Closed string transport coefficients and the membrane paradigm

Yuya Sasai

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Closed string transport coefficients and the membrane paradigm

Yuya Sasai

High Energy Physics - Theory · Submitted 29 Apr 2011

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

The authors' main claim Comparing both the transport coefficients at the correspondence point, I show that, except for the bulk viscosity, the membrane transport coefficients are of the same order as the transport coefficients of the closed string states on the stretched horizon.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.73 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.83 · compares with prior results 0.62 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

I discuss a correspondence between a fictitious fluid in the black hole membrane paradigm and highly excited closed string states according to the black hole correspondence principle. I calculate the membrane transport coefficients of an electric NS-NS 2-charged black hole and transport coefficients of the highly excited closed string states which possess a Kaluza-Klein number and a winding number. Comparing both the transport coefficients at the correspondence point, I show that, except for the bulk viscosity, the membrane transport coefficients are of the same order as the transport coefficients of the closed string states on the stretched horizon. Also, I show that, except for the bulk viscosity, both the dimensionless transport coefficients, which are defined by dividing the transport coefficients by the entropy density, are exactly equal if the central charge is 6.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	I discuss a correspondence between a fictitious fluid in the black hole membrane paradigm and highly excited closed string states according to the black hole correspondence principle.	contribution 0.69	0.66	0.08	asserted 0.91
s1	I calculate the membrane transport coefficients of an electric NS-NS 2-charged black hole and transport coefficients of the highly excited closed string states which possess a Kaluza-Klein number and a winding number.	contribution 0.58	0.94	0.05	asserted 0.99
s2	Comparing both the transport coefficients at the correspondence point, I show that, except for the bulk viscosity, the membrane transport coefficients are of the same order as the transport coefficients of the closed string states on the stretched horizon.	result 1.00	0.94	0.62	asserted 1.00
s3	Also, I show that, except for the bulk viscosity, both the dimensionless transport coefficients, which are defined by dividing the transport coefficients by the entropy density, are exactly equal if the central charge is 6.	result 1.00	0.94	0.37	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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arXiv listing abstract v3

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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

I discuss a correspondence between a fictitious fluid in the black hole membrane paradigm and highly excited closed string states according to the black hole correspondence principle. I calculate the membrane transport coefficients of an electric NS-NS 2-charged black hole and transport coefficients of the highly excited closed string states which possess a Kaluza-Klein number and a winding number. Comparing both the transport coefficients at the correspondence point, I show that, except for the bulk viscosity, the membrane transport coefficients are of the same order as the transport coefficients of the closed string states on the stretched horizon. Also, I show that, except for the bulk viscosity, both the dimensionless transport coefficients, which are defined by dividing the transport coefficients by the entropy density, are exactly equal if the central charge is 6.

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How the literature uses it

2 arXiv papers cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Uses its method or tool 1 paper

Let us calculate the membrane transport coefficient of the near extremal black hole induced by $h_ij$ [ref] .

Transport coefficients of D1-D5-P system and the membrane paradigm · Membrane transport coefficients induced by minimal scalars · 0.92

What it cites · 32 sentences without a confident label

Builds on 2 papers

This correspondence has been generalized in the case of charged black holes [ref] .

EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES · Introduction · 0.87
This correspondence has been generalized in the case of charged black holes [ref] .

A Correspondence Principle for Black Holes and Strings · Introduction · 0.87

Uses the method or tool of 2 papers

To obtain the transport coefficients of the highly excited closed string states, I use the Kubo's formula [ref] .

Shear viscosity of a highly excited string and the black hole membrane paradigm · Linear response and Kubo's formula · 0.96
One can construct an electric NS-NS charged black hole from the Schwarzshild solution by using the solution generating method [ref] .

A Correspondence Principle for Black Holes and Strings · Black hole solutions · 0.87

Cites as background 2 papers

The black hole correspondence principle states that as one decreases the string coupling $g_s$, a black hole will turn into string states when the curvature length scale at the horizon of the black hole in string frame is of the order of the string length scale $l_s$ [ref] .

A Correspondence Principle for Black Holes and Strings · The black hole correspondence principle · 0.96
In [ref] , it has been proposed that the Bekenstein-Hawking entropy of a macroscopic Schwarzshild black hole could be explained by highly excited neutral string states which cover the stretched horizon of the black hole.

Some Speculations about Black Hole Entropy in String Theory · Introduction · 0.86

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