Renormalization Method and Mirror Symmetry

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
→
Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
→
Переглянути статтю

Renormalization Method and Mirror Symmetry

Інший ID: 2010 Mathematics Subject Classification: 14N35; 58A14; 81T15; 81T70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.101

URI: http://dspace.nbuv.gov.ua/handle/123456789/149191

Посилання: Renormalization Method and Mirror Symmetry / S. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ.

Підтримка: This paper is a contribution to the Special Issue “Mirror Symmetry and Related Topics”. The full collection is available at http://www.emis.de/journals/SIGMA/mirror symmetry.html.

Дата: 2012

Завантажень: 239

Renormalization Method and Mirror Symmetry

Анотація:

This is a brief summary of our works [arXiv:1112.4063, arXiv:1201.4501] on constructing higher genus B-model from perturbative quantization of BCOV theory. We analyze Givental's symplectic loop space formalism in the context of B-model geometry on Calabi-Yau manifolds, and explain the Fock space construction via the renormalization techniques of gauge theory. We also give a physics interpretation of the Virasoro constraints as the symmetry of the classical BCOV action functional, and discuss the Virasoro constraints in the quantum theory.

Показати повний запис статті