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For simplicity, we will not distinguish between different signatures. Thus, the AdS algebra in D dimensions will be denoted as (Formula presented)
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For simplicity, we will not distinguish between different signatures. Thus, the AdS algebra in D dimensions will be denoted as (Formula presented)
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An explicit expression for the CS form in Eq. (6) is (Formula presented) If the manifold M has no boundary, the action can be written as a topological theory in a (Formula presented)-dimensional space Ω, with (Formula presented)
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An explicit expression for the CS form in Eq. (6) is (Formula presented) If the manifold M has no boundary, the action can be written as a topological theory in a (Formula presented)-dimensional space Ω, with (Formula presented)
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32
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85038920940
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The ± sign corresponds to the two choices of inequivalent representations of Γ’s, which in turn reflect the two chiral representations in (Formula presented) As mentioned earlier, the supersymmetric extensions of (Formula presented) or (Formula presented) require using both chiralities, thus doubling the algebras. Here we choose the + sign, which gives the minimal extension.
-
The ± sign corresponds to the two choices of inequivalent representations of Γ’s, which in turn reflect the two chiral representations in (Formula presented) As mentioned earlier, the supersymmetric extensions of (Formula presented) or (Formula presented) require using both chiralities, thus doubling the algebras. Here we choose the + sign, which gives the minimal extension.
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