Duality and algebra of loop operators in supersymmetric field theories: integrable systems and cluster algebras
| Project/Area Number |
15K17634
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
|---|
| Research Institution | The University of Tokyo |
|---|
Principal Investigator |
Yamazaki Masahito 東京大学, カブリ数物連携宇宙研究機構, 准教授 (00726599)
|
|---|
| Project Period (FY) |
2015-04-01 – 2018-03-31
|
| Project Status |
Completed (Fiscal Year 2017)
|
| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | 量子場の理論 / 可積分系 / クラスター代数 / 超弦理論 / 超対称場の理論 / 共形場理論 |
|---|
| Outline of Final Research Achievements |
(1) constructed new integrable models from 2d quantum field theory (2) comprehensive discussion of topological defects in 3d/3d correspondence, by cluster algebra, AdS/CFT correspondence etc. (3) proposed a novel generalization of the Yang-Baxter equation, based on cluster algebras (4) proposed a new all-order conjecture for the closed 3-manifold version of the volume conjecture (5) formulated quantum discrete Today theory via cluster algebras, and discussed connection with quantum chaos (6) discussed semi-classical limit of the integrable models arising from supersymmetric gauge theories, and showed that we obtain chiral Potts and other discrete classical integrable models
|
Report
(4 results)
Research Products
(40 results)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
[Presentation] mirror symmetry and quivers2016
Author(s)
Masahito Yamazaki
Organizer
FRG workshop "Special Holonomy Geometry, Mirror, and Supersymmetry”, Harvard university
Place of Presentation
Harvard University，Cambridge，USA
Year and Date
2016-05-10
Related Report
Int'l Joint Research / Invited
-
[Presentation] QFT4.02016
Author(s)
Masahito Yamazaki
Organizer
PCTS celebration
Place of Presentation
Princeton Center for Theoretical Science,Princeton University, Princeton, USA
Year and Date
2016-05-06
Related Report
Int'l Joint Research / Invited
-
-
-
-
-
-
