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Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism

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Lopez,  Esperanza
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Armoni, A., Lopez, E., & Theisen, S. (2002). Nonplanar Anomalies in Noncommutative Theories and the Green-Schwarz Mechanism. Journal of High Energy Physics, 2002(6): 050. doi:10.1088/1126-6708/2002/06/050.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-545D-F
Abstract
We discuss nonplanar anomalies in noncommutative gauge theories. In particular we show that a nonplanar anomaly exists when the external noncommutative momentum is zero and that it leads to a non-conservation of the associated axial charge. In the case of nonplanar local anomalies, a cancellation of the anomaly can be achieved by a Green-Schwarz mechanism . In an example of D3 branes placed on an orbifold singularity that leads to a chiral theory, the mechanism involves twisted RR fields which propagate with zero noncommutative momentum. Global anomalies are not cancelled and, in particular, the decay pi(0) --> 2gamma is allowed