Scholarlink

<p>We investigate canonically quantized open string solutions associated to the analytically continued action for the recently proposed tropical limit of topological A-type models, <i>tropological sigma models</i>, with various tropical versions of boundary conditions. These solutions naturally give rise to a non-relativistic counterpart of branes, which we name <i>tropical branes</i>. We provide a worldsheet description of these tropical branes. We find that instead of the usual string spectrum of infinitely many coupled harmonic oscillators, the Hamiltonian for tropical branes describes an infinite tower of increasingly massive asymptotic string states. This results supports the claim that a tropicalization of the worldsheet formulation of string theory gives a viable description for the asymptotic behavior of string amplitudes and their non-equilibrium extensions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Tropical branes

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年6月3日

查看全文
  • Emil Albrychiewicz,
  • Andrés Franco Valiente,
  • Vi Hong

摘要

We investigate canonically quantized open string solutions associated to the analytically continued action for the recently proposed tropical limit of topological A-type models, tropological sigma models, with various tropical versions of boundary conditions. These solutions naturally give rise to a non-relativistic counterpart of branes, which we name tropical branes. We provide a worldsheet description of these tropical branes. We find that instead of the usual string spectrum of infinitely many coupled harmonic oscillators, the Hamiltonian for tropical branes describes an infinite tower of increasingly massive asymptotic string states. This results supports the claim that a tropicalization of the worldsheet formulation of string theory gives a viable description for the asymptotic behavior of string amplitudes and their non-equilibrium extensions.