Scholarlink

Exponential networks were introduced in Eager et al. (JHEP 08:063, 2017) by Eager, Selmani, and Walcher as a tool to study (framed) BPS B-branes on toric affine Calabi–Yau threefolds X, extending both the construction of spectral networks in 4d \(\mathcal N=2\) gauge theories and the geometric approach to BPS states pioneered in Klemm et al. (Nucl Phys B 477:746–766, 1996). By mirror symmetry, BPS B-branes on X, i.e. coherent sheaves on X, correspond to special Lagrangian submanifolds in the mirror Y  of X. In the framework of local mirror symmetry, this correspondence reduces further to the study of calibrated Lagrangian cycles in the mirror curve \(\Sigma \subset (\mathbb {C}^*)^2\) of X. Upon choosing a projection \(\pi \colon \Sigma \to \mathbb {C}^*\) , one then studies saddle trajectories on \(\mathbb {C}^*\) , arising as the images under \(\pi \) of calibrated cycles in \(\Sigma \) . It is precisely in this setting that exponential networks emerge.

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

Exponential Networks

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2026年

查看全文
  • Clarence Kineider,
  • Georgios Kydonakis,
  • Eugen Rogozinnikov,
  • Valdo Tatitscheff,
  • Alexander Thomas

摘要

Exponential networks were introduced in Eager et al. (JHEP 08:063, 2017) by Eager, Selmani, and Walcher as a tool to study (framed) BPS B-branes on toric affine Calabi–Yau threefolds X, extending both the construction of spectral networks in 4d \(\mathcal N=2\) gauge theories and the geometric approach to BPS states pioneered in Klemm et al. (Nucl Phys B 477:746–766, 1996). By mirror symmetry, BPS B-branes on X, i.e. coherent sheaves on X, correspond to special Lagrangian submanifolds in the mirror Y  of X. In the framework of local mirror symmetry, this correspondence reduces further to the study of calibrated Lagrangian cycles in the mirror curve \(\Sigma \subset (\mathbb {C}^*)^2\) of X. Upon choosing a projection \(\pi \colon \Sigma \to \mathbb {C}^*\) , one then studies saddle trajectories on \(\mathbb {C}^*\) , arising as the images under \(\pi \) of calibrated cycles in \(\Sigma \) . It is precisely in this setting that exponential networks emerge.