One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.
Dirac Action on M5 and M2 Branes with Bulk Fluxes
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abstract
We derive an explicit form of the quadratic in fermions Dirac action on the M5 brane for an arbitrary on-shell background of 11D supergravity with non-vanishing fluxes and in presence of a chiral 2-form on M5. This action may be used to generalize the conditions for which the non-perturbative superpotential can be generated in M/string theory. We also derive the Dirac action with bulk fluxes on the M2 brane.
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Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies
One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.