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The paper deals with the problem of reconstructing the topological structure of a network of dynamical systems. A distance function is defined in order to evaluate the "closeness" of two processes and a few useful mathematical properties…

Chaotic Dynamics · Physics 2008-12-02 Donatello W. Materassi , Giacomo W. Innocenti

Heterotic string theory compactified on a K3 surface times T^2 is believed to be equivalent to type II string theory on a suitable Calabi-Yau threefold. In particular, it must share the same hypermultiplet moduli space. Building on the…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Boris Pioline

We discuss the moduli-dependent couplings of the higher derivative F-terms $(\Tr W^2)^{h-1}$, where $W$ is the gauge N=1 chiral superfield. They are determined by the genus zero topological partition function $F^{(0,h)}$, on a world-sheet…

High Energy Physics - Theory · Physics 2010-04-05 I. Antoniadis , K. S. Narain , T. R. Taylor

String theory in 4 dimensions has the unique feature that a topological term, the oriented self-intersection number, can be added to the usual action. It has been suggested that the corresponding theory of random surfaces wold be free from…

High Energy Physics - Theory · Physics 2009-10-28 P. Teotonio-Sobrinho

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking…

High Energy Physics - Theory · Physics 2020-11-03 John C. Donahue , Sergei Dubovsky

String theory, if it describes nature, is probably strongly coupled. In light of recent developments in string duality, this means that the ``real world'' should correspond to a region of the classical moduli space which admits no weak…

High Energy Physics - Theory · Physics 2009-10-30 Michael Dine , Yuri Shirman

The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two…

High Energy Physics - Theory · Physics 2008-11-26 David J. Gross , Washington Taylor

We describe two major string topology operations, the Chas-Sullivan product and the Goresky-Hingston coproduct, from geometric and algebraic perspectives. The geometric construction uses Thom-Pontrjagin intersection theory while the…

Algebraic Topology · Mathematics 2025-01-06 Florian Naef , Manuel Rivera , Nathalie Wahl

We report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. We consider generic open graphs and show that any cycle leads…

Chaotic Dynamics · Physics 2015-06-12 Sven Gnutzmann , Holger Schanz , Uzy Smilansky

There are at present two known string theories in $(2,2)$ dimensions. One of them is the well known $N=2$ string, and the other one is a more recently constructed $N=1$ spacetime supersymmetric string. They are both based on certain…

High Energy Physics - Theory · Physics 2010-04-06 H. Lu , C. N. Pope , E. Sezgin

This presentation is intended to give a flavour of the physics to be studied and discovered by exploiting the interface between string theory, M-theory and field theory provided by the dynamics of extended objects called `branes', and their…

High Energy Physics - Theory · Physics 2007-05-23 Clifford V. Johnson

A string model with dynamical metric and torsion is proposed. The geometry of the string is described by an effective Lagrangian for the scalar and vector fields. The path integral quantization of the string is considered.

High Energy Physics - Theory · Physics 2015-06-26 M. O. Katanaev , I. V. Volovich

Given a 3D surface defined by an elevation function on a 2D grid as well as non-spatial features observed at each pixel, the problem of surface segmentation aims to classify pixels into contiguous classes based on both non-spatial features…

Computer Vision and Pattern Recognition · Computer Science 2020-08-27 Wenchong He , Arpan Man Sainju , Zhe Jiang , Da Yan

This paper solves the problem of computing conformal structures of general 2-manifolds represented as triangle meshes. We compute conformal structures in the following way: first compute homology bases from simplicial complex structures,…

Graphics · Computer Science 2007-05-23 Xianfeng Gu , Shing-Tung Yau

String theoretical ideas might be relevant for particle physics model building. Ideally one would hope to find a unified theory of all fundamental interactions. There are only few consistent string theories in D=10 or 11 space-time…

High Energy Physics - Theory · Physics 2015-06-19 Hans Peter Nilles , Patrick K. S. Vaudrevange

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

The original models of causal dynamical triangulations construct space-time by arranging a set of simplices in layers separated by a fixed time-like distance. The importance of the foliation structure in the 2+1 dimensional model is studied…

High Energy Physics - Theory · Physics 2009-11-11 Tomasz Konopka

A geometric string solution has background fields in overlapping coordinate patches related by diffeomorphisms and gauge transformations, while for a non-geometric background this is generalised to allow transition functions involving…

High Energy Physics - Theory · Physics 2009-11-10 C M Hull

We study a configuration of a parallel F- (fundamental) and D- string in IIB string theory by considering its T-dual configuration in the matrix model description of M-theory. We show that certain non-perturbative features of string theory…

High Energy Physics - Theory · Physics 2009-10-30 N. D. Hari Dass , B. Sathiapalan

A few observations concerning topological string theories at the string-tree level are presented: (1) The tree-level, large phase space solution of an arbitrary model is expressed in terms of a variational problem, with an ``action'' equal,…

High Energy Physics - Theory · Physics 2007-05-23 Robert J. Budzynski
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