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RE: [math, computation] ADS geometry
Great post! In a sense, an anti De Sitter space is usually embedded in a space with "Lorentzian metric" that has 2 time dimensions instead of 1.
Great post! In a sense, an anti De Sitter space is usually embedded in a space with "Lorentzian metric" that has 2 time dimensions instead of 1.
yes , you're right. We can realized ads_D as a hyperbolid embedded in D+1 dimensional geometry, So the isometry of ads_D is SO(2, D-1). Thus in a sense of Lorentzian metric, we have 2 time dimension!