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Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring

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Nathan Berkovits, Dafni Z. Marchioro (IFT/UNESP - Sao Paulo)

High Energy Physics - Theory · Submitted 17 Dec 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring.

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arXiv IDhep-th/0412198 (version 2)
Pith IDBKNIQSY4, Pith's permanent record of this paper and its review
CitationDafni Z. Marchioro (IFT/UNESP - Sao Paulo), Nathan Berkovits. "Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring." arXiv:hep-th/0412198 (2004). https://pith.science/paper/BKNIQSY4
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arXiv listing abstract v2. Results and the main claim are underlined; .

Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. background 0.93 0.06 0.03 asserted 0.98
s1 In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring. result 0.77 0.95 0.95 asserted 1.00

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Although it is not known how to covariantly quantize the Green-Schwarz (GS) superstring, there exists a semi-light-cone gauge choice in which the GS superstring can be quantized in a conformally invariant manner. In this paper, we prove that BRST quantization of the GS superstring in semi-light-cone gauge is equivalent to BRST quantization using the pure spinor formalism for the superstring.

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25 arXiv papers cite this in 30 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 18 sentences without a confident label

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Cites it as background 10 papers
  • On the other hand due to the fact that the BRST operator in the pure spinor formalism is unconventional the relation of this formalism to the Green-Schwarz (GS) and Ramond-Neveu-Schwarz (RNS) formalisms for the super-string was mysterious [The problem how pure spinor formalism arises from the conventional GS formalism was attached in many papers from several point of view [ref] .].

    Note About Redefinition of BRST Operator for Pure Spinor String in General Background · Introduction · 0.80

  • This subsection is a brief review of [ref] .

    Pure spinors and $D=11$ supergravity · $D=10$ pure spinor superparticle · 1.00

  • In ten dimensions, the pure spinor formalism [ref] has led to a remarkable simplification of the calculation of superstrings loop amplitudes in flat space and their equivalence to the RNS formalism has been fully demonstrated (see e.g., [ref] and the non-minimal approach [ref] ).

    Black Hole Partition Function using Hybrid Formalism of Superstrings · Introduction · 0.93

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