Aspects of Open-Closed Duality in a Background B-Field II

Abstract

It was shown in [hep-th/0503009], in the context of bosonic theory that the IR singular terms that arise as a result of integrating out high momentum modes in nonplanar diagrams of noncommutative gauge theory can be recovered from low lying tree-level closed string exchanges. This follows as a natural consequence of world-sheet open-closed string duality. Here using the same setup we study the phenomenon for noncommutative $\mathcal{N}=2$ gauge theory realised on a $D_3$ fractional brane localised at the fixed point of $C^2/Z_2$. The IR singularities from the massless closed string exchanges are exactly equal to those coming from one-loop gauge theory. This is as a result of cancellation of all contributions from the massive modes.

27 pages, 1 figure, references added, typos corrected

References in corpus (4)

• Spin and Statistics on the Groenewold-Moyal Plane: Pauli-Forbidden Levels and Transitions
• On the Gauge/Gravity Correspondence and the Open/Closed String Duality
• Brane-Inspired Orientifold Field Theories
• Aspects of Open-Closed Duality in a Background B-Field

Cited by in corpus (7)

• Emergent Gravity, Matrix Models and UV/IR Mixing
• Fermions and Emergent Noncommutative Gravity
• Schwinger Effect and Negative Differential Conductivity in Holographic Models
• Aspects of Open-Closed Duality in a Background B-Field
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Closed string exchanges on $C^2/Z_2$ in a background B-field
• Fermions Coupled to Emergent Noncommutative Gravity