A GLSM realization of derived equivalence in $U(1) \times U(2)$ models

التفاصيل البيبلوغرافية
العنوان: A GLSM realization of derived equivalence in $U(1) \times U(2)$ models
المؤلفون: Guo, Jirui, Lin, Ban, Zou, Hao
سنة النشر: 2023
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics, Mathematics - Algebraic Geometry
الوصف: The paper [arXiv:1506.06999] has studied a derived equivalence between two Calabi-Yau fivefolds. In this paper, we propose a new understanding from the viewpoint of the GLSM, by realizing these two Calabi-Yau fivefolds in two different phases of a $U(1)\times U(2)$ GLSM. We find that this method can be generalized to construct other examples of derived equivalence. The functor for the equivalence can be realized by the brane transport along a path across different phases. To implement the brane transport, we compute the small window categories for anomalous $U(2)$ theories, extending previous results on window categories.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.05740
رقم الأكسشن: edsarx.2312.05740
قاعدة البيانات: arXiv