gain information about nontrivial vacua of these
models is to perform a truncation of the potential to submanifolds of the $G/H$
coset manifold of scalars which are invariant under a subgroup of the gauge
group and of sufficiently low dimension to make an analytic treatment possible.
  New tools are presented which allow a systematic and highly effective study
of these potentials up to a previously unreached level of complexity. Explicit
forms of new truncations of the potentials of four- and three-dimensional
models are given, and for N=16, D=3 supergravities, which are much more rich in
structure than their higher-dimensional cousins, a series of new nontrivial
vacua is identified and analysed.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th