Abstract
We present a prescription for obtaining the difference of the central charges, c−a, of a four dimensional superconformal quantum field theory from its single-trace index. The formula is derived from a one-loop holographic computation, but is expected to be valid independent of holography. We demonstrate the prescription with several holographic and non-holographic examples. As an application of our formula, we show the AdS/CFT matching of c − a for arbitrary toric quiver CFTs without adjoint matter that are dual to smooth Sasaki-Einstein 5-manifolds.
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ArXiv ePrint: 1407.6024
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Ardehali, A.A., Liu, J.T. & Szepietowski, P. c − a from the \( \mathcal{N}=1 \) superconformal index. J. High Energ. Phys. 2014, 145 (2014). https://doi.org/10.1007/JHEP12(2014)145
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DOI: https://doi.org/10.1007/JHEP12(2014)145