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D-branes and the Noncommutative Torus
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We show that in certain superstring compactifications, gauge theories on noncommutative tori will naturally appear as D-brane world-volume theories. This gives strong evidence that they are well-defined quantum theories. It also gives a physical derivation of the identification proposed by Connes, Douglas and Schwarz of Matrix theory compactification on the noncommutative torus with M theory compactification with constant background three-form tensor field.
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Cited by 2 Pith papers
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IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
In noncommutative Yukawa theory, the CPT-required pair of interaction orderings converts the one-loop ultraviolet quadratic divergence into an infrared pole that is reachable in the s-channel.
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Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
In the noncommutative Yang–Mills dual, holographic subregion complexity acquires a lower bound and a minimum-length scale, and strong subadditivity fails exactly at that scale.
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