Peng Zhou

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blog:2023-06-21 [2023/06/21 18:35] – [The Geometry of Coulomb branch] pzhoublog:2023-06-21 [2023/06/25 15:53] (current) – external edit 127.0.0.1
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 Consider $G=GL_1(\C)$, $V=\C$, standard representation.  Consider $G=GL_1(\C)$, $V=\C$, standard representation. 
   * what physicis say about $M_C(G,V)$? some principal $G$-bundle and connection, some associated bundle. minimization of some field configuration, that suppose to be the vacuum, no? Start again. Consider the path integral, over this gigantic space of field configuration, all possible kind. Trouble is, we don't know the integration measure. (we don't? even for the Euclidean signature? don't we have Gaussian integral after the Wick rotation?) What's the physical story? (STILL DON'T KNOW....)   * what physicis say about $M_C(G,V)$? some principal $G$-bundle and connection, some associated bundle. minimization of some field configuration, that suppose to be the vacuum, no? Start again. Consider the path integral, over this gigantic space of field configuration, all possible kind. Trouble is, we don't know the integration measure. (we don't? even for the Euclidean signature? don't we have Gaussian integral after the Wick rotation?) What's the physical story? (STILL DON'T KNOW....)
-  * What BFN says. +  * What BFN says, again some principal $G$-bundle
  
  
blog/2023-06-21.1687372512.txt.gz · Last modified: 2023/06/25 15:53 (external edit)