AdS5 holography and higher-derivative supergravity

We study four-derivative corrections to 5d N = 2 minimal gauged supergravity using tools from conformal supergravity. There are two supersymmetric invariants at the four-derivative order and we show explicitly how to write down the action in the Poincare frame in terms of their coefficients. We apply our results in the context of holography where the four-derivative terms in the supergravity action translate into corrections to the conformal anomalies of the dual 4d N = 1 SCFT. We use these results to study corrections to the entropy of the supersymmetric black string solutions of minimal supergravity. We also discuss explicit embeddings of the 5d supergravity in string and M-theory and use them to fix the higher-derivative coefficients in terms of the microscopic parameters.

Automated summary

In this study, we investigate four-derivative corrections to 5d N = 2 minimal gauged supergravity using tools from conformal supergravity. We identify two supersymmetric invariants and construct the action in the Poincare frame in terms of their coefficients. Applying these results in holography, we find that the four-derivative terms in the supergravity action lead to corrections in the conformal anomalies of the dual 4d N = 1 SCFT. We also analyze the corrections to the entropy of supersymmetric black string solutions and discuss the explicit embeddings of 5d supergravity in string and M-theory to determine the higher-derivative coefficients in terms of microscopic parameters.