Effective Batalin-Vilkovisky quantization and geometric applications
Quantum Algebra
2017-09-05 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We explain the effective renormalization method of quantum field theory in the Batalin-Vilkovisky formalism and illustrate its mathematical applications by three geometric examples: (1) Topological quantum mechanics and algebraic index, (2) Elliptic curve and higher genus mirror symmetry, (3) Calabi-Yau geometry and integrable hierarchy. This note is an expansion of author's talk at ICCM 2016.
Keywords
Cite
@article{arxiv.1709.00669,
title = {Effective Batalin-Vilkovisky quantization and geometric applications},
author = {Si Li},
journal= {arXiv preprint arXiv:1709.00669},
year = {2017}
}
Comments
20 pages, 4 figures. Comments are welcome