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The M-Theory Two-Brane in AdS_4 x S^7 and AdS_7 x S^4

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arxiv hep-th/9808052 v1 pith:6S7QOKSI submitted 1998-08-10 hep-th

Bernard de Wit , Kasper Peeters , Jan Plefka , Alexander Sevrin This is my paper · ORCID
classification hep-th
keywords ordersactionagreesanticommutingbackgroundbackgroundscomparedcompletely
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

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  1. 2-loop free energy of M2 brane in AdS$_7 \times$ S$^4$ and surface defect anomaly in (2,0) theory

    hep-th 2025-11 conditional novelty 7.0 of 10

    The 2-loop (1/N) correction to the M2-brane free energy in AdS7×S4 vanishes in dimensional and ζ-function regularizations, so the boundary defect anomaly is b = 12N − 9, supporting the U(N) (2,0) interpretation.

  2. Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane

    hep-th 2025-01 conditional novelty 7.0 of 10

    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.

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