RECORD
The Number of States of Two Dimensional Critical String Theory
High Energy Physics - Theory · Submitted 27 Nov 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This leads to the conclusion that it is also improbable to have only two large spacetime dimensions in string theory.
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.
Open the compiled record
The abstract, sentence by sentence
We discuss string theory vacua which have the wrong number of spacetime dimensions, and give a crude argument that vacua with more than four large dimensions are improbable. We then turn to two dimensional vacua, which naively appear to violate Bekenstein's entropy principle. A classical analysis shows that the naive perturbative counting of states is unjustified. All excited states of the system have strong coupling singularities which prevent us from concluding that they really exist. A speculative interpretation of the classical solutions suggests only a finite number of states will be found in regions bounded by a finite area. We also argue that the vacuum degeneracy of two dimensional classical string theory is removed in quantum mechanics. The system appears to be in a Kosterlitz-Thouless phase. This leads to the conclusion that it is also improbable to have only two large spacetime dimensions in string theory. However, we note that, unlike our argument for high dimensions, our conclusions about the ground state have neglected two dimensional quantum gravitational effects, and are at best incomplete.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss string theory vacua which have the wrong number of spacetime dimensions, and give a crude argument that vacua with more than four large dimensions are improbable. | contribution 0.56 | 0.87 | 0.16 | hedged possibility 0.85 |
| s1 | We then turn to two dimensional vacua, which naively appear to violate Bekenstein's entropy principle. | contribution 0.48 | 0.26 | 0.04 | hedged possibility 0.54 |
| s2 | A classical analysis shows that the naive perturbative counting of states is unjustified. | result 0.54 | 0.78 | 0.05 | asserted 1.00 |
| s3 | All excited states of the system have strong coupling singularities which prevent us from concluding that they really exist. | result 0.95 | 0.73 | 0.08 | asserted 0.99 |
| s4 | A speculative interpretation of the classical solutions suggests only a finite number of states will be found in regions bounded by a finite area. | interpretation 0.85 | 0.60 | 0.18 | speculative 0.60 |
| s5 | We also argue that the vacuum degeneracy of two dimensional classical string theory is removed in quantum mechanics. | result 0.95 | 0.70 | 0.07 | asserted 0.93 |
| s6 | The system appears to be in a Kosterlitz-Thouless phase. | interpretation 0.60 | 0.58 | 0.06 | asserted 0.88 |
| s7 | This leads to the conclusion that it is also improbable to have only two large spacetime dimensions in string theory. | result 0.62 | 0.84 | 0.35 | hedged possibility 0.68 |
| s8 | However, we note that, unlike our argument for high dimensions, our conclusions about the ground state have neglected two dimensional quantum gravitational effects, and are at best incomplete. | limitation 1.00 | 0.83 | 0.09 | hedged possibility 0.78 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We discuss string theory vacua which have the wrong number of spacetime dimensions, and give a crude argument that vacua with more than four large dimensions are improbable. We then turn to two dimensional vacua, which naively appear to violate Bekenstein's entropy principle. A classical analysis shows that the naive perturbative counting of states is unjustified. All excited states of the system have strong coupling singularities which prevent us from concluding that they really exist. A speculative interpretation of the classical solutions suggests only a finite number of states will be found in regions bounded by a finite area. We also argue that the vacuum degeneracy of two dimensional classical string theory is removed in quantum mechanics. The system appears to be in a Kosterlitz-Thouless phase. This leads to the conclusion that it is also improbable to have only two large spacetime dimensions in string theory. However, we note that, unlike our argument for high dimensions, our conclusions about the ground state have neglected two dimensional quantum gravitational effects, and are at best incomplete.
Human review
References
How the literature uses it
1 arXiv paper cite this in 1 sentence
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.