Holographic k-string Tensions in Higher Representations and Luescher Term Universality

TL;DR

This paper uses holographic D-brane models to analyze k-string tensions in higher representations within confining theories, confirming the universality of the Luescher term and aligning with lattice and Hamiltonian results.

Contribution

It provides a holographic framework for calculating k-string tensions in higher representations and confirms the universal form of the Luescher term from holography.

Findings

Qualitative agreement of k-string tensions with lattice and Hamiltonian methods.

Confirmation of the universal Luescher term expression from holographic calculations.

Holographic derivation of the Luescher term in confining gauge theories.

Abstract

We investigate a holographic description of k-strings in higher representations via D5 branes with worldvolume fluxes. The D-brane configurations are embedded in supergravity backgrounds dual to confining field theories in 3 and 4 dimensions. We compute the tensions and find qualitative agreement for the totally symmetric and totally anti-symmetric representations with the results of other methods such as lattice as well as the Hamiltonian approach of Karabali and Nair. A one-loop computation on the D-brane configurations yields the Luescher term and allows us to confirm a previously proposed universal expression following from holography.