Holography and D3-branes in Melvin Universes

Abstract

Recently,in a paper hep-th/0511197, it was found that non-commutative super Yang-Mills (NCSYM) theory with space-dependent noncommutativity can be formulated as a decoupling limit of open strings ending on D3-branes wrapping a Melvin universe supported by a flux of the NSNS B-field. Under S-duality, we show that this theory turns into a noncommutative open string (NCOS) theory with space-dependent space-time noncommutativity and effective space-dependent string scale. It is an NCOS theory with both space-dependent space-space and space-time noncommutativities under more general $SL(2,\mathbb{Z})$ transformation. These space-dependent noncommutative theories (NCSYM and NCOS) have completely the same thermodynamics as that of ordinary super YM theory, NCSYM and NCOS theories with constant noncommutativity in the dual supergravity description. Starting from black D3-brane solution in the Melvin universe and making a Lorentz boost along one of spatial directions on the worldvolume of D3-branes, we show that the decoupled theory is a light-like NCSYM theory with space-dependent noncommutativity in a static frame or in an infinite-momentum frame depending on whether there is a gravitational pp-wave on the worldvolume of the D3-branes.

Latex, 13 pages, v2: typos fixed, the version in PRD

References in corpus (1)

• On Supergravity Solutions of Branes in Melvin Universes

Cited by in corpus (12)

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• The deformation quantizations of the hyperbolic plane
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• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• Noncommutative Field Theory on Homogeneous Gravitational Waves
• Aspects of Puff Field Theory
• Melvin Universe in Born-Infeld gravity
• Electrified Fuzzy Spheres and Funnels in Curved Backgrounds
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• Microscopic Formulation of Puff Field Theory
• D3 branes in a Melvin universe: a new realm for gravitational holography
• A New Lorentz Violating Nonlocal Field Theory From String-Theory