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For questions about the discipline that uses differential calculus and linear algebra to study geometrical problems.
17
votes
Accepted
When and how was the geometric understanding of gauge theories developed?
I'll focus on the geometry of Yang-Mills theories specifically, but as Conifold's answer points out, gauge theories were studied geometrically long before the work of Yang and Mills.
The foreward to …
3
votes
Accepted
How did the 'Poincaré patches' get their name?
The explanation I learned when I first learned the term Poincare patch on AdS$_{d+1}$ in the context of AdS/CFT is the following. The metric for such a patch is
\begin{equation*}
ds^2 = \frac 1{z^2} …