A New Lorentz Violating Nonlocal Field Theory From String-Theory

Abstract

A four-dimensional field theory with a qualitatively new type of nonlocality is constructed from a setting where Kaluza-Klein particles probe toroidally compactified string theory with twisted boundary conditions. In this theory fundamental particles are not pointlike and occupy a volume proportional to their R-charge. The theory breaks Lorentz invariance but appears to preserve spatial rotations. At low energies, it is approximately N=4 Super Yang-Mills theory, deformed by an operator of dimension seven. The dispersion relation of massless modes in vacuum is unchanged, but under certain conditions in this theory, particles can travel at superluminal velocities.

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• Classification of the BPS states in Bagger-Lambert Theory
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• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• Aspects of Puff Field Theory
• Time warps
• Lorentz-Violating Massive Gravity in Curved Space
• Microscopic Formulation of Puff Field Theory
• D3 branes in a Melvin universe: a new realm for gravitational holography
• Scaling Transformation for Nonlocal Interactions
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory