Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory

TL;DR

This paper computes the entanglement entropy, stress tensor, and expectation value of Wilson surfaces in the 6D (2,0) theory using eleven-dimensional supergravity bubbling solutions, providing holographic insights into these non-local operators.

Contribution

It introduces new holographic calculations of entanglement entropy and Wilson surface expectation values in M-theory using bubbling geometries.

Findings

Calculated holographic entanglement entropy for Wilson surfaces.

Derived the holographic stress tensor in the presence of Wilson surfaces.

Evaluated the expectation value of Wilson surface operators.

Abstract

We consider solutions of eleven-dimensional supergravity constructed in [1,2] that are half-BPS, locally asymptotic to $AdS_7\times S^4$ and are the holographic dual of heavy Wilson surfaces in the six-dimensional $(2,0)$ theory. Using these bubbling solutions we calculate the holographic entanglement entropy for a spherical entangling surface in the presence of a planar Wilson surface. In addition, we calculate the holographic stress tensor and, by evaluating the on-shell supergravity action, the expectation value of the Wilson surface operator.