| 期刊全称 | Branes and DAHA Representations | | 影响因子2023 | Sergei Gukov,Peter Koroteev,Ingmar Saberi | | 视频video | | | 发行地址 | Bridges the gap between geometry and representation theory.Gives a description of new indecomposable finite-dimensional representations of DAHA.Presents tensor categories for line operators.This book | | 学科分类 | SpringerBriefs in Mathematical Physics | | 图书封面 |  | | 影响因子 | In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which comes from string theory, is explored in the book..This open access book provides a detailed description of the geometric approach to the representation theory of the double affine Hecke algebra (DAHA) of rank one. Spherical DAHA is known to arise from the deformation quantization of the moduli space of SL(2,C) flat connections on the punctured torus. The authors demonstrate the study of the topological A-model on this moduli space and establish a correspondence between Lagrangian branes of the A-model and DAHA modules..The finite-dimensional DAHA representations are shown to be in one-to-one correspondence with the compact Lagrangian branes. Along the way, the authors discover new finite-dimensional indecomposable representations. They proceed to embed the A-model story in an M-theory brane con | | Pindex | Book‘‘‘‘‘‘‘‘ 2023 |
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发表于 2025-3-21 16:28:03
