Statistics of intersecting D-brane models on T^6/Z_6

Dieter Lust; Florian Gmeiner; Maren Stein

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Statistics of intersecting D-brane models on T^6/Z_6

Florian Gmeiner, Dieter Lust, Maren Stein

High Energy Physics - Theory · Submitted 1 Mar 2007

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

The authors' main claim In particular we search for models with a standard model gauge group and discuss their statistical suppression.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.27 · randomized assignment 0.33 · states quantitative result 0.97 · compares with prior results 0.97 · mentions code or data availability 0.02.

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

We perform a statistical analysis of supersymmetric intersecting D-brane models on the type II orientifold T^6/Z_6. After providing an analytic proof of the finiteness of the number of possible solutions in this setup we study the frequency distributions of properties of the gauge group and the chiral matter content. In particular we search for models with a standard model gauge group and discuss their statistical suppression. The results are compared with the recent studies on T^6/Z_2xZ_2. The analysis is conducted using a statistical method, based on the choice of random subsets of the full ensemble of solutions. This method allows to calculate the total number of models with high precision to 3x10^28.

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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	We perform a statistical analysis of supersymmetric intersecting D-brane models on the type II orientifold T^6/Z_6.	contribution 1.00	0.96	0.06	asserted 0.98
s1	After providing an analytic proof of the finiteness of the number of possible solutions in this setup we study the frequency distributions of properties of the gauge group and the chiral matter content.	contribution 0.98	0.95	0.11	asserted 1.00
s2	In particular we search for models with a standard model gauge group and discuss their statistical suppression.	contribution 0.92	0.91	0.17	asserted 0.66
s3	The results are compared with the recent studies on T^6/Z_2xZ_2.	contribution 0.41	0.49	0.04	asserted 0.94
s4	The analysis is conducted using a statistical method, based on the choice of random subsets of the full ensemble of solutions.	method 1.00	0.91	0.03	asserted 1.00
s5	This method allows to calculate the total number of models with high precision to 3x10^28.	result 0.69	0.92	0.13	asserted 0.99

What kind of paper the classifier reports this is: simulation study 0.51 · evidence from simulation or computation 0.91.

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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

We perform a statistical analysis of supersymmetric intersecting D-brane models on the type II orientifold T^6/Z_6. After providing an analytic proof of the finiteness of the number of possible solutions in this setup we study the frequency distributions of properties of the gauge group and the chiral matter content. In particular we search for models with a standard model gauge group and discuss their statistical suppression. The results are compared with the recent studies on T^6/Z_2xZ_2. The analysis is conducted using a statistical method, based on the choice of random subsets of the full ensemble of solutions. This method allows to calculate the total number of models with high precision to 3x10^28.

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6 arXiv papers cite this in 13 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 · 5 sentences without a confident label

Builds on it 2 papers

To bypass the problem of getting always chiral exotic massless particles, the statistical scan was extended in [ref] to the case of the $Z_6$ orbifold geometry and in [ref] to the $Z_6'$ orbifold background geometry.

Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology · $Z_6$ and $Z_6'$ orientifolds · 0.84
The statistical scan was extended in [ref] to the case of the $Z_6$ orbifold geometry background geometry.

String Landscape and the Standard Model of Particle Physics · Intersecting D-brane models · 0.87

Compares with it 1 paper

On $T^6/_2 ×_2$ [ref] , the Pati-Salam relation [ref] on gauge couplings was fulfilled in 88% of the models, but less than 3% were compatible with the $SU(5)$ GUT relation [ref] on the non-Abelian gauge groups.[The analysis included only one and two generation models, since no explicit three generation model was found due to the cut-off method used for the statistical treatment.] In the $T^6/_6$ background with three generations [ref] , the situation was the reverse: since all D6-branes were wrapping the same bulk cycle, $α_s = α_w$ was fulfilled but the hyper charge as defined in table [ref] was not compatible with [ref].

Millions of Standard Models on Z6-prime? · Gauge couplings · 0.99

Cites it as support 1 paper

Since it has been shown in [ref] for $T^6/_6$ and in [ref] for $T^6/_6'$ that the probe brane constraint [ref] is fulfilled for any solution to the RR tadpole cancellation conditions, we will not discuss this second topological constraint further in this article.

Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models · Consistency conditions · 0.96

Cites it as background 3 papers

The $T^6/_6$ model was described first in [ref] and was also found in a systematic computer search for models on this background [ref] .

Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models · Examples with Standard Model like spectra · 0.93
In recent years, a large number of string theory vacua has been found by using a statistical approach, see e.g. [ref] for heterotic orbifolds, [ref] for free fermionic models, [ref] for rational conformal field theories and [ref] for intersecting D-branes in orbifold backgrounds.

Millions of Standard Models on Z6-prime? · Introduction · 0.99
A statistical analysis of solutions on these orbifolds has also been carried out in [ref] .

Diversity in the Tail of the Intersecting Brane Landscape · Other toroidal orbifolds · 0.90

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