The Moonshine and LHC di-Photon Excess



Athanasopoulos, P and Faraggi, AE ORCID: 0000-0001-7123-6414
(2017) The Moonshine and LHC di-Photon Excess. Advances in Mathematical Physics.

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Abstract

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 $Z^\prime$ symmetry that may remain unbroken down to low energy scales. A generic signature of the low scale string derived $Z^\prime$ model is via di--photon 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 moonshine lattices.

Item Type: Article
Additional Information: 22 pages. Standard LaTex. 1 figure
Uncontrolled Keywords: hep-th, hep-th, hep-ph
Depositing User: Symplectic Admin
Date Deposited: 22 Aug 2017 07:55
Last Modified: 06 Oct 2022 06:07
DOI: 10.1155/2017/3572469
Open Access URL: https://www.hindawi.com/journals/amp/2017/3572469/
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3009080

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