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Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background

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R.R.Metsaev

High Energy Physics - Theory · Submitted 6 Dec 2001

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

The authors' main claim The resulting light-cone gauge action is quadratic in both the bosonic and fermionic superstring 2d fields, and therefore, this model can be explicitly quantized.

how it is stated · asserted 0.98 read the record →

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arXiv IDhep-th/0112044 (version 3)
Pith IDM446LZST, Pith's permanent record of this paper and its review
CitationR.R.Metsaev. "Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background." arXiv:hep-th/0112044 (2001). https://pith.science/paper/M446LZST
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.04 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; .

We construct the covariant $\kappa$-symmetric superstring action for type $IIB$ superstring on plane wave space supported by Ramond-Ramond background. The action is defined as a 2d sigma-model on the coset superspace. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz superstring action and find the light-cone string Lagrangian and the Hamiltonian. The resulting light-cone gauge action is quadratic in both the bosonic and fermionic superstring 2d fields, and therefore, this model can be explicitly quantized. We also obtain a realization of the generators of the basic superalgebra in terms of the superstring 2d fields in the light-cone gauge.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We construct the covariant $\kappa$-symmetric superstring action for type $IIB$ superstring on plane wave space supported by Ramond-Ramond background. contribution 1.00 0.96 0.23 asserted 1.00
s1 The action is defined as a 2d sigma-model on the coset superspace. method 0.84 0.68 0.05 asserted 1.00
s2 We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz superstring action and find the light-cone string Lagrangian and the Hamiltonian. method 0.77 0.96 0.13 asserted 1.00
s3 The resulting light-cone gauge action is quadratic in both the bosonic and fermionic superstring 2d fields, and therefore, this model can be explicitly quantized. interpretation 0.54 0.89 0.44 asserted 0.98
s4 We also obtain a realization of the generators of the basic superalgebra in terms of the superstring 2d fields in the light-cone gauge. result 0.68 0.96 0.14 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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The paper
Original abstract

We construct the covariant $\kappa$-symmetric superstring action for type $IIB$ superstring on plane wave space supported by Ramond-Ramond background. The action is defined as a 2d sigma-model on the coset superspace. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz superstring action and find the light-cone string Lagrangian and the Hamiltonian. The resulting light-cone gauge action is quadratic in both the bosonic and fermionic superstring 2d fields, and therefore, this model can be explicitly quantized. We also obtain a realization of the generators of the basic superalgebra in terms of the superstring 2d fields in the light-cone gauge.

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References
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52 arXiv papers cite this in 86 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 · 56 sentences without a confident label

Builds on it 1 paper
  • (To be consistent with ([ref])), the integer $m$ which appears in $p_mag$ is interpreted is a wrapping number.) The resulting discrete light-cone quantization of the string on the plane wave background is a simple generalization of Metsaev's original solution [ref] .

    Finite Size Giant Magnon · Introduction · 0.94

Uses its method or tool 4 papers
  • We will employ the Green-Schwarz formulation developed by Metsaev [ref] (see also [ref] ).

    Superstring in the pp-wave background with RR flux as a conformal field theory · Green-Schwarz Lagrangian in the semi-light-cone gauge · 0.99

  • We take our basic Lagrangian to be the one constructed by Metsaev [ref] in the Green-Schwarz formalism in the semi-light-cone(SLC) conformal gauge [ref] .

    Superstring in the plane-wave background with RR flux as a conformal field theory · Introduction and summary · 0.95

  • After enforcing the light cone gauge condition $x^+ = τ$ and worldsheet metric to $h^στ = 0$, $h^σσ = -h^ττ = 1$, the fermionic part of the Green-Schwarz action reduces to the quadratic one in the plane wave background [ref] and takes the following form [equation] after inserting the antisymmetric tensor fields ([ref]) for the $T_N$ theory, the action becomes [equation] where we have used the fact that $Γ^+Γ_+=1+ Γ^09$ and hence $(Γ^+Γ_+)^2 = 2Γ^+Γ_+$.

    A Penrose limit for type IIB $AdS_6$ solutions · Fermionic Spectrum · 0.89

Compares with it 4 papers
Cites it as background 17 papers
  • Taking the Penrose limit one gets the maximally supersymmetric pp-wave background [ref] where type IIB string theory can be quantized [ref] .

    New Penrose Limits and AdS/CFT · Introduction · 0.81

  • The interest has been triggered by the remarkable proof of the exact perturbative quantization of the type IIB Green-Schwarz (GS) superstring in the light-cone gauge in the presence of the pp-waves [ref] and of the relationship between the string theory in pp-wave background and the AdS/CFT correspondence in the Penrose limit of the $AdS ×S$.

    Thermal D-brane boundary states from type IIB Green-Schwarz superstring in pp-wave background · Introduction · 0.88

  • The action in the pp-wave background has been constructed by Metsaev [ref] , and the contraction that leads from the $𝔭𝔰𝔲(2,2|4)$ superalgera to the pp-wave isometry superalgebra has been found by Hatsuda, Kamimura and Sakaguchi [ref] .

    Lie Algebra Expansion and Integrability in Superstring Sigma-Models · The Berenstein-Maldacena-Nastase (BMN) Case · 0.95

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