On Seiberg-Witten theory in 3d and 4d

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On Seiberg-Witten theory in 3d and 4d

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According to Gukov et al. in this 2017 paper Seiberg-Witten theory in 4d categorifies Seiberg-Witten theory in 3d. In what sense is this phrase mentioned? I know what the process of categorification is (e.g. how Khovanov homology categorifies Jones polynomial).

What is the exact relation between the 3d and 4d versions of Seiberg-Witten theory and in what sense is the latter the categorification of the former?

This post imported from StackExchange Physics at 2017-03-15 22:55 (UTC), posted by SE-user Gorbz

asked Mar 14, 2017 in Theoretical Physics by Gorbz (90 points) [ revision history ]
edited Mar 18, 2017 by Arnold Neumaier

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