Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetric M2-branes with Englert Fluxes and the simple group
  PSL(2,7)   A new class is introduced of M2-branes solutions of d=11 supergravity that
include internal fluxes obeying Englert equation in 7-dimensions. A simple
criterion for the existence of Killing spinors in such backgrounds is
established. Englert equation is viewed as the generalization to d=7 of
Beltrami equation defined in d=3 and it is trated accordingly. All 2-brane
solutions of minimal d=7 supergracity can be uplifted to d=11 and have N > 4 or
N = 4 supersymmetry. It is shown that the simple group PSL(2,7) is
crystallographic in d=7 having an integral action on the A7 root lattice. By
means of this point-group and of the T7 torus obtained quotiening R7 with the
A7 root lattice we were able to construct new M2 branes with Englert fluxes and
N < 4. In particular we exhibit here an N=1 solution depending on 4-parameters
and admitting a large non abelian discrete symmetry, namely G21 = Z3 semidirect
product with Z7 = subgroup of PSL(2,7). The dual d=3 field theories have the
same symmetries and have complicated non linear interactions.

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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci