Heterotic-F-theory duality with Wilson line symmetry-breaking

Clemens, Herbert; Raby, Stuart

doi:10.1007/JHEP12(2019)016

Heterotic-F-theory duality with Wilson line symmetry-breaking

Journal Article · Tue Dec 03 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2019)016· OSTI ID:1602461

Clemens, Herbert ^[1]; Raby, Stuart ^[2]

The Ohio State Univ., Columbus, OH (United States); Ohio State University
The Ohio State Univ., Columbus, OH (United States)

We begin with an $$E_{8}\times E_{8}$$ Heterotic model broken to an $$SU(5)_{gauge}$$ and a mirror $$SU(5)_{gauge}$$, where one $SU(5)$ and its spectrum is identified as the visible sector while the other can be identified as a hidden mirror world. In both cases we obtain the minimal supersymmetric standard model spectrum after Wilson-line symmetry-breaking enhanced by a low energy R-parity enforced by a local (or global) $$U(1)_{X}$$-symmetry. Using Heterotic/$$F$$-theory duality, we show how to eliminate the vector-like exotics which were obtained in previous constructions. In these constructions, the Calabi-Yau {[}CY{]} four-fold was defined by an elliptic fibration with section over a base $$B_{3}$ and a GUT surface given by $$K3/\mathbb{Z}_{2}=$$ Enriques surface. In the present paper we construct a quotient CY four-fold fibered by tori with two elliptic structures given by a a pair of sections fibered over the Enriques surface. Using Heterotic/$$F$$-theory duality we are able to define the cohomologies used to derive the massless spectrum.
Our model for the 'correct' $$F$$-theory dual of a Heterotic model with Wilson-line symmetry-breaking builds on prior literature but employs the stack-theoretic version of the dictionary between the Heterotic semi-stable $$E_{8}$$-bundles with Yang-Mills connection and the $$dP_{9}$$-fibrations used to construct the $$F$$-theory dual.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011726

OSTI ID:: 1602461

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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