Quasimap theory and its applications to mirror symmetry = 콰지맵 이론과 거울 대칭 이론으로의 응용에 대한 연구

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We dealt with quasimap theory and its applications to mirror symmetry. Especially, we suggested the way how to make conjectural formula explicitly, which is so called ``wall crossing formula", by accounting for the relationship between Gromov-Witten theory and quasimap theory. Also, we explained the relationship between Landau-Ginzburg model and quasimap thoery for known cases. Using this result, we calculated the genus 1 Gromov-Witten invariants for some Calabi-Yau varieties. Finally, we showed that how A-twisted gauged linear sigma model and quasimap theory are related and some correlators defined separately in both theories are matched in some cases. The matched correlators are well-known quatity, so called Yukawa coupling.
Advisors
Suh, Dong Youpresearcher서동엽researcher
Description
한국과학기술원 :수리과학과,
Publisher
한국과학기술원
Issue Date
2017
Identifier
325007
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 수리과학과, 2017.8,[ii, 86 p. :]

Keywords

Quasimap theory▼amirror symmetry▼aGromov-Witten theory▼aLandau-Ginzburg model▼agauged linear sigma model▼aYukawa coupling; 콰지맵 이론▼a거울 대칭 이론▼a그로모프-위튼 이론▼a란다우-긴즈버그 모형▼a게이지 선형 시그마 모형▼a유카와 커플링

URI
http://hdl.handle.net/10203/241910
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=718848&flag=dissertation
Appears in Collection
MA-Theses_Ph.D.(박사논문)
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