scholarly journals Analyticity inθon the lattice and the large volume limit of the topological susceptibility

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
B. Allés ◽  
M. D'Elia ◽  
A. Di Giacomo
Keyword(s):  
Large Volume ◽  
Volume Limit ◽  
Large Volume Limit

scholarly journals Lepton flavor model with modular A4 symmetry in large volume limit

2020 ◽  
Vol 811 ◽  
pp. 135956
Author(s):  
Takehiko Asaka ◽  
Yongtae Heo ◽  
Takahiro Yoshida
Keyword(s):  
Large Volume ◽  
Lepton Flavor ◽  
Volume Limit ◽  
Large Volume Limit

scholarly journals LOCAL D3/D7 μ-SPLIT SUSY, 125 GeV HIGGS AND LARGE VOLUME RICCI-FLAT SWISS-CHEESE METRICS: A BRIEF REVIEW

2012 ◽  
Vol 27 (11) ◽  
pp. 1230013 ◽  
Author(s):  
AALOK MISRA
Keyword(s):  
Large Volume ◽  
Recent Progress ◽  
Swiss Cheese ◽  
Ricci Flat ◽  
Volume Limit ◽  
Kähler Potential ◽  
Split Supersymmetry ◽  
Type Iib String Theory ◽  
Made In ◽  
Large Volume Limit

In this paper, we review briefly recent progress made in realizing local(ized around a mobile spacetime filling D3-brane in) D3/D7 μ-split Supersymmetry in (the large volume limit of Type IIB) String Theory (compactified on Swiss-Cheese Calabi–Yau orientifolds) as well as obtaining a 125 GeV (light) Higgs in the same setup. We also discuss obtaining the geometric Kähler potential (and hence the Ricci-flat metric) for the Swiss-Cheese Calabi–Yau in the large volume limit using the Donaldson's algorithm and intuition from GLSM-based calculations — we present new results for Swiss-Cheese Calabi–Yau (used in the setup) metrics at points finitely away from the "big" divisor.

scholarly journals Stretching Convex Domains to Capture Many Lattice Points

2018 ◽  
Vol 2020 (10) ◽  
pp. 2918-2951 ◽  
Author(s):  
Nicholas F Marshall
Keyword(s):  
Fourier Analysis ◽  
Convex Domain ◽  
Large Volume ◽  
Lattice Points ◽  
Convex Domains ◽  
Coordinate Hyperplane ◽  
Analysis Techniques ◽  
Volume Limit ◽  
Gauss Circle Problem ◽  
Large Volume Limit

Abstract We consider an optimal stretching problem for strictly convex domains in $\mathbb{R}^d$ that are symmetric with respect to each coordinate hyperplane, where stretching refers to transformation by a diagonal matrix of determinant 1. Specifically, we prove that the stretched convex domain which captures the most positive lattice points in the large volume limit is balanced: the (d − 1)-dimensional measures of the intersections of the domain with each coordinate hyperplane are equal. Our results extend those of Antunes and Freitas, van den Berg, Bucur and Gittins, Ariturk and Laugesen, van den Berg and Gittins, and Gittins and Larson. The approach is motivated by the Fourier analysis techniques used to prove the classical $\#\{(i,j) \in \mathbb{Z}^2 : i^2 +j^2 \le r^2 \} =\pi r^2 + \mathcal{O}(r^{2/3})$ result for the Gauss circle problem.

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