Gauge theories from wrapped and fractional branes

Details Gauge theories from wrapped and fractional branes Gauge theories from wrapped and fractional branes

2001-12-14

arxiv.org/abs/hep-th/0112126v2

Nucl.Phys. B631 (2002) 95-127

Physics

High Energy Physics

High Energy Physics - Theory

AMS-LaTeX, 35 pages, no figures. Minor typos corrected, version to appear in NPB

Scientific paper

10.1016/S0550-3213(02)00200-6

We compare two applications of the gauge/gravity correspondence to a non conformal gauge theory, based respectively on the study of D-branes wrapped on supersymmetric cycles and of fractional D-branes on orbifolds. We study two brane systems whose geometry is dual to N=4, D=2+1 super Yang-Mills theory, the first one describing D4-branes wrapped on a two-sphere inside a Calabi-Yau two-fold and the second one corresponding to a system of fractional D2/D6-branes on the orbifold R^4/Z_2. By probing both geometries we recover the exact perturbative running coupling constant and metric on the moduli space of the gauge theory. We also find a general expression for the running coupling constant of the gauge theory in terms of the "stringy volume" of the two-cycle which is involved in both types of brane systems.

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