Three-generation solutions of equations of motion in heterotic supergravity

Takeuchi, Maki; Tsuyuki, Takanao; Uchida, Hitoshi

doi:10.1103/physrevd.107.095039

Phys. Rev. D

2023

DOI: 10.1103/physrevd.107.095039

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Three-generation solutions of equations of motion in heterotic supergravity

Maki Takeuchi

Takanao Tsuyuki

Hitoshi Uchida

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2024

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Computation of the index on orbifold from the Atiyah-Segal-Singer fixed point theorem

Aoki,

Takeuchi

2024

Phys. Rev. D

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We investigate the independent chiral zero modes on the orbifolds from the Atiyah-Segal-Singer fixed point theorem. The required information for this calculation includes the fixed points of the orbifold and the manner in which the spatial symmetries act on these points, unlike previous studies that necessitated the calculation of zero modes. Since the fixed point theorem can be applied to any fermionic theory on any orbifold, it allows us to determine the index even on orbifolds where the calculation of zero modes is challenging or in the presence of nontrivial gauge configurations. We compute the indices on the T2/ZN(N=2,3,4,6) and T4/ZN(N=2,3,5) as examples. Furthermore, we also attempt to compute the indices on a Coxeter orbifold related to the D4 lattice. Published by the American Physical Society 2024

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Computation of the index on orbifold from the Atiyah-Segal-Singer fixed point theorem

Aoki,

Takeuchi

2024

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

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Three-generation solutions of equations of motion in heterotic supergravity

Cited by 1 publication

References 28 publications

Computation of the index on orbifold from the Atiyah-Segal-Singer fixed point theorem

Computation of the index on orbifold from the Atiyah-Segal-Singer fixed point theorem

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