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D-branes on the Conifold and N = 1 Gauge/Gravity Dualities

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Unity from Duality: Gravity, Gauge Theory and Strings

Part of the book series: Les Houches - Ecole d’Ete de Physique Theorique ((LHSUMMER,volume 76))

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Abstract

We review extensions of the AdS/CFT correspondence to gauge/gravity dualities with N = 1 supersymmetry. In particular, we describe the gauge/gravity dualities that emerge from placing D3-branes at the apex of the conifold. We consider first the conformal case, with discussions of chiral primary operators and wrapped D-branes. Next, we break the conformal symmetry by adding a stack of partially wrapped D5-branes to the system, changing the gauge group and introducing a logarithmic renormalization group flow. In the gravity dual, the effect of these wrapped D5-branes is to turn on the flux of 3-form field strengths. The associated RR 2-form potential breaks the U(1) R-symmetry to ℤ2M and we study this phenomenon in detail. This extra flux also leads to deformation of the cone near the apex, which describes the chiral symmetry breaking and confinement in the dual gauge theory.

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Authors and Affiliations

  1. Department of Physics, Princeton University Princeton, NJ, 08544, USA

    I. R. Klebanov

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  1. I. R. Klebanov
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  2. C. P. Herzog
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  3. P. Ouyang
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C. Bachas A. Bilal M. Douglas N. Nekrasov F. David

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Klebanov, I.R., Herzog, C.P., Ouyang, P. (2002). D-branes on the Conifold and N = 1 Gauge/Gravity Dualities. In: Bachas, C., Bilal, A., Douglas, M., Nekrasov, N., David, F. (eds) Unity from Duality: Gravity, Gauge Theory and Strings. Les Houches - Ecole d’Ete de Physique Theorique, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36245-2_5

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  • DOI: https://doi.org/10.1007/3-540-36245-2_5

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