The one-loop M2 brane partition function in AdS4 x S7/Z_k reproduces B_1 = -(1/(2π k)) cot(2π/k), the localization value for the ABJM Bremsstrahlung function.
The M-Theory Two-Brane in AdS_4 x S^7 and AdS_7 x S^4
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We construct the supermembrane action in an AdS_4 x S^7 and AdS_7 x S^4 background to all orders in anticommuting coordinates. The result is compared to and agrees completely with results obtained earlier for generic supergravity backgrounds through gauge completion at low orders in \theta.
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Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane
The one-loop M2 brane partition function in AdS4 x S7/Z_k reproduces B_1 = -(1/(2π k)) cot(2π/k), the localization value for the ABJM Bremsstrahlung function.