Classification of Argyres-Douglas theories from M5 branes

100

126

We apply the numerical bootstrap program to chiral operators in fourdimensional N = 2 SCFTs. In the first part of this work we study four-point functions in which all fields have the same conformal dimension. We give special emphasis to bootstrapping a specific theory: the simplest Argyres-Douglas fixed point with no flavor symmetry. In the second part we generalize our setup and consider correlators of fields with unequal dimension. This is an example of a mixed correlator and allows us to probe new regions in the parameter space of N = 2 SCFTs. In particular, our results put constraints on relations in the Coulomb branch chiral ring and on the curvature of the Zamolodchikov metric.

Section: Chiral Fieldsmentioning

confidence: 99%

Bootstrapping N = 2 $$ \mathcal{N}=2 $$ chiral correlators

Lemos

Liendo

2016

100

126

“…Such 4d theories are said to be in class S. One can construct generalized Argyres-Douglas theories by choosing the Riemann surface as a sphere with one irregular puncture [6,9,11]. On top of this, it is possible to add one regular puncture.…”

Section: Jhep10(2017)211mentioning

confidence: 99%

“…In this paper, we extend the construction of [12][13][14] for the (A 1 , A n ) = (I 2,n+1 ) and (A 1 , D n ) = (I 2,n−2 , S) to more generalized AD theories that are called (A k−1 , A mk−1 ) = (I k,mk ) and (I m,mk , S) theories (or A mk mk−1 [m] and A mk mk [m] in the notation of [9,37]). We…”

Section: Jhep10(2017)211mentioning

confidence: 99%

“…in the notation of [9,37]. We consider the principal nilpotent deformation of the flavor node on the right-hand side end.…”

Section: Jhep10(2017)211mentioning

confidence: 99%

“…At this special loci, we have massless mutually non-local electromagnetically charged particles which are described by an interacting conformal field theory. There has been many generalizations of the original construction [3][4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

N $$ \mathcal{N} $$ =1 Lagrangians for generalized Argyres-Douglas theories

Agarwal

Sciarappa

Song

2017

136

Argyres-Douglas theories, chiral algebras and wild Hitchin characters

Fredrickson

Pei

Yan

et al. 2018

We use Coulomb branch indices of Argyres-Douglas theories on S 1 × L(k, 1) to quantize moduli spaces M H of wild/irregular Hitchin systems. In particular, we obtain formulae for the "wild Hitchin characters" -the graded dimensions of the Hilbert spaces from quantization -for four infinite families of M H , giving access to many interesting geometric and topological data of these moduli spaces. We observe that the wild Hitchin characters can always be written as a sum over fixed points in M H under the U(1) Hitchin action, and a limit of them can be identified with matrix elements of the modular transform ST k S in certain two-dimensional chiral algebras. Although naturally fitting into the geometric Langlands program, the appearance of chiral algebras, which was known previously to be associated with Schur operators but not Coulomb branch operators, is somewhat surprising.