Confinement and screening via holographic Wilson loops

Abstract

Abstract We present the holographic dual to a family of N $$ \mathcal{N} $$ = 1 SCFTs in four dimensions, deformed by a VEV leading to a gapped system. We calculate Wilson loops in this system containing adjoint, bifundamental, and fundamental matter. We calculate the quark-antiquark energy E in terms of their separation L, finding an approximate analytic expression for E(L). This expression shows the transition between conformal, confining, and screened behaviors. Interesting phenomenology is discussed in a variety of examples. The tool used is the minimization of the F1 string action, for which the code used is made publicly available.

Keywords

• AdS-CFT Correspondence
• Gauge-Gravity Correspondence