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This paper presents a rigorous numerical framework for computing multiple solutions of semilinear elliptic problems by spatiotemporal high-index saddle dynamics (HiSD), which extends the traditional HiSD to the continuous-in-space setting,…

数值分析 · 数学 2026-01-14 Lei Zhang , Xiangcheng Zheng , Shangqin Zhu

We study global aspects of complete, non-singular asymptotically locally AdS spacetimes solving the vacuum Einstein equations whose conformal infinity is an arbitrary globally stationary spacetime. It is proved that any such solution which…

高能物理 - 理论 · 物理学 2009-11-11 Michael T. Anderson

Stochastic partial differential equations (SPDEs) are the mathematical tool of choice for modelling spatiotemporal PDE-dynamics under the influence of randomness. Based on the notion of mild solution of an SPDE, we introduce a novel neural…

机器学习 · 计算机科学 2022-09-27 Cristopher Salvi , Maud Lemercier , Andris Gerasimovics

This note is devoted to the study of the classical solutions on the bosonic string with euclidean world-sheet in AdS(5)xS(5). We generalize solutions presented in arXiv:0707.4254 [hep-th] to the case where we include the dynamics of the…

高能物理 - 理论 · 物理学 2009-11-13 J. Kluson

We make a general Killing spinor analysis of a particular $D=3, \, N=4$ gauged supergravity that comes from a consistent S$^3$ reduction of $D=6, \, N=(1,0)$ supergravity coupled to a single chiral tensor multiplet. We then focus on its…

高能物理 - 理论 · 物理学 2024-11-01 Nihat Sadik Deger , Ceren Ayse Deral , Aritra Saha , Özgür Sarıoğlu

This thesis is essentially organized in two parts: braneworlds and higher dimensional black objects with a cosmological constant. We present solitonic braneworld models where the brane are inflating and with the presence of a cosmological…

高能物理 - 理论 · 物理学 2010-08-11 Térence Delsate

This paper is devoted to constructing and studying exactly solvable dynamical systems in discrete time obtained from some algebraic operations on matrices, to reductions of such systems leading to classical field theory models in…

solv-int · 物理学 2008-02-03 I. G. Korepanov

We examine the leading Regge string states relevant for semi-classical spinning string solutions. Using elementary RNS techniques, quadratic terms in an effective lagrangian are constructed which describe massive NSNS strings in a…

高能物理 - 理论 · 物理学 2008-11-26 Benjamin A. Burrington , James T. Liu

We are considering the semi-classical string soliton solution of Gubser, Klebanov and Polyakov which represents highly excited states on the leading Regge trajectory, with large spin in $AdS_5$. A prescription relates this soliton solution…

高能物理 - 理论 · 物理学 2015-05-20 George Georgiou , George Savvidy

The arcane ADHM construction of Yang-Mills instantons can be very naturally understood in the framework of D-brane dynamics in string theory. In this point-of-view, the mysterious auxiliary symmetry of the ADHM construction arises as a…

高能物理 - 理论 · 物理学 2007-05-23 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze

In this paper, rotating strings in three directions of $AdS_4 \times \mathbb{CP}^3$ geometry are studied; its divergent energy limit, and conserved charges are also determined. An interpretation of these configurations as either giant…

高能物理 - 理论 · 物理学 2011-10-11 Sergio Giardino , Hector L. Carrión

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

高能物理 - 理论 · 物理学 2020-11-11 Dibakar Roychowdhury

We set up, purely in A-model terms, a novel formalism for the global solution of the open and closed topological A-model on toric Calabi-Yau threefolds. The starting point is to build on recent progress in the mathematical theory of open…

高能物理 - 理论 · 物理学 2015-05-27 Andrea Brini

This work explores the (non)-integrability and chaotic dynamics of classical strings in the background of a D3-brane with a non-commutative parameter, within the framework of the AdS/CFT correspondence. Using the Polyakov action, we derive…

高能物理 - 理论 · 物理学 2025-06-23 Rashmi R. Nayak , Kamal L. Panigrahi , Manoranjan Samal , Balbeer Singh

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We…

高能物理 - 理论 · 物理学 2009-11-07 Machiko Hatsuda , Kiyoshi Kamimura

Dynamical systems have a wide range of applications in mechanics, electrical engineering, chemistry, and so on. In this work, we propose the adaptive spectral Koopman (ASK) method to solve nonlinear autonomous dynamical systems. This novel…

动力系统 · 数学 2023-06-09 Bian Li , Yi-An Ma , J. Nathan Kutz , Xiu Yang

We discuss a particular stringy modular cosmology with two axion fields in seven space-time dimensions, decomposable as a time and two flat three-spaces. The effective equations of motion for the problem are those of the $SU(3)$ Toda…

高能物理 - 理论 · 物理学 2009-10-30 Nemanja Kaloper

In this paper, we explore momentum space approach to computing scalar amplitudes in Anti-de Sitter space. We show that the algorithm derived by Arkani-Hamed, Benincasa, and Postnikov for cosmological wavefunctions can be straightforwardly…

高能物理 - 理论 · 物理学 2020-07-01 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

In this Letter, we explore nonrelativistic string solutions in various subsectors of the $ SU(1,2|3) $ SMT strings that correspond to different spin groups and satisfy the respective BPS bounds. In particular, we carry out an explicit…

高能物理 - 理论 · 物理学 2021-07-14 Dibakar Roychowdhury

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

高能物理 - 理论 · 物理学 2016-04-19 Rakibur Rahman , Massimo Taronna