On Supergravity Solutions of Branes in Melvin Universes

Abstract

We study supergravity solutions of type II branes wrapping a Melvin universe. These solutions provide the gravity description of non-commutative field theories with non-constant non-commutative parameter. Typically these theories are non-supersymmetric, though they exhibit some feature of their corresponding supersymmetric theories. An interesting feature of these non-commutative theories is that there is a critical length in the theory in which for distances larger than this length the effects of non-commutativity become important and for smaller distances these effects are negligible. Therefore we would expect to see this kind of non-commutativity in large distances which might be relevant in cosmology. We also study M5-brane wrapping on 11-dimensional Melvin universe and its descendant theories upon compactifying on a circle.

arXiv comment25 pages, latex file; v2: typos corrected, Refs. added

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Cited by in corpus (8)

• Symmetry, Gravity and Noncommutativity
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Melvin Universe in Born-Infeld gravity
• Holography and D3-branes in Melvin Universes
• On beta-deformations and Noncommutativity
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• On the Supergravity Description of Wilson Loop in Non-commutative Dipole Field Theory
• A New Lorentz Violating Nonlocal Field Theory From String-Theory