Effective Batalin-Vilkovisky quantization and geometric applications
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2017
- arXiv:
- arXiv:1709.00669
- Bibcode:
- 2017arXiv170900669L
- Keywords:
-
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 20 pages, 4 figures. Comments are welcome