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F-theory models with 3 to 8 U(1) factors on K3 surfaces.
- Source :
-
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics . 6/20/2021, Vol. 36 Issue 17, pN.PAG-N.PAG. 31p. - Publication Year :
- 2021
-
Abstract
- In this study, we construct four-dimensional F-theory models with 3 to 8 U(1) factors on products of K3 surfaces. We provide explicit Weierstrass equations of elliptic K3 surfaces with Mordell–Weil ranks of 3 to 8. We utilize the method of quadratic base change to glue pairs of rational elliptic surfaces together to yield the aforementioned types of K3 surfaces. The moduli of elliptic K3 surfaces constructed in the study include Kummer surfaces of specific complex structures. We show that the tadpole cancels in F-theory compactifications with flux when these Kummer surfaces are paired with appropriately selected attractive K3 surfaces. We determine the matter spectra on F-theory on the pairs. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ELLIPTIC equations
*YIELD surfaces
*ALGEBRAIC geometry
*TADPOLES
*FLUX (Energy)
Subjects
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 36
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 151119275
- Full Text :
- https://doi.org/10.1142/S0217751X21501256