Note on Chern-Simons Term Correction to Holographic Entanglement Entropy

TL;DR

This paper investigates how gravitational Chern-Simons terms modify holographic entanglement entropy in AdS/CFT, revealing entropy corrections without altering the bulk geometry.

Contribution

It demonstrates that gravitational Chern-Simons terms lead to modifications in holographic entanglement entropy in AdS$_3$/CFT$_2$ without changing the bulk spacetime geometry.

Findings

Holographic entanglement entropy is corrected by the Chern-Simons term.

Bulk geometry remains unchanged despite entropy correction.

The correction parallels the BTZ black hole entropy modification.

Abstract

From the perspective of AdS/CFT correspondence, we study the gravitational Chern-Simons term correction to the holographic entanglement entropy of CFT on the conformal boundary of asymptotically AdS$_3$ spacetime using the off-shell Euclidean path integral method. We show that, like the BTZ black hole entropy, the holographic entanglement entropy is indeed modified due to the gravitational Chern-Simons term although the bulk geometry does not change.