Chiral Primaries in Strange Metals

Abstract

It was suggested recently that the study of 1-dimensional QCD with fermions in the adjoint representation could lead to an interesting toy model for strange metals and their holographic formulation. In the high density regime, the infrared physics of this theory is described by a constrained free fermion theory with an emergent {\cal N}=(2,2) superconformal symmetry. In order to narrow the choice of potential holographic duals, we initiate a systematic search for chiral primaries in this model. We argue that the bosonic part of the superconformal algebra can be extended to a coset chiral algebra of the form {\cal W}_N =\SO(2N^2-2)_1/\SU(N)_{2N}. In terms of this algebra the spectrum of the low energy theory decomposes into a finite number of sectors which are parametrized by special necklaces. We compute the corresponding characters and partition functions and determine the set of chiral primaries for N \leq 5.

arXiv comment42 pages, 5 figures

References in corpus (12)

• An AdS_3 Dual for Minimal Model CFTs
• Large N=4 Holography
• Partition Functions of Holographic Minimal Models
• Higher spin AdS_3 supergravity and its dual CFT
• Universality in Two Dimensional Gauge Theory.
• The resolution of field identification fixed points in diagonal coset theories
• The Classification of Affine SU(3) Modular Invariant Partition Functions
• Supersymmetric holography on AdS3
• The symmetry of large N=4 holography
• Strange Metals in One Spatial Dimension
• Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
• N=2 Coset Compactifications with Non-Diagonal Invariants

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• Chiral 2D "Strange Metals" from N = 4 SYM
• One-form symmetries and the 3d $\mathcal{N}=2$ $A$-model: Topologically twisted indices and CS theories
• Chiral Ring of Strange Metals: The Multicolor Limit