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Finite Size Scaling and Conformal Curves

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M. A. Rajabpour, S. Moghimi-Araghi

High Energy Physics - Theory · Submitted 6 Nov 2005

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

The authors' main claim In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$).

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arXiv IDhep-th/0511067 (version 1)
Pith IDVMKCVYUW, Pith's permanent record of this paper and its review
CitationM. A. Rajabpour, S. Moghimi-Araghi. "Finite Size Scaling and Conformal Curves." arXiv:hep-th/0511067 (2005). https://pith.science/paper/VMKCVYUW
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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, 2,313 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.06 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). As an application, we will derive the entanglement entropy of quantum systems in critical regime in presence of boundary operators.

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 In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). contribution 0.74 0.94 0.69 asserted 1.00
s1 As an application, we will derive the entanglement entropy of quantum systems in critical regime in presence of boundary operators. contribution 0.49 0.89 0.19 asserted 0.94

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

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  • T body sentences
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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

In this letter we investigate the finite size scaling effect on SLE($\kappa,\rho$) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of SLE($\kappa,\rho$). As an application, we will derive the entanglement entropy of quantum systems in critical regime in presence of boundary operators.

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