Holographic entanglement entropy from probe M-theory branes

Abstract

Abstract We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional N = 2 0 $$ \mathcal{N}=\left(2,0\right) $$ superconformal field theory, holographically dual to probe M2- and M5-branes in AdS 7 × S 4. In particular, we test the viability of the universal contribution of the defect to entanglement entropy as a candidate C-function. We find that this coefficient is not monotonic under defect renormalization group flows triggered by the vacuum expectation value of a marginal operator. Another candidate C-function, the on-shell action inside the entanglement wedge, monotonically decreases under the flows we study.

Keywords

• AdS-CFT Correspondence
• M-Theory
• p-branes