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Prog. Theor. Phys. Vol. 118 No. 3 (2007) pp. 559-576

[ Full Text PDF : FREE ACCESS (200K) ]

Lorentz Anomaly in Semi-Light-Cone Gauge Superstrings

Hiroshi Kunitomo1 and Shun'ya Mizoguchi2,3

1Yukawa Institute for Theoretical Physics, Kyoto University,
Kyoto 606-8502, Japan
2High Energy Accelerator Research Organization (KEK),
Tsukuba 305-0801, Japan
3Department of Particle and Nuclear Physics,
The Graduate University for Advanced Studies,
Tsukuba 305-0801, Japan

(Received June 28, 2007)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/118/559/
DOI : 10.1143/PTP.118.559

[ Full Text PDF : FREE ACCESS (200K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 125 No. 2 (2011) pp. 265-344 :
    Operator Formulation of Green-Schwarz Superstring in the Semi-Light-Cone Conformal Gauge
    Yoichi Kazama and Naoto Yokoi

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