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ON GAUGE INVARIANCE OF THE COVARIANT ACTION OF THE GREEN-SCHWARZ SUPERSTRING

Takayuki Hori, Kana Kamimura

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Abstract

The gauge invariance of the covariant classical action of the Green-Schwarz superstring with Euclidean world sheet metric is examined. The action in terms of the Majorana-Weyl spinors is shown to exist only for the chiral model (type IIB). This action coincides with the one analytically continued from the Lorentzian metric when the Majorana condition is suitably modifed.

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What this paper is about

The gauge invariance of the covariant classical action of the Green-Schwarz superstring with Euclidean world sheet metric is examined. The action in terms of the Majorana-Weyl spinors is shown to exist only for the chiral model (type IIB). This action coincides with the one analytically continued from the Lorentzian metric when the Majorana condition is suitably modifed.

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Available abstract

The gauge invariance of the covariant classical action of the Green-Schwarz superstring with Euclidean world sheet metric is examined. The action in terms of the Majorana-Weyl spinors is shown to exist only for the chiral model (type IIB). This action coincides with the one analytically continued from the Lorentzian metric when the Majorana condition is suitably modifed.

Key concepts: Superstring theory, Physics, Green–Schwarz mechanism, Covariant transformation, Mathematical physics, Pure spinor, MAJORANA, BRST quantization

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