Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

High Energy Physics - Theory

arXiv:1805.02661 (hep-th)
[Submitted on 7 May 2018 (v1), last revised 8 Oct 2018 (this version, v3)]

Title:Local B-model Yukawa couplings from A-twisted correlators

Authors:Yoshinori Honma, Masahide Manabe
View PDF
Abstract:Using the exact formula for the A-twisted correlation functions of the two dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model, we reconsider the computation of the B-model Yukawa couplings of the local toric Calabi-Yau varieties. Our analysis is based on an exact result that has been evaluated from the supersymmetric localization technique and careful treatment of its application. We provide a detailed description of a procedure to investigate the local B-model Yukawa couplings and also test our prescription by comparing the results with known expressions evaluated from the local mirror symmetry approach. In particular, we find that the ambiguities of classical intersection numbers of a certain class of local toric Calabi-Yau varieties discovered previously can be interpreted as degrees of freedom of the twisted mass deformations.
Comments: 29 pages, 7 figures. v2: minor changes. v3: minor changes, published version
Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)
Cite as: arXiv:1805.02661 [hep-th]
  (or arXiv:1805.02661v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.02661
Journal reference: PTEP 2018 (2018) no.7, 073A03
Related DOI: https://doi.org/10.1093/ptep/pty077

Submission history

From: Masahide Manabe [view email]
[v1] Mon, 7 May 2018 18:00:01 UTC (403 KB)
[v2] Mon, 11 Jun 2018 14:58:23 UTC (403 KB)
[v3] Mon, 8 Oct 2018 20:29:25 UTC (403 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
hep-th
< prev   |   next >
new | recent | 2018-05
Change to browse by:
math
math.AG

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)