scholarly journals Moduli stabilisation and the statistics of SUSY breaking in the landscape

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Igor Broeckel ◽  
Michele Cicoli ◽  
Anshuman Maharana ◽  
Kajal Singh ◽  
Kuver Sinha
Keyword(s):  
Supersymmetry Breaking ◽  
Power Law ◽  
Complex Structure ◽  
Susy Breaking ◽  
Power Law Distribution ◽  
High Scale ◽  
The Past ◽  
Uniform Distributions ◽  
Logarithmic Distribution ◽  
Breaking Scale

Abstract The statistics of the supersymmetry breaking scale in the string landscape has been extensively studied in the past finding either a power-law behaviour induced by uniform distributions of F-terms or a logarithmic distribution motivated by dynamical supersymmetry breaking. These studies focused mainly on type IIB flux compactifications but did not systematically incorporate the Kähler moduli. In this paper we point out that the inclusion of the Kähler moduli is crucial to understand the distribution of the supersymmetry breaking scale in the landscape since in general one obtains unstable vacua when the F-terms of the dilaton and the complex structure moduli are larger than the F- terms of the Kähler moduli. After taking Kähler moduli stabilisation into account, we find that the distribution of the gravitino mass and the soft terms is power-law only in KKLT and perturbatively stabilised vacua which therefore favour high scale supersymmetry. On the other hand, LVS vacua feature a logarithmic distribution of soft terms and thus a preference for lower scales of supersymmetry breaking. Whether the landscape of type IIB flux vacua predicts a logarithmic or power-law distribution of the supersymmetry breaking scale thus depends on the relative preponderance of LVS and KKLT vacua.

scholarly journals Winding uplifts and the challenges of weak and strong SUSY breaking in AdS

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Arthur Hebecker ◽  
Sascha Leonhardt
Keyword(s):  
Complex Structure ◽  
Susy Breaking ◽  
Technical Level ◽  
De Sitter ◽  
Large Complex ◽  
Breaking Scale ◽  
Large Complex Structure

Abstract We discuss the problem of metastable SUSY breaking in the landscape. While this is clearly crucial for the various de Sitter proposals, it is also interesting to consider the SUSY breaking challenge in the AdS context. For example, it could be that a stronger form of the non-SUSY AdS conjecture holds: it would forbid even metastable non-SUSY AdS in cases where the SUSY-breaking scale is parametrically above/below the AdS scale. At the technical level, the present paper proposes to break SUSY using the multi-cosine-shaped axion potentials which arise if a long winding trajectory of a ‘complex-structure axion’ appears in the large-complex-structure limit of a Calabi-Yau orientifold. This has been studied in the context of ‘Winding Inflation’, but the potential for SUSY breaking has not been fully explored. We discuss the application to uplifting LVS vacua, point out the challenges which one faces in the KKLT context, and consider the possibility of violating the non-SUSY AdS conjecture in the type-IIA setting of DGKT.

Test Investigation of Velocity Distribution Considering Snow Particles Participating

2010 ◽  
Vol 439-440 ◽  
pp. 1343-1348
Author(s):  
Ke Qin Yan ◽  
Xuan Yi Zhou ◽  
Ming Gu
Keyword(s):  
Wind Tunnel ◽  
Velocity Profile ◽  
Power Law ◽  
Turbulence Intensity ◽  
Wind Tunnel Test ◽  
Test Results ◽  
Power Law Distribution ◽  
Mean Velocity ◽  
Logarithmic Distribution ◽  
Test Investigation

This paper presents the fitting expressions of mean velocity profile and turbulence intensity for wind-snow coupling conditions. Different materials were adopted to simulate the roughness of saltation snow particles to get the distribution of wind velocity in the simple wind tunnel. Test results indicate that velocity profile obeys the logarithmic distribution; the turbulence intensity obeys power law distribution. The influence height of saltation snow particles to the velocity profile limited to 10 cm above from the bed surface.

scholarly journals Categorizing SHR and WKY rats by chi2 algorithm and decision tree

2020 ◽  
Author(s):  
Ping-Rui Tsai ◽  
Kun-Huang Chen ◽  
Tzay-Ming Hong ◽  
Fu-Nien Wang ◽  
Teng-Yi Huang
Keyword(s):  
Graph Theory ◽  
Decision Tree ◽  
Mental Disorder ◽  
Power Law ◽  
Brain Network ◽  
Power Law Distribution ◽  
Mentally Disordered ◽  
Wky Rats ◽  
The Past ◽  
Shr And Wky Rats

ABSTRACTIn the past two decades neuroscience has offered many popular methods for the analysis of mental disorder, such as seed-based analysis, ICA, and graph methods. They are widely used in the study of brain network. We offer a new procedure that can simplify the analysis and has a high ROC index over 0.9. This method uses the graph theory to build a connectivity network, which is characterized by degrees and measures the number of effective links for each voxel. When the degree is ranked from low to high, the network equation can be fit by the power-law distribution. It has been proposed that distinct and yet robust exponents of the power law can differentiate human behavior. Using the mentally disordered SHR and WKY rats as samples, we employ chi2 algorithm and Decision Tree to classify different states of mental disorder by analyzing different traits in degree of connectivity.

