Prequantum Articles

Tag Archive for: prequantum

11dgravity

11d Gravity From Just the Torsion Constraint

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 It is familiar that Einstein gravity may be formulated in terms of a vielbein field together with a "spin connection", subject to the constraint…
Supersymmetry

Learn About Supersymmetry and Deligne’s Theorem

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 In 2002, Pierre Deligne proved a remarkable theorem on what mathematically is called Tannakian reconstruction of tensor categories. Here…
prequantum4

Examples of Prequantum Field Theories IV: Wess-Zumino-Witten-type Theories

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  At the end of this page, we will have come full circle back to the first article in the series 20 years ago -- The M-Theory Conjecture.We…
prequantum3

Examples of Prequantum Field Theories III: Chern-Simons-type Theories

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  After having constructed gauge fields and higher gauge fields in the previous article by systems of ##L_\infty##-algebroid-valued…
guagetheory

Examples of Prequantum Field Theories II: Higher Gauge Fields

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   After having recalled ordinary gauge fields from a dg-algebraic perspective in the previous article, here I discuss…
prequantumft

Examples of Prequantum Field Theories I: Gauge Fields

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  After having motivated the need for prequantum field theory and having laid out its principles (i. extremal action, ii. global…