Rename is an option for Contract. If set to True, dummy indices in Eps are renamed, using $MU[i].
Rename
Contract
True
Eps
$MU[i]
Overview, Contract.
LC[\[Mu], \[Nu], \[Rho], \[Sigma]] LC[\[Alpha], \[Nu], \[Rho], \[Sigma]] Contract[%, EpsContract -> False, Rename -> True]
ϵˉανρσϵˉμνρσ\bar{\epsilon }^{\alpha \nu \rho \sigma } \bar{\epsilon }^{\mu \nu \rho \sigma }ϵˉανρσϵˉμνρσ