String Tensions and Three Dimensional Confining Gauge Theories

Abstract

In the context of gauge/gravity duality, we try to understand better the proposed duality between the fractional D2-brane supergravity solutions of (Nucl. Phys. B 606 (2001) 18, hep-th/0101096) and a confining 2+1 dimensional gauge theory. Based on the similarities between this fractional D2-brane solution and D3-brane supergravity solutions with more firmly established gauge theory duals, we conjecture that a confining q-string in the 2+1 dimensional gauge theory is dual to a wrapped D4-brane. In particular, the D4-brane looks like a string in the gauge theory directions but wraps a S**3 in S**4 in the transverse geometry. For one of the supergravity solutions, we find a near quadratic scaling law for the tension: $T\sim q(N-q)$. Based on the tension, we conjecture that the gauge theory dual is SU(N) far in the infrared. We also conjecture that a quadratic or near quadratic scaling is a generic feature of confining 2+1 dimensional SU(N) gauge theories.

23 pages, 2 figures

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• Energy Loss of Gluons, Baryons and k-Quarks in an N=4 SYM Plasma
• On the Universality Class of Certain String Theory Hadrons
• Tensions and Luscher Terms for (2+1)-dimensional k-strings from Holographic Models
• Metastability in Bubbling AdS Space
• A Detailed Investigation of First and Second Order Supersymmetries for Off-Shell N = 2 and N = 4 Supermultiplets
• Monopoles and confinement in three dimensions from holography
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