R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism

Ahmad Ghodsi

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R^4 Corrections to D1D5p Black Hole Entropy from Entropy Function Formalism

Ahmad Ghodsi

High Energy Physics - Theory · Submitted 14 Apr 2006

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

The authors' main claim We show that in IIB string theory and for D1D5p black holes in ten dimensions the method of entropy function works.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.51 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We show that in IIB string theory and for D1D5p black holes in ten dimensions the method of entropy function works. Despite the more complicated Wald formula for the entropy of D1D5p black holes in ten dimensions, their entropy is given by entropy function at its extremum point. We use this method for computing the entropy of the system both at the level of supergravity and for its higher order alpha'^3R^4 corrections.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We show that in IIB string theory and for D1D5p black holes in ten dimensions the method of entropy function works.	result 0.75	0.91	0.66	asserted 1.00
s1	Despite the more complicated Wald formula for the entropy of D1D5p black holes in ten dimensions, their entropy is given by entropy function at its extremum point.	result 0.98	0.65	0.50	asserted 1.00
s2	We use this method for computing the entropy of the system both at the level of supergravity and for its higher order alpha'^3R^4 corrections.	method 0.68	0.93	0.20	asserted 0.99

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

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The paper

Original abstract

We show that in IIB string theory and for D1D5p black holes in ten dimensions the method of entropy function works. Despite the more complicated Wald formula for the entropy of D1D5p black holes in ten dimensions, their entropy is given by entropy function at its extremum point. We use this method for computing the entropy of the system both at the level of supergravity and for its higher order alpha'^3R^4 corrections.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Black Hole Microstates and Attractor Without Supersymmetry
hep-th 2006-11 conditional novelty 6.0 of 10

Attractor behaviour is argued to protect extremal black hole entropy without supersymmetry, so strong-coupling thermodynamic entropy should match weak-coupling microstate counting for non-supersymmetric extremal holes.
Rotating Attractors
hep-th 2006-06 accept novelty 6.0 of 10

The entropy function formalism extends to rotating extremal black holes: extremizing a function of charges and angular momentum yields the entropy and near-horizon geometry, independent of asymptotic moduli when the e...
Black Hole Entropy Function, Attractors and Precision Counting of Microstates
hep-th 2007-08 accept novelty 4.0 of 10

The statistical entropy of a class of quarter-BPS dyons in N=4 string theories matches the extremal black hole entropy, including the first inverse-charge correction from a Gauss-Bonnet term.

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9 arXiv papers cite this in 19 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 · 12 sentences without a confident label

Uses its method or tool 2 papers

To find $f_ł/ł|_ł=1$ using the prescription given in [ref] and [ref] , we note that in addition to $R_trtr$, the Riemann tensor components $R_tztz$ and $R_rzrz$ are proportional to $v_1$, R_trtr=-v_1/√(Q_1Q_5) , R_rzrz=v_1r^2/√(Q_1Q_5)(r^2-r_0^2) , R_tztz=-v_1r^2(r^2-r_0^2)/(Q_1Q_5)^3/2 .4R

Entropy Function for Non-extremal D1D5 and D2D6NS5-branes · Entropy function for non-extremal $D1D5$-branes · 0.97
In our case setting $ℒ=4π/2κ^2_10(L_0+γL_1)$ and taking into account that N_t=√(g_tt)(1,g_ty/g_tt,0,0,0,0⃗) , N_r=(0,0,0,0,√(g_rr),0⃗) , the Wald entropy [ref] reads (for more technical details see e.g. [ref] ) S_BH=8π/2κ^2_10∫_H dx^H√(g^H){∂ℒ/∂R_trtrg^_tt g^_rr+∂ℒ/∂R_yryrg^_yy g^_rr+2∂ℒ/∂R_tryrg^_ty g^_rr} .

Non-relativistic D3-brane in the presence of higher derivative corrections · Entropy · 0.89

Compares with it 2 papers

Note that the method used in this work is quite different from the standard entropy function method used in Ref. [ref] in that the entropy is obtained without extremizing the entropy function.

Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space · Conclusions · 0.81
This is related to the fact that the scheme for the higher derivative terms in [ref] is different from the scheme that we have chosen in W.

More on entropy function formalism for non-extremal branes · Entropy from entropy function · 0.81

Cites it as background 3 papers

In [ref] , [ref] and [ref] , the thermodynamics of some extremal black holes have been investigated by this mechanism.

Dilaton Black Hole Entropy from Entropy Function Formalism · Introduction · 0.89
The attractor mechanism has been observed for asymptotically flat as well as asymptotically $AdS$ black holes and in theories with higher derivative interactions, and there is a long list of papers where this subject has been studied widely [ref] .

The fate of flat directions in higher derivative gravity · Introduction and summary · 1.00
Various other recent references on entropy function and attractor mechanism can be found in [ref] .

Black Hole Entropy Function, Attractors and Precision Counting of Microstates · The full partition function · 1.00

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