Type-B anomaly matching and the 6D (2,0) theory

Type-B anomaly matching and the 6D (2,0) theory

Blog Article

Abstract We study type-B conformal anomalies associated with 1 2 $$ rac{1}{2} $$ -BPS Coulomb-branch operators in 4D N $$ mathcal{N} $$ = 2 superconformal field theories.When the vacuum preserves the conformal symmetry these anomalies coincide with the two-point function coefficients in the Coulomb-branch chiral argan oil pure purple ring.They are non-trivial functions of exactly-marginal couplings that can be determined from the S 4 partition function.In this paper, we examine the fate of these anomalies in vacua of the Higgs-branch moduli space, where conformal symmetry is spontaneously broken.We argue non-perturbatively that these anomalies are covariantly constant on conformal manifolds.

In some cases, this can be used to show that they match in the broken and unbroken phases.Thus, we uncover a new class of data on the Higgs branch of 4D N $$ mathcal{N} $$ = 2 conformal field theories that are exactly computable.An interesting application of this matching occurs in N $$ mathcal{N} $$ = 2 circular quivers that deconstruct the 6D (2,0) theory on a torus.In that context, we argue that 4D supersymmetric localisation can be used to calculate non-trivial data involving 1 2 $$ rac{1}{2} $$ -BPS operators of orange zinger tomato the 6D theory as exact functions of the complex structure of the torus.