Lorentz Anomaly in Semi-Light-Cone Gauge Superstrings(Particles and Fields)

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概要

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• We study the Lorentz invariance of D=4 and 6 superstrings in the double-spinor formalism, which are equivalent to the D=4 and 6 superstrings in the pure-spinor formalism in the sense of the BRST cohomology. We first re-examine how the conformal and Lorentz anomalies appear in the D=4 and 6 Green-Schwarz superstrings in the semi-light-cone gauge in the framework of BRST quantization. We construct a set of BRST invariant Lorentz generators and show that they do not form a closed algebra, even cohomologically.We then turn to the construction of Lorentz generators in the D=4 and 6 double-spinor superstrings, and show that the Lorentz invariance is again anomalous. We also discuss the relation between the anomaly-free Lorentz generators in the lower-dimensional pure-spinor formalisms and that obtained in this paper.

• 理論物理学刊行会の論文
• 2007-09-25

著者

• KUNITOMO Hiroshi

  Yukawa Institute for Theoretical Physics, Kyoto University

• Kunitomo Hiroshi

  Yukawa Institute For Theoretical Physics Kyoto University

• Mizoguchi Shun'ya

  High Energy Accelerator Research Organization (kek):department Of Particle And Nuclear Physics The G

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