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Non-perturbative gauge/gravity correspondence in \( \mathcal{N} \) = 2 theories

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Abstract

We derive the exact supergravity profile for the twisted scalar field emitted by a system of fractional D3 branes at a \( {\mathbb{Z}_2} \) orbifold singularity supporting \( \mathcal{N} \) = 2 quiver gauge theories with unitary groups and bifundamental matter. At the perturbative level this twisted field is “dual” to the gauge coupling but it is corrected non-perturbatively by an infinite tower of fractional D-instantons. The explicit microscopic description allows to derive the gravity profile from disk amplitudes computing the emission rate of the twisted scalar field in terms of chiral correlators in the dual gauge theory. We compute these quantum correlators using multi-instanton localization techniques and/or Seiberg-Witten analysis. Finally, we discuss a non-perturbative relation between the twisted scalar and the effective coupling of the gauge theory for some simple choices of the brane set ups.

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Authors and Affiliations

  1. Università degli Studi di Torino, Dipartimento di Fisica and I.N.F.N. — Sezione di Torino, Via P. Giuria 1, I-10125, Torino, Italy

    M. Billó, M. Frau & L. Giacone

  2. I.N.F.N. — Sezione di Roma 2 and Università di Roma Tor Vergata, Dipartimento di Fisica, Via della Ricerca Scientifica, I-00133, Roma, Italy

    F. Fucito, J. F. Morales & D. Ricci Pacifici

  3. Università del Piemonte Orientale, Dipartimento di Scienze e Innovazione Tecnologica and I.N.F.N. — Gruppo Collegato di Alessandria — Sezione di Torino, Viale T. Michel 11, I-15121, Alessandria, Italy

    A. Lerda

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  1. M. Billó
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Correspondence to M. Billó.

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ArXiv ePrint: 1206.3914

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Billó, M., Frau, M., Fucito, F. et al. Non-perturbative gauge/gravity correspondence in \( \mathcal{N} \) = 2 theories. J. High Energ. Phys. 2012, 166 (2012). https://doi.org/10.1007/JHEP08(2012)166

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