Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grothendieck meeting [Wess & Bagger]: [Supersymmetry and supergravity:
  IV, V, VI, VII, XXII] (2nd ed.) reconstructed in complexified ${\Bbb
  Z}/2$-graded $C^\infty$-Algebraic Geometry, I. Construction under
  trivialization of spinor bundle   Forty-six years after the birth of supersymmetry in 1973 from works of Julius
Wess and Bruno Zumino, the standard quantum-field-theorists and particle
physicists' language of `superspaces', `supersymmetry', and `supersymmetric
action functionals in superspace formulation' as given in Chapters IV, V, VI,
VII, XXII of the classic on supersymmetry and supergravity: Julius Wess &
Jonathan Bagger: Supersymmetry and Supergravity (2nd ed.), is finally polished,
with only minimal mathematical patches added for consistency and accuracy in
dealing with nilpotent objects from the Grassmann algebra involved, to a
precise setting in the language of complexified ${\Bbb Z}/2$-graded
$C^\infty$-Algebraic Geometry. This is completed after the lesson learned from
D(14.1) (arXiv:1808.05011 [math.DG]) and the notion of `$d=3+1$, $N=1$ towered
superspaces' as complexified ${\Bbb Z}/2$-graded $C^\infty$-schemes, their
distinguished sectors, and purge-evaluation maps first developed in SUSY(1) (=
D(14.1.Supp.1)) (arXiv:1902.06246 [hep-th]) and further polished in the current
work. While the construction depends on a choice of a trivialization of the
spinor bundle by covariantly constant sections, as long as the transformation
law and the induced isomorphism under a change of trivialization of the spinor
bundle by covariantly constant sections are understood, any object or structure
thus defined or constructed is mathematically well-defined. The construction
can be generalized to all other space-time dimensions with simple or extended
supersymmetries. This is part of the mathematical foundation required to study
fermionic D-branes in the Ramond-Neveu-Schwarz formulation.

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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci