Kavli Affiliate: Yuji Tachikawa
| Summary:
Recently, Altavista, Anastasi, Angius and Uranga discussed a method to construct junctions and bouquets of different perturbative string theories. Following this analysis, we here argue that three non-tachyonic ten-dimensional heterotic string theories can be joined together at a nine-dimensional junction.
This is done by creating a two-dimensional non-conformal $mathcalN=(0,1)$ supersymmetric quantum field theory with three asymptotic ends, each equipped with one of the worldsheet theories of the supersymmetric $E_8times E_8$ theory, the supersymmetric $SO(32)$ theory, and the non-supersymmetric $SO(16)times SO(16)$ theory, respectively. It is actually a special case of a more general construction involving an arbitrary $mathbbZ_2$-symmetric theory $T$, its $mathbbZ_2$-orbifold $T/mathbbZ_2$, and the modified $mathbbZ_2$-orbifold $(Ttimes q)/mathbbZ_2$, where $q$ is a certain $mathbbZ_2$-symmetric spin invertible theory.
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