Noncommutative string and field theories, a review of the status

DOI10.1016/S0920-5632(02)01313-0zbMath1080.81616MaRDI QIDQ1597301

R. Smith

Publication date: 12 May 2002

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Nonequivalent Seiberg-Witten maps for noncommutative massive \(U(N)\) gauge theory, M-theory brane deformations, Chiral gauge anomalies on noncommutative \(\mathbb R^ 4\)., A consistent noncommutative field theory: the Wess-Zumino model., Noncommutative \(\text{SO}(n)\) and \(\text{Sp}(n)\) gauge theories., D-branes, symplectomorphisms and noncommutative gauge theories

Cites Work

• Non-commutative open string and D-brane
• Supergravity and large-\(N\) noncommutative field theories
• String theory and noncommutative geometry
• Noncommutative geometry from strings and branes
• Quantized Space-Time
• Noncommutative perturbative dynamics
• \(S\)-duality and noncommutative gauge theory
• Non-commutative solitons
• Boundary conditions as Dirac constraints
• Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
• The IR/UV connection in non-commutative gauge theories
• Super Yang-Mills theory on noncommutative torus from open strings interactions.
• The BRS invariance of noncommutative \(U(N)\) Yang-Mills theory at the one-loop level
• Renormalization of non-commutative U\((N)\) gauge theories