Niemeier Lattices in the Free Fermionic Heterotic–String Formulation
Joint Authors
Faraggi, Alon E.
Athanasopoulos, Panos
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The spinor–vector duality was discovered in free fermionic constructions of the heterotic string in four dimensions.
It played a key role in the construction of heterotic–string models with an anomaly-free extra Z′ symmetry that may remain unbroken down to low energy scales.
A generic signature of the low scale string derived Z′ model is via diphoton excess that may be within reach of the LHC.
A fascinating possibility is that the spinor–vector duality symmetry is rooted in the structure of the heterotic–string compactifications to two dimensions.
The two-dimensional heterotic–string theories are in turn related to the so-called moonshine symmetries that underlie the two-dimensional compactifications.
In this paper, we embark on exploration of this connection by the free fermionic formulation to classify the symmetries of the two-dimensional heterotic–string theories.
We use two complementary approaches in our classification.
The first utilises a construction which is akin to the one used in the spinor–vector duality.
Underlying this method is the triality property of SO(8) representations.
In the second approach, we use the free fermionic tools to classify the twenty-four-dimensional Niemeier lattices.
American Psychological Association (APA)
Athanasopoulos, Panos& Faraggi, Alon E.. 2017. Niemeier Lattices in the Free Fermionic Heterotic–String Formulation. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123130
Modern Language Association (MLA)
Athanasopoulos, Panos& Faraggi, Alon E.. Niemeier Lattices in the Free Fermionic Heterotic–String Formulation. Advances in Mathematical Physics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1123130
American Medical Association (AMA)
Athanasopoulos, Panos& Faraggi, Alon E.. Niemeier Lattices in the Free Fermionic Heterotic–String Formulation. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1123130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123130