Conifolds with Discrete Torsion and Noncommutativity

Abstract

We study D3 branes at orbifolded conifold singularities in the presence of discrete torsion. The vacuum moduli space of open strings becomes non-commutative due to a deformation of the superpotential and is studied via the representation theory of the moduli algebra. It is also shown that the center of the moduli algebra correctly describes the underlying orbifolded conifolds. The field theory can be obtained by a marginal deformation of the $\mathcal{N}=1$ gauge theory on D3 branes at conifold singularity, the global symmetry being broken from $SU(2)\times SU(2)$ to $U(1)\times U(1)$. By using the AdS/CFT correspondence we argue that the marginal deformation is related to massless KK modes of NSNS and RR two form reduced on the compact space $T^{1,1}$. We build a $T^2$ fibration of $T^{1,1}$ and show that a D3 brane in the bulk correspond to a D5 brane on the $T^2$ fibre. We also discuss the possible brane construction of the system.

Latex, 24 pages, v2: small changes

References in corpus (7)

• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• The String Dual of a Confining Four-Dimensional Gauge Theory
• General matter coupled N=2, D=5 gauged supergravity
• Marginal and Relevant Deformations of N=4 Field Theories and Non-Commutative Moduli Spaces of Vacua
• On Orientifolds, Discrete Torsion, Branes and M Theory
• Discrete Torsion, AdS/CFT and duality
• Renormalization Group Flows on D3 branes at an Orbifolded Conifold

Cited by in corpus (18)

• Geometric Transition, Large N Dualities and MQCD Dynamics
• Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories
• Conformal Manifolds for the Conifold and other Toric Field Theories
• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
• Discrete Torsion, Non-Abelian Orbifolds and the Schur Multiplier
• Deconstructing Noncommutativity with a Giant Fuzzy Moose
• Discrete Torsion, Covering Groups and Quiver Diagrams
• D-branes on Singularities: New Quivers from Old
• Orbifolds, Penrose Limits and Supersymmetry Enhancement
• Master Space and Hilbert Series for N=1 Field Theories
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Topological B-model and $\hat{c}=1$ String Theory
• Orientifold in Conifold and Quantum Deformation
• Discrete Torsion and Branes in M-theory from Mathematical Viewpoint
• Open-Closed String Duality from Orbifolded Conifolds
• T-duality and Actions for Non-Commutative D-Branes
• Aspects of ABJM orbifolds with discrete torsion