A holographic computation of the central charges of d = 4, Script N = 2 SCFTs

By O. Aharony, Yuji Tachikawa. 2007

137 citations recorded by the source corpus.

We use the AdS/CFT correspondence to compute the central charges of the d = 4, = 2 superconformal field theories arising from N D3-branes at singularities in F-theory. These include the conformal theories with En global symmetries. We compute the central charges a and c related to the conformal anomaly, and also the central charges k associated to the global symmetry in these theories. All of these are related to the coefficients of Chern-Simons terms in the dual string theory on AdS5. Our computation is exact for all values of N, enabling several tests of the dualities recently proposed by Argyres and Seiberg for the E6 and E7 theories with N = 1.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2c53514e50a93258f9c7f733ee06f9ae5dda732f

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Citations in the corpus

Central charges of 𝒩 = 2 superconformal field theories in four dimensions (2008, methodology): “This result agrees with the holographic calculation of [ 14 ].”
Infinite Chiral Symmetry in Four Dimensions (2013, background): “these theories as a direct consequence of the Higgs branch relations. These predictions are listed in Table 4. Indeed, these anomaly coecients have been computed by other means and the results agree [48]. On the other hand, an N= 2 superconformal theory with GF symmetry can have as its Higgs branch ”
Wild quiver gauge theories (2011, methodology): “ However, even for n = 1,2 the curve exists, although this does not describe a nontrivial theory. We will see these explicitly below. The ﬂavor central charges of these theories have been computed in [19, 18] as k = 4(n− 1) n . (2.9) We will use this later. 2.2 Aˆ m,n theories Now, we consider Aˆ m,”
On the superconformal index of Argyres–Douglas theories (2015, background): “The flavor central charge for the SU(2) subgroup is kSU(2) = 4n−2 n [26].”
N=1 Deformations and RG Flows of N=2 SCFTs (2016, background): “In this paper, we considered the N = 1 deformation of N = 2 SCFTs.”
Schur indices, BPS particles, and Argyres-Douglas theories (2015, methodology): “he D2n+2 Argyres-Douglas theory has an SU(2) U(1) avor symmetry for n>1 and SU(3) avor symmetry for n= 1. The 4dcentral charge and the avor central charge are c4d = n 2 + 1 6 and k4d = 2(2 +1) n+1 [25,27,38,39]. Using the 4d/2drelations c2d = 12c4d and 29 1 2 3 2n 2n+1 2n+2 / o / / _ Figure 8: T”
Top down approach to 6D SCFTs (2018, background): “This is a theory with no known Lagrangian description, though many properties of this theory such as its Seiberg-Witten curve, its Gaiotto curve [9], and its anomalies [181, 182] are known.”
The superconformal index of the E6 SCFT (2010, unknown): “(2)For earlier checks of Argyres-Seiberg duality see [12] and [13].”
General Argyres-Douglas theory (2012, methodology): “ N A 2 theory, the mirror Coulomb branch dimension is 3N−1, we have 2a−c= 1 8 (N+3N2), a−c= − 3N−1 24 . (7.6) and a= 1 24 (−1 +6N+9N2), c= 1 24 (−2 +9N+9N2). (7.7) These results are in agreement with [21]. Some of the SCFTs found using singularity theory in [49, 50] can also be engineered using the ”
The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, methodology): “2 2 3 7 6 13 6 19 6 31 6 a 43 120 11 24 7 12 23 24 41 24 59 24 95 24 r 0 6 5 4 3 3 2 2 3 4 6 Table 1. Properties of rank one SCFTs associated to maximal mass deformations of the Kodaira singularities [16,105,106]. We list the name of the singularity, the avor symmetry algebra h and its dual Coxeter ”