Highly Symmetric Quintic Quotients

Candelas, Philip; Mishra, Challenger

doi:10.1002/prop.201800017

Cited by 12 publications

(13 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a remark, our approach eq. (8) is similar to the identification of flavor symmetries in complete intersection Calabi-Yau manifolds [44,45]. Still, this is not the full picture.…”

Section: Outer Automorphisms Of the Space Groupmentioning

confidence: 77%

Unification of flavor, CP, and modular symmetries

et al. 2019

View full text Add to dashboard Cite

Flavor symmetry plays a crucial role in the standard model of particle physics but its origin is still unknown. We develop a new method (based on outer automorphisms of the Narain space group) to determine flavor symmetries within compactified string theory. A picture emerges where traditional (discrete) flavor symmetries, CP-like symmetries and modular symmetries (like T -duality) of string theory combine to unified flavor symmetries. The groups depend on the geometry of compact space and the geographical location of fields in the extra dimensions. We observe a phenomenon of "local flavor groups" with potentially different flavor symmetries for the various sectors of quarks and leptons. This should allow interesting connections to existing bottom-up attempts in flavor model building.

show abstract

“…As a remark, our approach eq. (8) is similar to the identification of flavor symmetries in complete intersection Calabi-Yau manifolds [44,45]. Still, this is not the full picture.…”

Section: Outer Automorphisms Of the Space Groupmentioning

confidence: 77%

Unification of flavor, CP, and modular symmetries

et al. 2019

View full text Add to dashboard Cite

show abstract

“…The action of such an outer automorphism on strings is discussed in appendix A.2. This Narain approach can be viewed as a stringy completion of a purely geometrical approach to identify flavor symmetries, for example in complete intersection Calabi-Yau manifolds [27,28].…”

Section: Outer Automorphisms Of the Narain Space Groupmentioning

confidence: 99%

A string theory of flavor and CP

et al. 2019

View full text Add to dashboard Cite

Modular transformations of string theory (including the well-known stringy dualities) play a crucial role in the discussion of discrete flavor symmetries in the Standard Model. They are at the origin of CP-transformations and provide a unification of CP with traditional flavor symmetries. Here, we present a novel, fully systematic method to reliably compute the unified flavor symmetry of the low-energy effective theory, including enhancements from the modular transformations of string theory. The unified flavor group is non-universal in moduli space and exhibits the phenomenon of "Local Flavor Unification" where different sectors of the theory can be subject to different flavor structures.

show abstract

“…[6]. For the specific case of the quintic CY, work in this direction is under way [36]. It would also be interesting to know if results similar to the present ones arise for free quotients of CY manifolds constructed as hyper-surfaces in toric four-folds.…”

Section: Resultsmentioning

confidence: 56%

Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds

Lukas

Mishra

2020

Commun. Math. Phys.

Self Cite

View full text Add to dashboard Cite

In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi–Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi–Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of complete intersection manifolds by freely-acting discrete symmetries, non-freely-acting, generic symmetries arise in 381 cases and are, therefore, a relatively common feature of these manifolds. We find that 9 different discrete groups appear, ranging in group order from 2 to 18, and that both regular symmetries and R-symmetries are possible.

show abstract

Highly Symmetric Quintic Quotients

Cited by 12 publications

References 14 publications

Unification of flavor, CP, and modular symmetries

Unification of flavor, CP, and modular symmetries

A string theory of flavor and CP

Discrete Symmetries of Complete Intersection Calabi–Yau Manifolds

Contact Info

Product

Resources

About