Holographic duals of long open strings

Abstract

We study the holographic map between long open strings, which stretch between D-branes separated in the bulk space-time, and operators in the dual boundary theory. We focus on a generalization of the Sakai-Sugimoto holographic model of QCD, where the simplest chiral condensate involves an operator of this type. Its expectation value is dominated by a semi-classical string worldsheet, as for Wilson loops. We also discuss the deformation of the model by this operator, and in particular its effect on the meson spectrum. This deformation can be thought of as a generalization of a quark mass term to strong coupling. It leads to the first top-down holographic model of QCD with a non-Abelian chiral symmetry which is both spontaneously and explicitly broken, as in QCD. Other examples we study include half-supersymmetric open Wilson lines, and systems of D-branes ending on N S5-branes, which can be analyzed using worldsheet methods.

Sakai-Sugimoto brane system at high density

“…This subject is being actively studied (for example, see Refs. [23,24,25,29,30]) and the resulting phase diagram is yet to be seen.…”

Holographic estimate of electromagnetic mass

“…In this paper we study the vacuum alignment due to the electromagnetic interaction and calculate the electromagnetic corrections to the pion mass in holographic QCD. The vacuum alignment in holographic QCD due to the current quark mass has been studied previously [16][17][18].…”

Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions II — The deconfined phase

“…The notion that a scalar bifundamental in a brane-antibrane system should be the holographic dual of QCD-like chiral symmetry breaking is rather simple and robust, see for instance [31,[75][76][77][78].…”