String Quantization in Curved Spacetimes: Null String Approach

A. Nicolaidis; H. J. de Vega; I. Giannakis

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String Quantization in Curved Spacetimes: Null String Approach

H. J. de Vega, I. Giannakis, A. Nicolaidis

High Energy Physics - Theory · Submitted 9 Dec 1994

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

The authors' main claim No critical dimension appears.

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arXiv IDhep-th/9412081 (version 1)

Pith IDVFLRHPW7, Pith's permanent record of this paper and its review

CitationA. Nicolaidis, H. J. de Vega, I. Giannakis. "String Quantization in Curved Spacetimes: Null String Approach." arXiv:hep-th/9412081 (1994). https://pith.science/paper/VFLRHPW7

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,030 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.87 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correction incorporates the string dynamics. We apply our formalism to quantum null strings in de Sitter spacetime. After a reparametrization of the world-sheet coordinates, the equations of motion are simplified. The quantum algebra generated by the constraints is considered, ordering the momentum operators to the right of the coordinate operators. No critical dimension appears. It is anticipated however that the conformal anomaly will appear when the first order corrections proportional to $T_0$, are introduced.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study quantum strings in strong gravitational fields.	contribution 0.78	0.88	0.04	asserted 0.94
s1	The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension.	method 0.91	0.55	0.05	asserted 1.00
s2	Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correction incorporates the string dynamics.	result 0.78	0.95	0.22	asserted 1.00
s3	We apply our formalism to quantum null strings in de Sitter spacetime.	contribution 0.86	0.91	0.06	asserted 0.98
s4	After a reparametrization of the world-sheet coordinates, the equations of motion are simplified.	method 0.99	0.82	0.03	asserted 1.00
s5	The quantum algebra generated by the constraints is considered, ordering the momentum operators to the right of the coordinate operators.	method 0.94	0.88	0.04	asserted 0.97
s6	No critical dimension appears.	result 1.00	0.82	0.17	asserted 1.00
s7	It is anticipated however that the conformal anomaly will appear when the first order corrections proportional to $T_0$, are introduced.	interpretation 0.64	0.19	0.20	hedged possibility 0.61

What kind of paper the classifier reports this is: theoretical result 0.90 · evidence from proof or derivation 1.00.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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P abstract

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S sections
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C citations
R cross-paper relations

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

We study quantum strings in strong gravitational fields. The relevant small parameter is $g=R_c{\sqrt T_0}$, where $R_c$ is the curvature of the spacetime and $T_0$ is the string tension. Within our systematic expansion we obtain to zeroth order the null string (string with zero tension), while the first order correction incorporates the string dynamics. We apply our formalism to quantum null strings in de Sitter spacetime. After a reparametrization of the world-sheet coordinates, the equations of motion are simplified. The quantum algebra generated by the constraints is considered, ordering the momentum operators to the right of the coordinate operators. No critical dimension appears. It is anticipated however that the conformal anomaly will appear when the first order corrections proportional to $T_0$, are introduced.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry
hep-th 2026-05 unverdicted novelty 7.0 of 10

Null strings admit two Carroll-Weyl gauge scalings; the standard ILST action arises by fixing one of them, with the residual symmetry matching an overlooked partial gauge symmetry identified in prior work.
An Inconsistency in the Null Strings Literature: The Tale of an Overlooked Symmetry
hep-th 2026-05 unverdicted novelty 6.0 of 10

The paper claims a new local symmetry of null strings forces a third constraint, giving D−3 physical degrees of freedom.

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2 arXiv papers cite this in 2 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

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Cites it as background 1 paper

The “tensionless” limit ($l_s →∞$ or $T →0$) [ref] is of physical significance for ultra-high energy regimes near the Hagedorn transition [ref] and for strings probing black hole or cosmological horizons where redshift factors diverge [ref] .

An Inconsistency in the Null Strings Literature: The Tale of an Overlooked Symmetry · Introduction · 0.85

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