An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals

By S. Benvenuti, S. Franco, A. Hanany, D. Martelli, J. Sparks. 2004

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We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of orbifold theories by a simple iterative procedure. A key aspect in their construction relies on the global symmetry which is dual to the isometry of the manifolds. For an arbitrary such quiver we compute the exact R-charges of the fields in the IR by applying a-maximization. The values we obtain are generically quadratic irrational numbers and agree perfectly with the central charges and baryon charges computed from the family of metrics using the AdS/CFT correspondence. These results open the way for a systematic study of the quiver gauge theories and their dual geometries.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d760b44c36a1b192fdeaf16bdc253ff1ca660b3b

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Citations in the corpus

From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, methodology): “Inspired by the results of [18] and [28], using the relation between the physical (p, q)webs of five branes and toric diagrams [35, 6], we then construct the superconformal quivers associated to the Lgeometries.”
Brane dimers and quiver gauge theories (2005, background): “Hence, the determination of gauge theories dual to an infinite number of geometries usually involve indirect evidence such as: (un)higgsing, global symmetries, computation of R-charges and central charges and comparison to volumes in the underlying geometry [16, 32].”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, background): “Over the last few years a number of authors have discovered an infinite number of generalizations of the AdS/CFT conjecture [65, 66, 67, 68, 69, 70, 71, 72, 73].”
The Dual superconformal theory for L**pqr manifolds (2005, background): “theory [ 5 ], new checks of the AdS/CFT correspondence were possible [5–8].”
Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence (2008, background): “For the generalization to l > 2 in the context of conifold theory, which preserves only one global SU(2), see for example [25].”
Counting gauge invariants: The Plethystic program (2007, neutral): “e.g. [7, 8, 39, 40 , 41]) was studied in detail in [4].”
On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes (2006, background): “The N = 1 superconformal gauge theories dual to AdS5 × Y p,q were constructed in [47].”
The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds (2005, methodology): “The field theories for the remaining Y p,q family were constructed in [10] and again perfect agreement was found for the two computations.”
Gauged supergravity from type IIB string theory on Yp, q manifolds (2006, background): “We find that the shear viscosity and entropy density in the quiver gauge theories [30, 31] continues to satisfy the universality relation (1.”
Maximally homogeneous para-CR manifolds of semisimple type (2006, neutral): “The existence of Killing spinors not only puts restrictions on the Ricci curvature, but also on both the Riemannian and the Weyl curvature operators [ BFGK91 ].”
N=1 theories of class S_k (2015, background): “This theory is also know as Yp=1,q=1 (modulo the extra superpotential terms) in the Yp,q nomenclature [61].”
Tilings, Chern-Simons Theories and M2 Branes (2008, result): “In the 3+1 dimensional case, we can explicitly compare the results of a-maximization [37, 38] with the spectrum of dimensions computed from volumes of cycles in H and gain confidence in our identification of the quiver gauge theory as the dual of AdS4×H [39, 40, 41, 42, 43].”
R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization (2005, methodology): “ar X iv :h ep -t agostino.butti@mib.infn.it alberto.zaffaroni@mib.infn.it”
Fractional branes and dynamical supersymmetry breaking (2005, background): “7.1 Brane tiling perspective of fractional branes 30 7.2 Beta function relations and baryonic U(1) symmetries from brane tilings 35”
Dynamical SUSY breaking at meta-stable minima from D-branes at obstructed geometries (2006, background): “The resulting quiver gauge theories lead, in the absence of fractional branes, to a tractable class of 4d strongly coupled conformal field theories, which extend the AdS/CFT correspondence [1 – 3] to theories with reduced (super)symmetry [4 – 6] and enable non-trivial precision tests of the correspo”
Brane tilings and their applications (2008, background): “The corresponding bipartite graph can be found in [192].”
Supersymmetric AdS5 solutions of type IIB supergravity (2005, background): “field theories have now been identified [12, 13, 14 ] and there have been many further checks and developments.”
Gauge theories from toric geometry and brane tilings (2005, methodology): “For example, remarkable agreement was found for these two computations in the case of the Y p,q singularities [45, 13].”