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How noncommutative gauge theories couple to gravity

2000/12/31 by Yuji Okawa, Hirosi Ooguri · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge anomaly #Gauge theory #Gravitation #Graviton #Green–Schwarz mechanism #Introduction to gauge theory #Mathematical physics #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String duality #String theory #Superstring theory #Supersymmetric gauge theory #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00038-4

published as Nucl.Phys.B599:55-82,2001 · 31 pages, LaTeX2e; v2: a new section on superstring added; v3: typos corrected, version to appear in Nucl. Phys. B

arxiv created 2001/03/23 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study coupling of noncommutative gauge theories on branes to closed string in the bulk. We derive an expression for the gauge theory operator dual to the bulk graviton, both in bosonic string theory and superstring theory. In either case, we find that the coupling is different from what was expected in the literature when the graviton is polarized in the noncommutative directions. In the case of superstring, the expression for the energy-momentum tensor is consistent with the way the bulk metric appears in the action for the noncommutative gauge theory. We also clarify some aspects of the correspondence between operators in the gauge theory and boundary conditions in the dual gravitational description.

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