Free fermionic webs of heterotic T-folds (2306.16443v2)
Abstract: Moduli stabilisation is key to obtaining phenomenologically viable string models. Non-geometric compactifications, like T-duality orbifolds (T-folds), are capable of freezing many moduli. However, in this Letter we emphasise that T-folds, admitting free fermionic descriptions, can be associated with a large number of different T-folds with varying number of moduli, since the fermion pairings for bosonisation are far from unique. Consequently, in one description a fermionic construction might appear to be asymmetric, and hence non-geometric, while in another it admits a symmetric orbifold description. We introduce the notion of intrinsically asymmetric T-folds for fermionic constructions that do not admit any symmetric orbifold description after bosonisation. Finally, we argue that fermion symmetries induce mappings in the bosonised description that extend the T-duality group.
- A. E. Faraggi, D. V. Nanopoulos, and K.-j. Yuan, A Standard like model in the 4D free fermionic string formulation, Nucl. Phys. B335, 347 (1990).
- O. Lebedev et al., A mini-landscape of exact MSSM spectra in heterotic orbifolds, Phys. Lett. B645, 88 (2007), arXiv:hep-th/0611095 .
- M. Blaszczyk et al., A Z2xZ2 standard model, Phys. Lett. B683, 340 (2010), arXiv:0911.4905 [hep-th] .
- M. J. Duff, Duality Rotations in String Theory, Nucl. Phys. B 335, 610 (1990).
- A. Strominger, S.-T. Yau, and E. Zaslow, Mirror symmetry is T duality, Nucl. Phys. B 479, 243 (1996), arXiv:hep-th/9606040 .
- A. Dabholkar and C. Hull, Generalised T-duality and non-geometric backgrounds, JHEP 05, 009, arXiv:hep-th/0512005 .
- K. S. Narain, M. H. Sarmadi, and C. Vafa, Asymmetric orbifolds, Nucl. Phys. B288, 551 (1987).
- A. E. Faraggi, Proton stability in superstring derived models, Nucl. Phys. B 428, 111 (1994), arXiv:hep-ph/9403312 .
- A. E. Faraggi, Doublet–triplet splitting in realistic heterotic string derived models, Physics Letters B 520, 337 (2001).
- A. E. Faraggi, Yukawa couplings in superstring-derived standard-like models, Phys. Rev. D 47, 5021 (1993).
- A. E. Faraggi, Moduli fixing in realistic string vacua, Nuclear Physics B 728, 83 (2005).
- S. Groot Nibbelink and P. K. S. Vaudrevange, T-duality orbifolds of heterotic Narain compactifications, JHEP 04, 030, arXiv:1703.05323 [hep-th] .
- S. Groot Nibbelink, A worldsheet perspective on heterotic T-duality orbifolds, JHEP 04, 190, arXiv:2012.02778 [hep-th] .
- I. Antoniadis, C. Bachas, and C. Kounnas, Four-dimensional superstrings, Nucl. Phys. B289, 87 (1987).
- H. Kawai, D. C. Lewellen, and S.-H. Henry Tye, Construction of fermionic string models in four dimensions, Nucl. Phys. B288, 1 (1987).
- I. Antoniadis and C. Bachas, 4d fermionic superstrings with arbitrary twists, Nucl. Phys. B298, 586 (1988).
- A. E. Faraggi and D. V. Nanopoulos, Naturalness of three generations in free fermionic Z2n⊗Z4tensor-productsuperscriptsubscript𝑍2𝑛subscript𝑍4Z_{2}^{n}\otimes Z_{4}italic_Z start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_n end_POSTSUPERSCRIPT ⊗ italic_Z start_POSTSUBSCRIPT 4 end_POSTSUBSCRIPT string models, Phys. Rev. D48, 3288 (1993).
- A. E. Faraggi, A new standard-like model in the four dimensional free fermionic string formulation, Physics Letters B 278, 131 (1992).
- A. Faraggi, V. Matyas, and B. Percival, Stable three generation standard-like model from a tachyonic ten dimensional heterotic-string vacuum, The European Physical Journal C 80, 10.1140/epjc/s10052-020-7894-x (2020).
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