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Dirichlet String Theory and Singular Random Surfaces

High Energy Physics - Theory · Submitted 20 Sep 1993

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

The authors' main claim We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9309108 (version 2)
Pith ID62IGLROL, Pith's permanent record of this paper and its review
CitationMiao Li. "Dirichlet String Theory and Singular Random Surfaces." arXiv:hep-th/9309108 (1993). https://pith.science/paper/62IGLROL
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The compiled record

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, 4,702 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.26 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. Singular surfaces with saddle points indeed arise in the strong coupling expansion in lattice QCD. The kind of saddle point, which may be the origin of a singular point we need, is of infinite order.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. result 0.88 0.92 0.88 asserted 1.00
s1 Surface curvature is singular at these points. result 0.89 0.50 0.05 asserted 1.00
s2 A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. result 0.67 0.69 0.09 asserted 1.00
s3 We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. result 0.95 0.91 0.15 asserted 1.00
s4 Singular surfaces with saddle points indeed arise in the strong coupling expansion in lattice QCD. result 0.67 0.35 0.07 asserted 0.98
s5 The kind of saddle point, which may be the origin of a singular point we need, is of infinite order. result 0.64 0.41 0.04 hedged possibility 0.56

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • 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 show that string theory with Dirichlet boundaries is equivalent to string theory containing surfaces with certain singular points. Surface curvature is singular at these points. A singular point is resolved in conformal coordinates to a circle with Dirichlet boundary conditions. We also show that moduli parameters of singular surfaces coincide with those of smooth surfaces with boundaries. Singular surfaces with saddle points indeed arise in the strong coupling expansion in lattice QCD. The kind of saddle point, which may be the origin of a singular point we need, is of infinite order.

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