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<p>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.</p><p>This is done by creating a two-dimensional non-conformal 𝒩 = (0<i>,</i> 1) supersymmetric quantum field theory with three asymptotic ends, each equipped with one of the worldsheet theories of the supersymmetric <i>E</i><sub>8</sub> × <i>E</i><sub>8</sub> theory, the supersymmetric SO(32) theory, and the non-supersymmetric SO(16) × SO(16) theory, respectively. It is actually a special case of a more general construction involving an arbitrary ℤ<sub>2</sub>-symmetric theory <i>T</i>, its ℤ<sub>2</sub>-orbifold <i>T/</i>ℤ<sub>2</sub>, and the modified ℤ<sub>2</sub>-orbifold (<i>T</i> × <i>q</i>)<i>/</i>ℤ<sub>2</sub>, where <i>q</i> is a certain ℤ<sub>2</sub>-symmetric spin invertible theory.</p>

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On the trivalent junction of three non-tachyonic heterotic string theories

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  • 发表日期：

    2026年6月18日

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  • Yuji Tachikawa

摘要

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 𝒩 = (0, 1) supersymmetric quantum field theory with three asymptotic ends, each equipped with one of the worldsheet theories of the supersymmetric E8 × E8 theory, the supersymmetric SO(32) theory, and the non-supersymmetric SO(16) × SO(16) theory, respectively. It is actually a special case of a more general construction involving an arbitrary ℤ2-symmetric theory T, its ℤ2-orbifold T/ℤ2, and the modified ℤ2-orbifold (T × q)/ℤ2, where q is a certain ℤ2-symmetric spin invertible theory.