Gauge theories from wrapped and fractional branes

Abstract

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.

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

References in corpus (17)

• Gauge/Gravity Duals with Holomorphic Dilaton
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• N=2 Gauge theories on systems of fractional D3/D7 branes
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• Remarks on the Warped Deformed Conifold
• D6 branes and M theory geometrical transitions from gauged supergravity
• Wrapped fivebranes and N=2 super Yang-Mills theory
• Membranes Wrapped on Holomorphic Curves
• The Enhancon and the Consistency of Excision
• N=2 Gauge Theories from Wrapped Five-branes
• D-Branes, Holonomy and M-Theory
• Classical geometry and gauge duals for fractional branes on ALE orbifolds
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• The Geometry of Fractional Branes
• N=2 Gauge Theories and Systems with Fractional Branes
• World Volume Action for Fractional Branes
• Field Theory Operator Encoding in N=2 Geometries

Cited by in corpus (27)

• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• Four Lectures On The Gauge/Gravity Correspondence
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• Various Wrapped Branes from Gauged Supergravities
• An eight-dimensional approach to G_2 manifolds
• String duals of two-dimensional (4,4) supersymmetric gauge theories
• Holographic flavor in N=4 gauge theories in 3d from wrapped branes
• The Gauge/String Correspondence Towards Realistic Gauge Theories
• Supergravity Dual of Noncommutative N=1 SYM
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• On the N=1 beta-function from the conifold
• Unquenched flavor in the gauge/gravity correspondence
• Branes with fluxes wrapped on spheres
• Wrapped branes with fluxes in 8d gauged supergravity
• Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation
• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models
• Fractional D3-branes in diverse backgrounds
• On the M-theory description of supersymmetric gluodynamics
• Holonomy from wrapped branes
• New Solution of D=11 Supergravity on S^7 from D=4
• Dynamics of $\mathcal{N}=4$ supersymmetric field theories in 2+1 dimensions and their gravity dual
• Commutative and noncommutative N=2 SYM in 2+1 from wrapped D6-branes
• Wrapped D4-branes from maximal 6D gauged supergravity
• The Geometry of Fractional D1-branes