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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 2012Embargo end date: 01 Jan 2012 Italy Publisher:Springer Science and Business Media LLCJournal:Journal of High Energy Physics, volume 2,012 (eissn: 1029-8479,

Authors: BILLO', Marco; FRAU, Marialuisa; F. Fucito; L. Giacone; A. Lerda; J. F. Morales; D. Ricci Pacifici;

doi: 10.1007/jhep08(2012)166 , 10.48550/arxiv.1206.3914

arXiv: http://arxiv.org/abs/1206.3914

handle: 2318/117223 , 11579/12860

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 Z2 orbifold singularity supporting 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.

42 pages. 3 figures, PDFLaTeX

Country

Italy

Related Organizations

University of Turin
Italy
University of Eastern Piedmont Amadeo Avogadro
Italy
University of Rome Tor Vergata
Italy
University of Turin
Italy

Keywords

gauge/gravity correspondence, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Supersymmetric Effective Theories, D-brane, 500, FOS: Physical sciences, Gravity dual; Non perturbative corrections; Fractional D-branes, 530

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