Large N gauge theories with a dense spectrum and the weak gravity conjecture

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We classify the large N limits of four-dimensional supersymmetric gauge theories with simple gauge groups that flow to superconformal fixed points. We restrict ourselves to the ones without a superpotential and with a fixed flavor symmetry. We find 35 classes in total, with 8 having a dense spectrum of chiral gauge-invariant operators. The central charges a and c for the dense theories grow linearly in N in contrast to the N2 growth for the theories with a sparse spectrum. The difference between the central charges a − c can have both signs, and it does not vanish in the large N limit for the dense theories. We find that there can be multiple bands separated by a gap, or a discrete spectrum above the band. We also find a criterion on the matter content for the fixed point theory to possess either a dense or sparse spectrum. We discover a few curious aspects regarding supersymmetric RG flows and a-maximization along the way. For all the theories with the dense spectrum, the AdS version of the Weak Gravity Conjecture (including the convex hull condition for the cases with multiple U(1)’s) holds for large enough N even though they do not have weakly-coupled gravity duals.

Section: Jhep10(2021)049mentioning

confidence: 82%

“…N f = 1 theory. The N f = 1 case was already studied in [7]. We repeat the same analysis here with a slightly refined analysis of the Weak Gravity Conjecture.…”

Section: Jhep10(2021)049mentioning

confidence: 85%

Section: Jhep10(2021)049mentioning

confidence: 99%

Section: Renormalization Group Flow and The Ordering Of Decouplingmentioning

confidence: 99%

Section: Jhep10(2021)049mentioning

confidence: 99%

See 3 more Smart Citations

Classification of large N superconformal gauge theories with a dense spectrum

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Song

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Repulsive black holes and higher-derivatives

Cremonini

Jones

Liu

et al. 2022

In two-derivative theories of gravity coupled to matter, charged black holes are self-attractive at large distances, with the force vanishing at zero temperature. However, in the presence of massless scalar fields and four-derivative corrections, zero-temperature black holes no longer need to obey the no-force condition. In this paper, we show how to calculate the long-range force between such black holes. We develop an efficient method for computing the higher-derivative corrections to the scalar charges when the theory has a shift symmetry, and compute the resulting force in a variety of examples. We find that higher-derivative corrected black holes may be self-attractive or self-repulsive, depending on the value of the Wilson coefficients and the VEVs of scalar moduli. Indeed, we find black hole solutions which are both superextremal and self-attractive. Furthermore, we present examples where no choice of higher-derivative coefficients allows for self-repulsive black hole states in all directions in charge space. This suggests that, unlike the Weak Gravity Conjecture, which may be satisfied by the black hole spectrum alone, the Repulsive Force Conjecture requires additional constraints on the spectrum of charged particles.

A study of $$ \mathcal{N} $$ = 1 SCFT derived from $$ \mathcal{N} $$ = 2 SCFT: index and chiral ring

Xie

Yan

2023

One can derive a large class of new $$ \mathcal{N} $$ N = 1 SCFTs by turning on $$ \mathcal{N} $$ N = 1 preserving deformations for $$ \mathcal{N} $$ N = 2 Argyres-Dougals theories. In this work, we use $$ \mathcal{N} $$ N = 2 superconformal indices to get indices of $$ \mathcal{N} $$ N = 1 SCFTs, then use these indices to derive chiral rings of $$ \mathcal{N} $$ N = 1 SCFTs. For a large class of $$ \mathcal{N} $$ N = 2 theories, we find that the IR theory contains only free chirals if we deform the parent $$ \mathcal{N} $$ N = 2 theory using the Coulomb branch operator with smallest scaling dimension. Our results provide interesting lessons on studies of $$ \mathcal{N} $$ N = 1 theories, such as a-maximization, accidental symmetries, chiral ring, etc.