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We present the sliding basis computational framework to automatically synthesize heterogeneous (graded or discrete) material fields for parts designed using constrained optimization. Our framework uses the fact that any spatially varying…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Nurcan Gecer Ulu , Svyatoslav Korneev , Erva Ulu , Saigopal Nelaturi

We review the details of unconstrained Lagrangian formulations for Bose particles propagated on an arbitrary dimensional flat space-time and described by the unitary irreducible integer higher-spin representations of the Poincare group…

High Energy Physics - Theory · Physics 2012-07-26 Alexander A. Reshetnyak

We discuss some issues related to spontaneous N=2-> N=1 supersymmetry breaking. In particular, we state a set of geometrical conditions which are necessary that such a breaking occurs. Furthermore, we discuss the low energy N=1 effective…

High Energy Physics - Theory · Physics 2007-05-23 Jan Louis

It is well-known that a Lagrangian induces a compatible presymplectic form on the equation manifold (stationary surface, understood as a submanifold of the respective jet-space). Given an equation manifold and a compatible presymplectic…

High Energy Physics - Theory · Physics 2016-06-29 Maxim Grigoriev

We present a discussion of black 2-branes coupled to the fields of the universal hypermultiplet of ungauged N=2 supergravity theory in five dimensions. Using a general ansatz dependent on a spherically symmetric harmonic function, we show…

High Energy Physics - Theory · Physics 2014-11-18 Moataz H. Emam

We present an exact analytic class of solutions for a system of two membranes in eleven-dimensional supergravity. One brane in the system is completely localized along the overall and relative transverse coordinates while the other brane in…

High Energy Physics - Theory · Physics 2015-06-16 A. M. Ghezelbash , R. Oraji

The first part of the article is, in fact, the classical Routh method delivered in the language of contemporary theory of Lagrangian systems. But the Routh method deals only with concrete equations and, therefore, can be applied only in the…

Dynamical Systems · Mathematics 2014-01-20 Mikhail P. Kharlamov

In this doctoral thesis a model of many orthogonally commonly intersecting delocalized branes with neither harmonic gauge nor any other extra conditions is discussed. Further a method of solving equations of motion of the model is given. It…

High Energy Physics - Theory · Physics 2007-05-23 Marcin P. Flak

We present an action functional and derive equations of motion for a coupled system of a bosonic Dp--brane and an open string ending on the Dp-brane. With this example we address the key issues of the recently proposed method…

High Energy Physics - Theory · Physics 2016-11-23 Igor Bandos , Wolfgang Kummer

We derive the spacetime superalgebras explicitly from ``test'' M-brane actions in M-brane backgrounds to the lowest order in $\theta$ via canonical formalism, and discuss various BPS saturated configurations on the basis of their central…

High Energy Physics - Theory · Physics 2009-10-31 Takeshi Sato

This paper is devoted to the theoretical and numerical investigation of an augmented Lagrangian method for the solution of optimization problems with geometric constraints. Specifically, we study situations where parts of the constraints…

Optimization and Control · Mathematics 2022-04-20 Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz , Gerd Wachsmuth

The classical superconformal actions of branes in adS superspaces have a closed form depending on a matrix $M^2$ quadratic in fermions, as found in hep-th/9805217. One can gauge-fix the local $\kappa$-symmetry using the Killing spinors of…

High Energy Physics - Theory · Physics 2007-05-23 Renata Kallosh

This article provides a self contained overview of the geometry and dynamics of relativistic brane models, of the category that includes point particle, string, and membrane representations for phenomena that can be considered as being…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brandon Carter

This is a note on the coupled supergravity-tachyon matter system, which has been earlier proposed as a candidate for the effective space-time description of S-branes. In particular, we study an ansatz with the maximal ISO(p+1)xSO(8-p,1)…

High Energy Physics - Theory · Physics 2009-11-10 Alex Buchel , Johannes Walcher

Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear differential equations with certain boundary conditions…

High Energy Physics - Theory · Physics 2009-11-07 M. A. Grebeniuk , V. D. Ivashchuk , S. -W. Kim

We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter…

High Energy Physics - Theory · Physics 2009-07-09 Csaba Csaki , Joshua Erlich , Timothy J. Hollowood , Yuri Shirman

We consider bound states of D-branes wrapped around cycles with non-trivial fundamental groups of finite order. We find a new mechanism for binding D-branes by turning on flat discrete abelian and non-abelian gauge fields on their…

High Energy Physics - Theory · Physics 2008-11-26 R. Gopakumar , C. Vafa

Suppose a Lagrangian is constructed from its fields and their derivatives. When the field configuration is a distribution, it is unambiguously defined as the limit of a sequence of smooth fields. The Lagrangian may or may not be a…

General Relativity and Quantum Cosmology · Physics 2010-01-15 E. Gravanis , S. Willison

We construct the manifestly gauge invariant effective Lagrangian in 3+1 dimensions describing the Standard Model in 4+1 dimensions, following the transverse lattice technique. We incorporate split generation fermions and we explore…

High Energy Physics - Theory · Physics 2009-11-07 Hsin-Chia Cheng , Christopher T. Hill , Stefan Pokorski , Jing Wang

The block-orthogonal generalization of the Majumdar-Papapetrou type solutions for the sigma-model studied earlier are obtained and corresponding solutions with p-branes are considered. The existence of solutions and the number of…

High Energy Physics - Theory · Physics 2009-10-31 V. D. Ivashchuk , V. N. Melnikov