scholarly journals Random Graphs' Robustness in Random Environment

2017 ◽  
Vol 46 (3-4) ◽  
pp. 89-98
Author(s):  
Marina Leri ◽  
Yury Pavlov
Keyword(s):  
Random Graphs ◽  
Power Law ◽  
Random Environment ◽  
Degree Distribution ◽  
Vertex Degree ◽  
Power Law Distribution ◽  
Destruction Process ◽  
Random Breakdown ◽  
Uniform Distributions ◽  
Vertex Degrees

We consider configuration graphs the vertex degrees of which are independent and  follow the power-law distribution. Random graphs dynamics takes place in a random  environment with the parameter of vertex degree distribution following  uniform distributions on finite fixed intervals. As the number of vertices tends  to infinity the limit distributions of the maximum vertex degree and the number  of vertices with a given degree were obtained. By computer simulations we study  the robustness of those graphs from the viewpoints of link saving and node survival  in the two cases of the destruction process: the ``targeted attack'' and the  ``random breakdown''. We obtained and compared the results under the conditions that  the vertex degree distribution was averaged with respect to the distribution of the  power-law parameter or that the values of the parameter were drawn from the uniform  distribution separately for each vertex.

scholarly journals The structure of co-publications multilayer network

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Ghislain Romaric Meleu ◽  
Paulin Yonta Melatagia
Keyword(s):  
Power Law ◽  
Degree Distribution ◽  
Preferential Attachment ◽  
Small World ◽  
Generation Model ◽  
Small World Network ◽  
Power Law Distribution ◽  
Multilayer Networks ◽  
Multilayer Network ◽  
Scientific Papers

AbstractUsing the headers of scientific papers, we have built multilayer networks of entities involved in research namely: authors, laboratories, and institutions. We have analyzed some properties of such networks built from data extracted from the HAL archives and found that the network at each layer is a small-world network with power law distribution. In order to simulate such co-publication network, we propose a multilayer network generation model based on the formation of cliques at each layer and the affiliation of each new node to the higher layers. The clique is built from new and existing nodes selected using preferential attachment. We also show that, the degree distribution of generated layers follows a power law. From the simulations of our model, we show that the generated multilayer networks reproduce the studied properties of co-publication networks.

scholarly journals Power-law behavior of transcription factor dynamics at the single-molecule level implies a continuum affinity model

2021 ◽  
Author(s):  
David A Garcia ◽  
Gregory Fettweis ◽  
Diego M Presman ◽  
Ville Paakinaho ◽  
Christopher Jarzynski ◽  
...  
Keyword(s):  
Transcription Factor ◽  
Single Molecule ◽  
Power Law ◽  
Dwell Time ◽  
Specific Binding ◽  
Power Law Distribution ◽  
Single Molecule Level ◽  
Binding Behavior ◽  
Chromatin Template ◽  
Nuclear Domains

Abstract Single-molecule tracking (SMT) allows the study of transcription factor (TF) dynamics in the nucleus, giving important information regarding the diffusion and binding behavior of these proteins in the nuclear environment. Dwell time distributions obtained by SMT for most TFs appear to follow bi-exponential behavior. This has been ascribed to two discrete populations of TFs—one non-specifically bound to chromatin and another specifically bound to target sites, as implied by decades of biochemical studies. However, emerging studies suggest alternate models for dwell-time distributions, indicating the existence of more than two populations of TFs (multi-exponential distribution), or even the absence of discrete states altogether (power-law distribution). Here, we present an analytical pipeline to evaluate which model best explains SMT data. We find that a broad spectrum of TFs (including glucocorticoid receptor, oestrogen receptor, FOXA1, CTCF) follow a power-law distribution of dwell-times, blurring the temporal line between non-specific and specific binding, suggesting that productive binding may involve longer binding events than previously believed. From these observations, we propose a continuum of affinities model to explain TF dynamics, that is consistent with complex interactions of TFs with multiple nuclear domains as well as binding and searching on the chromatin template.

scholarly journals Unification bounds on the possible N = 2 supersymmetry-breaking scale

1997 ◽  
Vol 399 (1-2) ◽  
pp. 92-96 ◽  
Author(s):  
I. Antoniadis ◽  
J. Ellis ◽  
G.K. Leontaris
Keyword(s):  
Supersymmetry Breaking ◽  
Breaking Scale

scholarly journals Explaining the power-law distribution of human mobility through transportationmodality decomposition

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Kai Zhao ◽  
Mirco Musolesi ◽  
Pan Hui ◽  
Weixiong Rao ◽  
Sasu Tarkoma
Keyword(s):  
Power Law ◽  
Human Mobility ◽  
Power Law Distribution

MASS FUNCTION OF HALOS: A NEW ANALYTICAL APPROACH

2004 ◽  
Vol 13 (07) ◽  
pp. 1345-1349 ◽  
Author(s):  
JOSÉ A. S. LIMA ◽  
LUCIO MARASSI
Keyword(s):  
Power Law ◽  
Free Parameter ◽  
Analytical Approach ◽  
Mass Function ◽  
New Method ◽  
Power Law Distribution ◽  
The Press ◽  
The Universe ◽  
Special Case

A generalization of the Press–Schechter (PS) formalism yielding the mass function of bound structures in the Universe is given. The extended formula is based on a power law distribution which encompasses the Gaussian PS formula as a special case. The new method keeps the original analytical simplicity of the PS approach and also solves naturally its main difficult (the missing factor 2) for a given value of the free parameter.

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