Entanglement entropy of gauge fields is calculated using the partition function in curved spacetime with a boundary. Deriving a Gibbons-Hawking-like term from a Becchi-Rouet-Stora-Tyutin (BRST) action produces a Wald-entropy-like codimension-2 surface term. It is further suggested that boundary degrees of freedom localized on the entanglement surface generated from the gauge redundancy could be used to resolve a subtle mismatch in a universal conformal anomaly-entanglement entropy relation.
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Kuo-Wei Huang (2015) studied this question.