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  Exploring the landscape of heterotic strings on T-d

Font, A., Fraiman, B., Graña, M., Núñez, C. A., & Parra, H. (2020). Exploring the landscape of heterotic strings on T-d. Journal of High Energy Physics, 2020(10): 194. doi:10.1007/JHEP10(2020)194.

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Font, Anamaria1, Author              
Fraiman, Bernardo, Author
Graña, Mariana, Author
Núñez, Carmen A., Author
Parra, Héctor, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Compactifications of the heterotic string on T^d are the simplest, yet rich enough playgrounds to uncover swampland ideas: the U(1)^{d+16} left-moving gauge symmetry gets enhanced at special points in moduli space only to certain groups. We state criteria, based on lattice embedding techniques, to establish whether a gauge group is realized or not. For generic d, we further show how to obtain the moduli that lead to a given gauge group by modifying the method of deleting nodes in the extended Dynkin diagram of the Narain lattice II_{1,17}. More general algorithms to explore the moduli space are also developed. For d=1 and 2 we list all the maximally enhanced gauge groups, moduli, and other relevant information about the embedding in II_{d,d+16}. In agreement with the duality between heterotic on T^2 and F-theory on K3, all possible gauge groups on T^2 match all possible ADE types of singular fibers of elliptic K3 surfaces. We also present a simple method to transform the moduli under the duality group, and we build the map that relates the charge lattices and moduli of the compactification of the E_8 x E_8 and Spin(32)/Z_2 heterotic theories.

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 Dates: 2020-07-202020
 Publication Status: Published in print
 Pages: 97 pages
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2020 (10) Sequence Number: 194 Start / End Page: - Identifier: -