vector bundle, 2-vector bundle, (∞,1)-vector bundle
real, complex/holomorphic, quaternionic
If the gauge-complex vector bundle in a heterotic string theory vacuum has reduction of the structure group to an abelian group of the form
(the direct product group of -copies of the circle group, regarded as a diagonal subgroup of SU(n) and thus of E8)
it is called a heterotic line bundle in Anderson-Gray-Lukas-Palti 11.
Considering these models has led to a little revolution in heterotic string phenomenology (Anderson-Gray-Lukas-Palti 12).
In the observable sector of heterotic M-theory the values lead to good phenomenology, while for the hidden sector the value is used (in ADO 20a, Sec. 4.2, ADO 20a, Sec. 2.2).
Heterotic line bundle models were first considered in
Lara Anderson, James Gray, Andre Lukas, Eran Palti, Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds, Phys. Rev. D 84, 106005 (2011) (arXiv:1106.4804)
Lara Anderson, James Gray, Andre Lukas, Eran Palti, Heterotic Line Bundle Standard Models, JHEP 2012 113 (2012) 06 [arXiv:1202.1757, doi:10.1007/JHEP06(2012)113]
The resulting scan of SU(5) GUT vacua among heterotic line bundle models:
Lara Anderson, Andrei Constantin, James Gray, Andre Lukas, Eran Palti, A Comprehensive Scan for Heterotic GUT models, JHEP01(2014)047 (arXiv:1307.4787)
Lara Anderson, James Gray, Andre Lukas, Eran Palti, Heterotic standard model database (web)
Yang-Hui He, Seung-Joo Lee, Andre Lukas, Chuang Sun, Heterotic Model Building: 16 Special Manifolds, J. High Energ. Phys. 2014, 77 (2014) (arXiv:1309.0223)
Stefan Groot Nibbelink, Orestis Loukas, Fabian Ruehle, Patrick K.S. Vaudrevange, Infinite number of MSSMs from heterotic line bundles?, Phys. Rev. D 92, 046002 (2015) (arXiv:1506.00879)
Andreas Braun, Callum R. Brodie, Andre Lukas, Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds, JHEP04 (2018) 087 (arXiv:1706.07688)
James Gray, Juntao Wang, Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models, JHEP11 (2019) 073 (arXiv:1906.09373)
Magdalena Larfors, Robin Schneider, Explore and Exploit with Heterotic Line Bundle Models, Fortschritte der Physik Vol 86 Nr. 5 (arXiv:2003.04817)
Review:
Andrei Constantin, Heterotic line bundle models, talk at New Developments in Gravity, Cosmology and Strings 2013, Munich 2013 (pdf, pdf)
Andre Lukas, Line Bundles in String Model Building, talk at StringPhenomenology 2019 (indico:782251/contributions/3441850, pdf, pdf)
On heterotic line bundles in the hidden sector of heterotic M-theory:
Anthony Ashmore, Sebastian Dumitru, Burt Ovrut, Section 4.2 of: Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models, Fortsch. Phys. 69 7 (2021) 2100052 [arXiv:2003.05455, doi:10.1002/prop.202100052]
Anthony Ashmore, Sebastian Dumitru, Burt Ovrut, Section 2.2 of: Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory B−L MSSM, J. High Energ. Phys. 2021, 33 (2021). (arXiv:2012.11029, doi:10.1007/JHEP08(2021)033)
Anthony Ashmore, Sebastian Dumitru, Burt Ovrut, Hidden Sectors from Multiple Line Bundles for the B−L MSSM (arXiv:2106.09087)
Sebastian Dumitru, Burt A. Ovrut, Heterotic M-Theory Hidden Sectors with an Anomalous Gauge Symmetry (arXiv:2109.13781)
Sebastian Dumitru, Sec. 2.4 of: The strongly coupled heterotic string: Geometry & Phenomenology [arXiv:2206.12310]
On heterotic line bundles seen in F-theory under duality between M/F-theory and heterotic string theory:
See also:
Evgeny Buchbinder, Andrei Constantin, Andre Lukas, The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric, JHEP03 (2014) 025 (arXiv:1311.1941)
Magdalena Larfors, Davide Passaro, Robin Schneider, Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds (arXiv:2010.09763)
Steve Abel, Andrei Constantin, Thomas R. Harvey, Andre Lukas, Luca A. Nutricati, Decoding Nature with Nature’s Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing [arXiv:2306.03147]
Similar discussion in SemiSpin(32)-heterotic string theory:
Discussion via machine learning of connections on heterotic line bundles over Calabi-Yau 3-folds:
Appearance of heterotic line bundles via Hypothesis H:
(see commentary on p. 5).
Last revised on April 24, 2024 at 17:00:05. See the history of this page for a list of all contributions to it.