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Recent developments in topological string theory
- Source :
- Science China Physics, Mechanics & Astronomy. 62
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- This review summarizes the recent developments in topological string theory from the author's perspective, mostly focused on aspects of research in which the author is involved. After a brief overview of the theory, we discuss two aspects of these developments. First, we discuss the computational progress in the topological string partition functions on a class of elliptic Calabi-Yau manifolds. We propose to use Jacobi forms as an ansatz for the partition function. For non-compact models, the techniques often provide complete solutions, while for compact models, though it is still not completely solvable, we compute to higher genus than previous works. Second, we explore a remarkable connection of refined topological strings on a class of non-compact toric Calabi-Yau threefolds with non-perturbative effects in quantum-mechanical systems. The connections provide rarely available exact quantization conditions for quantum systems and new insights on non-perturbative formulations of topological string theory.<br />A review article of the author's recent research, 16 pages, 2 figures. Journal version for "Science China Physics, Mechanics & Astronomy"
- Subjects :
- High Energy Physics - Theory
Class (set theory)
Computer science
FOS: Physical sciences
General Physics and Astronomy
Partition function (mathematics)
Topological string theory
01 natural sciences
String (physics)
Connection (mathematics)
Algebra
Quantization (physics)
Mathematics::Algebraic Geometry
High Energy Physics - Theory (hep-th)
Genus (mathematics)
0103 physical sciences
010306 general physics
010303 astronomy & astrophysics
Ansatz
Subjects
Details
- ISSN :
- 18691927 and 16747348
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- Science China Physics, Mechanics & Astronomy
- Accession number :
- edsair.doi.dedup.....fec9d9dc7e833bfb980802499443a216