Non-commutative gauge theory on D-branes in Melvin Universes

Abstract

Non-commutative gauge theory with a non-constant non-commutativity parameter can be formulated as a decoupling limit of open strings ending on D3-branes wrapping a Melvin universe. We construct the action explicitly and discuss various physical features of this theory. The decoupled field theory is not supersymmetric. Nonetheless, the Coulomb branch appears to remain flat at least in the large N and large 't Hooft coupling limit. We also find the analogue of Prasad-Sommerfield monopoles whose size scales with the non-commutativity parameter and is therefore position dependent.

15 pages, 1 figure, reference added

References in corpus (2)

• Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
• Position-dependent noncommutative products: classical construction and field theory

Cited by in corpus (15)

• Symmetry, Gravity and Noncommutativity
• The Omega Deformation From String and M-Theory
• The deformation quantizations of the hyperbolic plane
• Effective descriptions of branes on non-geometric tori
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Aspects of Puff Field Theory
• Holography and D3-branes in Melvin Universes
• Butterfly Effect and Holographic Mutual Information under External Field and Spatial Noncommutativity
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• Microscopic Formulation of Puff Field Theory
• Non-commutativity and Open Strings Dynamics in Melvin Universes
• D3 branes in a Melvin universe: a new realm for gravitational holography
• Q-balls of Quasi-particles in a (2,0)-theory model of the Fractional Quantum Hall Effect
• A New Lorentz Violating Nonlocal Field Theory From String-Theory
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory