Defect correlators in a $$ \mathcal{N} $$ = 2 SCFT at strong coupling

Abstract

We study the correlation function between one single-trace scalar operator and a circular Wilson loop in the 4d$$ \mathcal{N} $$ N = 2 superconformal field theory with gauge group SU(N) and matter transforming in the symmetric and anti-symmetric representations. By exploiting supersymmetric localization, we resum the perturbative expansion of this correlator in the large-N ’t Hooft limit. Furthermore, using both analytical and numerical techniques, we provide a prediction for the leading term of its strong coupling expansion and we compare this prediction to numerical Padé resummations of the perturbative series.

Wilson loop correlators at strong coupling in $$ \mathcal{N} $$ = 2 quiver gauge theories

“…In order to determine the strong coupling limit of (4.10), we follow the same procedure applied in [17]. As a first step, we divide the sums over k and ℓ considering separately the odd and even contributions.…”

“…Here we provide some numerical checks for the Z 2 quiver gauge theory. We follow the same procedure described in section 4 of [17]. As a first step, using the perturbative expansion of the elements of the X-matrix (3.24), we have generated very long series for the coefficients D…”

“…However, more recently, mainly by exploiting supersymmetric localization techniques [1] also the strong coupling regime of some N = 2 gauge theories in the large-N limit has been investigated. In the context of theories with eight supercharges many BPS observables have been analysed using localization techniques both at weak and strong coupling, such as correlation functions between chiral/anti-chiral scalar operators [2][3][4][5][6][7][8][9][10][11][12], correlators between a chiral operator and a Wilson loop [13][14][15][16][17], the vacuum expectation value of BPS Wilson loops [18][19][20] and the free energy [21][22][23][24].…”

“…For example from the M = 2 quiver one obtains the so-called E-theory, which has SU(N ) gauge group and matter in the symmetric and anti-symmetric representations, that establishes another very fruitful playground where to find exact results and explore the strong coupling regime of gauge theories (see e.g. [7,9,10,17]).…”