Higher Derivative Corrections and Central Charges from Wrapped M5-branes

Understand

We compute four-derivative corrections to the AdS supergravity actions arising from the near-horizon geometry of N M5-branes wrapped on either one or two Riemann surfaces.

• This setup features the novel presence of both gauged isometries as well as nontrivial hypermultiplets.
• We argue that the 5d Chern-Simons terms receive not only higher-derivative corrections but also contributions from Killing vector parameters, which we find must also be corrected.
• We check the central charges found by our supergravity methods against the dual field theory results and find perfect agreement at leading and subleading order in N.