Brane Resolution and Gravitational Chern-Simons terms

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.

22 pages

References in corpus (7)

• Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
• New Complete Non-compact Spin(7) Manifolds
• M-Theory on Spin(7) Manifolds
• Hyper-Kahler Calabi Metrics, L^2 Harmonic Forms, Resolved M2-branes, and AdS_4/CFT_3 Correspondence
• Supersymmetric Non-singular Fractional D2-branes and NS-NS 2-branes
• Gravity Duals of Fractional Branes in Various Dimensions
• String Corrections to the Holographic RG Flow of Supersymmetric SU(N) x SU(N+M) Gauge Theory

Cited by in corpus (9)

• G-Structures, Fluxes and Calibrations in M-Theory
• AdS_4/CFT_3 duals from M2-branes at hypersurface singularities and their deformations
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• Time-dependent backgrounds from supergravity with gauged non-compact R-symmetry
• String and M-theory Deformations of Manifolds with Special Holonomy
• Generalised Holonomy for Higher-Order Corrections to Supersymmetric Backgrounds in String and M-Theory
• Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• Resolving the M2-brane