Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition
arXiv:hep-th/0205301 · doi:10.1088/1126-6708/2003/02/028
Abstract
We examine a large N duality via geometric transition for N=1 SO/Sp gauge theories with superpotential for adjoint chiral superfield. In this paper, we find that the large N gauge theories are exactly analyzed for the classical quartic superpotentials by the finite rank SO/Sp gauge theories. With this classical superpotentials, we evaluate the confining phase superpotentials using the Seiberg-Witten theory. In the dual theory, we calculate the superpotential generated by the R-R and NS-NS 3-form fluxes. As the non-trivial examples, we discuss for SO(6), SO(8) and Sp(4) gauge theories. In these cases we have the perfect agreement of the confining phase superpotentials up to the 4th order of the glueball superfields.
23 pages, 2 figures, Latex; v3, references added; v4, Explanation for orbifolding was slightly modified
References in corpus (18)
- A Large N Duality via a Geometric Transition
- Disk Instantons, Mirror Symmetry and the Duality Web
- Worldsheet Derivation of a Large N Duality
- A Geometric Unification of Dualities
- Geometric Transitions and N=1 Quiver Theories
- Geometric Transition, Large N Dualities and MQCD Dynamics
- Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories
- Orientifolds, Mirror Symmetry and Superpotentials
- SO and Sp Chern-Simons at Large N
- Geometric Transition versus Cascading Solution
- Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
- On the Quantum Moduli Space of M Theory Compactifications
- Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
- On SUSY Breaking And \chiSB From String Duals
- Duality and Confinement in N=1 Supersymmetric Theories from Geometric Transitions
- Duality cascades and duality walls
- Comments on orientifold projection in the conifold and SO x USp duality cascade
- Comments on M Theory Dynamics on G2 Holonomy Manifolds
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- (Anti)symmetric matter and superpotentials from IIB orientifolds
- On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
- Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
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- N=1 Gauge Theory with Flavor from Fluxes
- Note on Matrix Model with Massless Flavors
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- Phases of N=1 USp(2N_c) Gauge Theories with Flavors
- Matrix Model Description of Baryonic Deformations
- Phases of N=1 SO(N_c) Gauge Theories with Flavors
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- On Effective Superpotentials and Compactification to Three Dimensions
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