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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.
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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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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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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