论文标题
Grothendieck会议[Wess＆Bagger]：[超对称性和超级重力：iv，v，vi，vii，vii，xxii，]（第二版）（第二版）复杂化的$ {\ bbb z}/2 $ c $ c^\ infty $ c^\ infty $ c^\ infty $ -Algebraic gemetry，I.
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
论文作者
论文摘要
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超级强烈：Julius Wess＆Jonathan Bagger：超对称性和超级重力（第二版），最终被抛光，仅添加了最小的数学补丁，以保持一致性和准确性，以处理来自Grassmann代数的Nilpotent对象，涉及Grassmann代数的nilpotention，以精确的语言，以精确的语言，以在复杂的语言中进行$ n}/2 $ 2 $ 2 $ 2 $ 2 $ 2 = $ c^\ infty $ - 代数几何形状。这是在从D（14.1）（Arxiv：1808.05011 [Math.dg]中学到的教训）和“ $ d = 3+1 $，$ n = 1 $ thateed Superspaces”的概念，因为$ {\ bbb Z}/2 $ c^$ c^\ iffty $ - Sectul-Sectul and sectul and putipuly int Secret and putiputied $ n = 1 $ n = 1 $。 Susy（1）（= D（14.1.Supp.1））（Arxiv：1902.06246 [Hepth]），在当前工作中进一步抛光。尽管该结构取决于通过协变量恒定的部分选择旋转束的琐碎化，但只要在变化下，通过将协方差的固定截面的旋转捆绑块的变化和诱导的同构理解，就可以理解纺纱束的微不足道，因此被理解为对象或结构，因此定义或结构化或结构上是数学上确定的。该结构可以推广到所有其他时空维度，并具有简单或扩展的超对称性。这是研究Ramond-Neveu-Schwarz公式中学习费米子D-Branes所需的数学基础的一部分。
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.
