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The dual superconformal theory for Lpqr manifolds

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arxiv hep-th/0505220 v3 pith:GWU6POFV submitted 2005-05-24 hep-th

The dual superconformal theory for Lpqr manifolds

classification hep-th
keywords branesmanifoldssuperconformaltheorytoricassociatedcascadecentral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds L^{p,q,r}. Various checks of the identification are made by comparing the central charge and the R-charges of the chiral fields with the information that can be extracted from toric geometry. Fractional branes are also introduced and the physics of the associated duality cascade discussed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the Origin of Toric Diagrams

    hep-th 2026-07 conditional novelty 6.0

    A field's scaling dimension equals the number of perfect matchings at the chosen origin that contain it, making the gauge-theory Hilbert series equal the Ehrhart series of the dual polytope.

  2. Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Symplectic CS-SQCD

    hep-th 2026-05 unverdicted novelty 6.0

    New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.