Chiral primaries in strange metals

Isachenkov, Mikhail; Kirsch, Ingo; Schomerus, Volker

doi:10.1016/j.nuclphysb.2014.06.004

Cited by 16 publications

(24 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In both cases, we found new chiral primary operators that we dubbed exceptional. The total number of such exceptional chiral primaries can be shown to grow very rapidly with N. 1 On the other hand, the examples we reported on satisfy the BPS condition h = Q only for one special value of N. Therefore it is not evident that exceptional chiral primaries contribute to the chiral ring of the multicolor limit. This is the question we are about to address with the present paper.…”

Section: Introductionmentioning

confidence: 76%

“…The role of this section is to review the definition of the model and the construction of its state space. We shall also recall a few central results on chiral primaries, including the construction of regular chiral primaries, that have been discussed in [10] and then extended in [1].…”

Section: Review Of Background Materialsmentioning

confidence: 99%

“…A very useful way to parametrize elements of J 0 N , i.e. SU(N) 2N weights a with vanishing monodromy charge, through a pair of Young diagrams Y and Y was described in [1]. Following that approach, we introduce two SU(N) Young diagrams Y and Y with equal number n = |Y | = |Y | of boxes, subject to the additional conditions…”

Section: The State Spacementioning

confidence: 99%

“…The latter can be counted quite easily. As described in [1], they are labeled by partitions or Young diagrams. Moreover, their operator product expansions may be argued to agree with the product of Schur polynomials.…”

Section: Introductionmentioning

confidence: 99%

“…The plan of this short note is as follows. In the next section we shall introduce the model and review some of the key results from [1]. Section 3 contains the main new results of this paper.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Chiral ring of strange metals: The multicolor limit

2015

Self Cite

View full text Add to dashboard Cite

The low energy limit of a dense 2D adjoint QCD is described by a family of N = (2, 2) supersymmetric coset conformal field theories. In previous work we constructed chiral primaries for a small number N < 6 of colors. Our aim in the present note is to determine the chiral ring in the multicolor limit where N is sent to infinity. We shall find that chiral primaries are labeled by partitions and identify the ring they generate as the ring of Schur polynomials. Our findings impose strong constraints on the possible dual description through string theory in an AdS 3 compactification. †

show abstract

Section: Introductionmentioning

confidence: 76%

Section: Review Of Background Materialsmentioning

confidence: 99%

Section: The State Spacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Chiral ring of strange metals: The multicolor limit

2015

Self Cite

View full text Add to dashboard Cite

show abstract

Chiral 2D “strange metals” from N = 4 $$ \mathcal{N}=4 $$ SYM

Berkooz

Narayan

Zait

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Familiar field theories may contain closed subsectors made out of only fermions, which can be used to explore new and unusual phases of matter in lower dimensions. We focus on the fermionic su(1, 1) sector in N = 4 SYM and on its ground states, which are Fermi surface states/operators. By computing their spectrum to order (g 2 YM N ) 2 , we argue that fluctuations around this Fermi surface, within the sector and in the limit k F → ∞, are governed by a chiral 1+1 dimensional sector of the "strange metal" coset SU(N ) N ⊗ SU(N ) N /SU(N ) 2N . On the gravity side, the conjectured dual configuration is an S = 0 degeneration of a rotating black hole. On general grounds we expect that the near horizon excitations of (S = 0, Ω = 1, J → ∞) degenerations of black holes will be governed by a chiral sector of a 1+1 CFT.

show abstract

Infrared phases of 2d QCD

Delmastro

Gomis

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We derive the necessary and sufficient conditions for a 2d QCD theory of massless gluons and left and right chiral quarks in arbitrary representations of a gauge group G to develop a mass gap. These results are obtained from spectral properties of the lightcone and temporal QCD Hamiltonians. The conditions can be explicitly solved, and we provide the complete list of all 2d QCD theories that have a quantum mechanical gap in the spectrum, while any other theory not in the list is gapless. The list of gapped theories includes QCD models with quarks in vector-like as well as chiral representations. The gapped theories consist of several infinite families of classical gauge groups with quarks in rank 1 and 2 representations, plus a finite number of isolated cases. We also put forward and analyze the effective infrared description of QCD — TQFTs for gapped theories and CFTs for gapless theories — and exhibit several interesting features in the infrared, such as the existence of non-trivial global ’t Hooft anomalies and emergent supersymmetry. We identify 2d QCD theories that flow in the infrared to celebrated CFTs such as minimal models, bosonic and supersymmetric, and Wess-Zumino-Witten and Kazama-Suzuki models.

show abstract

Chiral primaries in strange metals

Cited by 16 publications

References 31 publications

Chiral ring of strange metals: The multicolor limit

Chiral ring of strange metals: The multicolor limit

Chiral 2D “strange metals” from N = 4 $$ \mathcal{N}=4 $$ SYM

Infrared phases of 2d QCD

Contact Info

Product

Resources

About