Abstract
We investigate the AdS/CFT correspondence for quiver gauge theories realized on D3-branes put on abelian orbifolds by using the superconformal index. We assume that on the gravity side the finite N corrections of the index are reproduced by D3-branes wrapped on three particular three-cycles in the internal space \( \mathcal{Y} \), the abelian orbifold of S5. We first establish the relation between baryonic charges on the gauge theory side and the D3-brane wrapping numbers and holonomies on D3-branes. Then we confirm our proposal by comparing the results of localization for gauge theories and the results on the AdS side including the contributions of D3-branes and excitation on them for many examples. We only focus on the leading finite N corrections starting from qN , and leave the sub-leading corrections starting at qkN (k ≥ 2) as a task for the future. We find complete agreement for the leading corrections in all examples.
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ArXiv ePrint: 1907.05660
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Arai, R., Fujiwara, S., Imamura, Y. et al. Finite N corrections to the superconformal index of orbifold quiver gauge theories. J. High Energ. Phys. 2019, 243 (2019). https://doi.org/10.1007/JHEP10(2019)243
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DOI: https://doi.org/10.1007/JHEP10(2019)243