RECORD
The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
High Energy Physics - Theory · Submitted 20 Feb 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,R)/U(1) coset conformal field theory construction.
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 compute the partition function of the conformal field theory on the two-dimensional euclidean black hole background using path-integral techniques. We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,R)/U(1) coset conformal field theory construction. In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. We point out the relevance of the partition function to all string theory backgrounds that include an SL(2,R)/U(1) coset factor.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the partition function of the conformal field theory on the two-dimensional euclidean black hole background using path-integral techniques. | contribution 0.83 | 0.96 | 0.11 | asserted 1.00 |
| s1 | We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,R)/U(1) coset conformal field theory construction. | result 0.76 | 0.93 | 0.42 | asserted 0.73 |
| s2 | In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. | result 1.00 | 0.96 | 0.30 | asserted 1.00 |
| s3 | We point out the relevance of the partition function to all string theory backgrounds that include an SL(2,R)/U(1) coset factor. | interpretation 1.00 | 0.67 | 0.17 | asserted 0.93 |
What was examined, and what was not
- arXiv listing abstract v2
- 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 compute the partition function of the conformal field theory on the two-dimensional euclidean black hole background using path-integral techniques. We show that the resulting spectrum is consistent with the algebraic expectations for the SL(2,R)/U(1) coset conformal field theory construction. In particular, we find confirmation for the bound on the spin of the discrete representations and we determine the density of the continuous representations. We point out the relevance of the partition function to all string theory backgrounds that include an SL(2,R)/U(1) coset factor.
Human review
References
How the literature uses it
40 arXiv papers cite this in 108 sentences
Papers citing it · 68 sentences without a confident label
Contests it 1 paper
-
However, the regularization used in both [ref] and [ref] is not modular invariant.
The non-compact elliptic genus: mock or modular · Introduction · contest 0.85
Builds on it 1 paper
-
This yields[ The formulae for the partition function presented in the works [ref] is twice $Z_EBH$ given by [ref] with $k=0$.
Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain · Density matrix for the Euclidean black hole NLSM · 0.83
Uses its method or tool 9 papers
-
Our general strategy closely follows the analysis of [ref] , where the one-loop free energy of strings propagating on $AdS_3$ was derived from the torus partition function, as well as the approach taken in [ref] , where the authors determine the spectrum of the uncharged two-dimensional black hole using path-integral methods.
One-loop effect in the charged 2D black hole near extremality · Introduction · 0.99
-
As was done in [ref] , we will now change the integration contour of the first trace from $p':= p+ik/2 ∈R+ik/2$ to $R$.
Warped String Compactification via Singular Calabi-Yau Conformal Field Theory · Localized modes · 0.99
-
They used the character decomposition technique developed in different but similar models [ref] to show the existence of the localized modes.
Localized Modes in Type II and Heterotic Singular Calabi-Yau Conformal Field Theories · Absence of localized modes · 0.93
Compares with it 5 papers
-
The density of state naturally interpolates between the known results for $AdS_3 ×N$ of [ref] and $R_t ×(SL(2,R) /U(1)) ×N$ of [ref] .
Thermal partition function of $J_3 \bar{J}_3$ deformed $AdS_3$ · One-loop amplitude of the $J_3 J̅_3$ deformed $AdS_3 ×N$ · 0.86
-
However, in comparison to [ref] , we make the following changes.
The non-compact elliptic genus: mock or modular · The path integral and modularity · 0.83
-
Moreover, this result is consistent with the partition function of the $SL(2,ℝ)/U(1)$ uncharged black hole derived in [ref] when $β=2 πi$, $P̅=0$ and the contribution from the compact $U(1)$ boson is neglected.
One-loop effect in the charged 2D black hole near extremality · One-loop worldsheet partition function · 0.98
Cites it as background 11 papers
-
In the works [ref] the Euclidean black hole NLSM occurs in the context of bosonic string theory on $AdS_3$.
Scaling limit of the ${\cal Z}_2$ invariant inhomogeneous six-vertex model · Partition function for the Euclidean black hole NLSM · 0.83
-
To this end, it is useful to recall some basic features of the black hole CFT [ref] .
Non compact continuum limit of two coupled Potts models · Evidence for a non compact boson · 0.93
-
We then start the discussion of the localized spectrum [ref] , which is characteristic of non-compact models.
Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry · Introduction · 0.86
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.