  In this work we revisit the problem of contributions of excited holographic
states to the entanglement entropy in two-dimensional conformal field theories.
Using the results of replica trick method we find three expressions for these
contributions. First, we express the contribution of the excited states in
terms of Aharonov invariants. It is shown that beside the Schwarzian, the
one-point functions of descendants of energy-momentum also contribute. Given
Schwarz-Christoffel map, the contributions to any order can be easily computed.
The second expression relates the entanglement entropy of excited states to
Faber polynomials and Grunsky coefficients. Based on the relation of Grunsky
coefficiens to tau-funcion of dispersionless Toda hierarchy, we find the third
expression for contributions of excited holographic states to the entanglement
entropy.
