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Casimir Energies due to Matter Fields in $T^{2}$ and $T^{2}/Z_{2}$ Compactifications

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abstract

We calculate the Casimir energies due to matter fields with various boundary conditions along two compact directions in $T^{2}$ compactification. We discuss whether the Casimir energies generate attractive or repulsive forces. On the theories with extra dimensions, the Casimir energy plays a crucial role in the mechanism for stabilizing the size of extra dimensions. Finally we argue a procedure of the application to $Z_{2}$ orbifold.

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2025 1

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representative citing papers

Instabilities in scale-separated Casimir vacua

hep-th · 2025-07-23 · unverdicted · novelty 5.0

Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.

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  • Instabilities in scale-separated Casimir vacua hep-th · 2025-07-23 · unverdicted · none · ref 73 · internal anchor

    Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.