Branes at Generalized Conifolds and Toric Geometry

Abstract

We use toric geometry to investigate the recently proposed relation between a set of D3 branes at a generalized conifold singularity and type IIA configurations of D4 branes stretched between a number of relatively rotated NS5 branes. In particular we investigate how various resolutions of the singularity corresponds to moving the NS branes and how Seiberg's duality is realized when two relatively rotated NS-branes are interchanged.

19 pages, 8 figures; v2: references added, clarifying footnote on Seiberg's duality added

References in corpus (4)

• Brane Constructions, Conifolds and M-Theory
• Generalized Conifolds and 4d N=1 SCFT
• Three Dimensional SCFT from M2 Branes at Conifold Singularities
• A Family of N=1 SU(N)^k Theories from Branes at Singularities

Cited by in corpus (26)

• Large N Field Theories, String Theory and Gravity
• Gauge Theories from Toric Geometry and Brane Tilings
• D-Brane Gauge Theories from Toric Singularities and Toric Duality
• Toric Duality as Seiberg Duality and Brane Diamonds
• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Nonassociative Gravity in String Theory?
• Geometric Transition, Large N Dualities and MQCD Dynamics
• Deformation of Conifold and Intersecting Branes
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories
• Orientifolding the conifold
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
• Renormalization Group Flows on D3 branes at an Orbifolded Conifold
• Branes at Orbifolded Conifold Singularities and Supersymmetric Gauge Field Theories
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Mass-deformed Brane Tilings
• N=2 SCFT and M Theory on AdS_4 x Q^{1,1,1}
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Diffractive production of high pt photons at HERA
• N=1 Theories, T-duality, and AdS/CFT correspondence
• Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions
• Coulomb-gas formulation of SU(2) branes and chiral blocks
• BPS state counting on singular varieties
• Non-Linear Sigma Model on Conifolds