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String Tensions and Three Dimensional Confining Gauge Theories
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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.
Forward citations
Cited by 2 Pith papers
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Warped G$_2$-throats in IIA and uplift dSillusions
Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.
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Warped G2 throats from deformed conifolds in IIA supergravity
New non-singular IIA solutions with internal space (deformed conifold × S1)/Z2 provide warped G2 throats with finite 4-cycle or 3-cycle at the tip.
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