Nekrasov-Shatashvili limit of the 5D superconformal index

We would like to thank M. Buican and J. Hayling for helpful discussions and comments. A. P. and D. R. G. would like to acknowledge the CRST at Queen Mary University of London for hospitality during various stages of this work and the associated support of the COST Action MP1210 STSM. C. P. is supported by the Royal Society through a University Research Fellowship. A. P. and D. R. G. are partly supported by the Spanish Government Grant No. MINECO-13-FPA2012-35043-C02-02. In addition, they acknowledge financial support from the Ramon y Cajal Grant No. RYC-2011-07593 as well as the EU CIG Grant No. UE-14-GT5LD2013-618459. The work of A. P. is funded by the Asturian Government SEVERO OCHOA Grant No. BP14-003.