A landscape of 4d N=1 SCFTs with a=c

Abstract

We study a landscape of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with identical central charges. These theories are obtained by renormalization group flows triggered by supersymmetry-preserving superpotential deformations of the $\mathcal{N}=1$ gauging of the flavor symmetry of a collection of $\mathcal{N}=2$ ${\mathcal{D}}_p(G)$ Argyres--Douglas SCFTs. In this work, we focus on the fixed points in the landscape of the $SU(3)$ gauging of three copies of the ${\mathcal{D}}_2(SU(3))=H_2$ theory together with an adjoint-valued chiral multiplet. We catalogue the network of $a=c$ fixed points, and, along the way, we find a variety of dualities and instances of supersymmetry enhancement.

arXiv comment54 pages + references, 3 figures, and 3 tables

References in corpus (49)

• Generalized Global Symmetries
• N=2 dualities
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• The Exact Superconformal R-Symmetry Maximizes a
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Theta, Time Reversal, and Temperature
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• General Argyres-Douglas Theory
• Schur Indices, BPS Particles, and Argyres-Douglas Theories
• Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
• N=1 Deformations and RG Flows of N=2 SCFTs
• Central Charges and $U(1{)}_R$ Symmetries in $\mathcal{N}=1$ Super Yang-Mills
• On the Superconformal Index of Argyres-Douglas Theories
• Evidence for the Strongest Version of the 4d a-Theorem, via a-Maximization Along RG Flows
• Generalized Global Symmetries of $T[M]$ Theories. I
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• More on the N=2 superconformal systems of type $D_p(G)$
• Classification of Argyres-Douglas theories from M5 branes
• The superconformal index of N=1 class S fixed points
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• New N=1 Dualities
• All Complete Intersection Calabi-Yau Four-Folds
• RG Fixed Points and Flows in SQCD with Adjoints
• Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
• Quiver Tails and N=1 SCFTs from M5-branes
• Argyres-Douglas Theories, the Macdonald Index, and an RG Inequality
• On Irregular Singularity Wave Functions and Superconformal Indices
• Macdonald Index and Chiral Algebra
• 27/32
• Studying superconformal symmetry enhancement through indices
• Comments on Non-invertible Symmetries in Argyres-Douglas Theories
• The exact Schur index in closed form
• Landscape of Simple Superconformal Field Theories in 4d
• $\mathcal{N}=2^{\ast }$ Schur indices
• Infinitely many 4d $\mathcal{N}=2$ SCFTs with $a=c$ and beyond
• Schur sector of Argyres-Douglas theory and $W$-algebra
• A search for minimal 4d N=1 SCFT
• Argyres-Douglas Theories in Class S Without Irregularity
• Vanishing OPE Coefficients in 4d N=2 SCFTs
• Higgs, Coulomb, and Hall-Littlewood
• A Small Deformation of a Simple Theory
• Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills
• Infinitely many 4d N=1 SCFTs with a=c
• Closed form fermionic expressions for the Macdonald index
• Testing Macdonald Index as a Refined Character of Chiral Algebra
• On the Nekrasov Partition Function of Gauged Argyres-Douglas Theories
• Emergent N=4 supersymmetry from N=1

Cited by in corpus (1)

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