The Dual superconformal theory for L**pqr manifolds

By Agostino Butti, D. Forcella, Alberto Zaffaroni. 2005

172 citations recorded by the source corpus.

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 Lp,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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/449b845b340be69b30ea9486baf1ce8eb4bb4ea9

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Citations in the corpus

Tilings, Chern-Simons Theories and M2 Branes (2008, methodology): “Less ambitiously, it would be interesting to understand if and how we can parametrize R-charges using the toric data of the Calabi-Yau singularity, as it happens in 3+1 dimensions [41, 42, 43, 47].”
R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization (2005, background): “Recall that p + q = r + s. As explained in [ 8 ], we can always choose p ≤ r ≤ s ≤ q without any loss of generality.”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “of families of gauge theories that are dual to the wider class of toric Sasaki–Einstein manifolds La,b,c [28,32] (see also [33]).”
From Sasaki-Einstein spaces to quivers via BPS geodesics: Lp,q|r (2005, background): “1 This problem is addressed from the dimer perspective of [28, 30] also in [37][ 38 ] and [39]”
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 [68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78].”
Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “They created an avalanche of papers studying the properties of these metrics from the physics perspective [ABCC06, OY06c, OY06b, OY06a, KSY05, HEK05, BZ05, BBC05, BFZ05, SZ05, HKW05, BLMPZ05, BHK05 , BFH + 05, Pal05, HSY04].”
Counting BPS operators in gauge theories: quivers, syzygies and plethystics (2006, background): “It is recently realised that the toric theories are, in fact, best described using a bi-partite periodic tiling of the two dimensional plane, a so-called “dimer model” [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28] (also cf.”
Supersymmetry on curved spaces and holography (2012, background): “When these theories can be described as a set of (1, pi) and D3 branes on a circle, they are the extension of the four dimensional L gauge theories [151, 178, 179].”