Brane Resolution and Gravitational Chern-Simons terms
Francisco A. Brito, Mirjam Cvetic, and Asad Naqvi
TL;DR
This paper demonstrates that gravitational Chern-Simons terms can resolve singularities in M2-brane solutions with special holonomy spaces, leading to smooth geometries with implications for holographic dual theories.
Contribution
It provides explicit smooth solutions for M2-branes with Spin(7) and SU(4) holonomy, incorporating gravitational Chern-Simons corrections to resolve singularities.
Findings
Resolved M2-brane solutions with Spin(7) holonomy
Resolved M2-brane solutions with SU(4) holonomy
Implications for holographic three-dimensional theories
Abstract
We show that gravitational Chern-Simons corrections, associated with the sigma-model anomaly on the M5-brane world-volume, can resolve the singularity of the M2-brane solution with Ricci-flat, special holonomy transverse space. We explicitly find smooth solutions in the cases when the transverse space is a manifold of Spin(7) holonomy and SU(4) holonomy. We comment on the consequences of these results for the holographically related three-dimensional theories living on the world volume of a stack of such resolved M2-branes.
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