Statistics of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-brane models on a type II orientifold

Gmeiner, Florian; Stein, Maren

doi:10.1103/physrevd.73.126008

Cited by 22 publications

(32 citation statements)

References 18 publications

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“…For this class of models we also analysed the values of the gauge couplings at the string scale. In the case of models containing a Pati-Salam or SU (5) gauge group [71], it was shown that the frequency distributions of gauge factors do not change, indicating that the specific choice of a visible sector does not alter the statistics. Concerning the universality of these results, it should be stressed that it is very likely that some of them depend strongly on the specific geometry that has been chosen.…”

Section: Discussionmentioning

confidence: 99%

“…In this endeavour a lot of work has been done to analyse the properties and define a suitable statistical measure in the closed string sector of the theory [6,39,42,66,51,84,32,40,44,47,50,1,52,55,76]. In this work we are focusing on the statistics of the open string sector [17,77,78,5,99,69,68,71,79,45,46]. We are not trying to take the most general point of view and analyse a generic statistical distribution, but focus instead on a very specific class of models.…”

Section: Introductionmentioning

confidence: 99%

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Gauge sector statistics of intersecting D‐brane models

Gmeiner

2007

Fortschritte der Physik

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In this article, which is based on the first part of my PhD thesis, I review the statistics of the open string sector in T^6/(Z_2xZ_2) orientifold compactifications of the type IIA string. After an introduction to the orientifold setup, I discuss the two different techniques that have been developed to analyse the gauge sector statistics, using either a saddle point approximation or a direct computer based method. The two approaches are explained and compared by means of eight- and six-dimensional toy models. In the four-dimensional case the results are presented in detail. Special emphasis is put on models containing phenomenologically interesting gauge groups and chiral matter, in particular those containing a standard model or SU(5) part.Comment: 51 pages, 29 figures; v2: ref. added, version to appear in Fortsch. Phys; v3: ref. adde

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gauge sector statistics of intersecting D‐brane models

Gmeiner

2007

Fortschritte der Physik

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“…It would be very important to find globally consistent semirealistic string vacua exhibiting this effect. A straightforward implementation into the models of [27,[29][30][31][32][33] is hampered by the necessity of absorbing dangerous instanton zero modes due to nonrigidity of the cycles in the used backgrounds. We hope to return to this question in the future.…”

Section: Prl 100 061602 (2008) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

“…Such models were first generally proposed in [28] and explicitly constructed for intersecting D6-branes in [27,[29][30][31][32][33].…”

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confidence: 99%

Nonperturbative Yukawa Couplings from String Instantons

et al. 2008

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Nonperturbative D-brane instantons can generate perturbatively absent though phenomenologically relevant couplings for type II orientifold compactifications with D-branes. We discuss the generation of the perturbatively vanishing SU(5) GUT Yukawa coupling of type (10 10 5 H ). Moreover, for a simple globally consistent intersecting D6-brane model, we discuss the generation of mass terms for matter fields. This can serve as a mechanism for decoupling exotic matter. Introduction.-Nonperturbative mass generation by gauge instantons is essential to explain the pattern of meson masses in QCD. Specifically, QCD instantons generate a nonperturbative, effective fermion interaction [1] that involves N f flavors of quark fields and breaks the perturbative U1 A axial symmetry to a discrete Z 2N F subgroup. In this way the mass of the 0 meson gets generated [2,3]. In addition, gauge instantons of the weak SU2 gauge group are responsible for baryon number violating processes in the standard model of particle physics. DisciplinesFollowing these observations, it would be very interesting if also some of the quark and lepton masses are of nonperturbative origin in theories beyond the standard model. For instance, Weinberg [4] suggested that quark masses could be due to gauge instantons of some hypercolor interactions in subquark models.Also in string theory compactifications, quark and lepton masses, or rather the respective Yukawa couplings, can be generated by nonperturbative effects, more precisely by string world-sheet [5] or by spacetime instantons. Most importantly, string theory opens up some new perspectives in that nonperturbative effects do not only include gauge instantons of the effective gauge theory, but also entirely stringy instantons not related to effective gauge interactions. In fact, during the last year there has been some progress towards a better understanding of nonperturbative effects in N 1 supersymmetric four-dimensional string compactifications on Calabi-Yau orientifolds ([6 -9] and further developments in [10 -19]; for closely related earlier work see [20,21]). Type IIA orientifolds with intersecting D6-branes (see, e.g., the recent reviews [22,23] for references) receive nonperturbative corrections from Euclidean D2-brane instantons, short E2-instantons, wrapping special Lagrangian three-cycles of the internal Calabi-Yau space.Once a conformal field theory (CFT) description of the background is available, the induced nonperturbative couplings can be studied using methods from open string theory. An analysis of the zero mode structure of such instantons shows that so-called O(1)-instantons [14 -17] can

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“…The other one uses ensembles of explicitly calculated models at specific points in the landscape to compute frequency distributions of their properties, which eventually can be extrapolated to a wider class of compactifications. This is the approach followed here; in particular, we will consider frequency distributions of properties of intersecting brane models [6,[13][14][15][16][17][18][19][20]. Other corners of the landscape that have been studied using a similar method include Gepner models [21][22][23][24], which we will use later to compare results on correlations, and orbifold compactifications of heterotic string theory [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Statistics in the landscape of intersecting brane models

Gmeiner

2008

Eur. Phys. J. C

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An approach towards a statistical survey of fourdimensional supersymmetric vacua in the string theory landscape is described and illustrated with three examples of ensembles of intersecting D-brane models. The question whether it is conceivable to make predictions based on statistical distributions is discussed. Especially interesting in this context are possible correlations between low energy observables. As an example we look at correlations between properties of the gauge sector of intersecting D-brane models and Gepner model constructions.

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Statistics ofSU(5)D-brane models on a type II orientifold

Cited by 22 publications

References 18 publications

Gauge sector statistics of intersecting D‐brane models

Gauge sector statistics of intersecting D‐brane models

Nonperturbative Yukawa Couplings from String Instantons

Statistics in the landscape of intersecting brane models

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