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One-Loop Effective Action in Orbifold Compactifications

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arxiv 0805.4542 v2 pith:6ZYUM63A submitted 2008-05-29 hep-th hep-ph

classification hep-thhep-ph
keywords effectiveactionorbifoldcompactificationsformalismone-loopbackgroundcomputation
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We employ the covariant background formalism to derive generic expressions for the one-loop effective action in field theoretic orbifold compactifications. The contribution of each orbifold sector is given by the effective action of its fixed torus with a shifted mass matrix. We thus study in detail the computation of the heat kernel on tori. Our formalism manifestly separates UV sensitive (local) from UV-insensitive (nonlocal) renormalization. To exemplify our methods, we study the effective potential of 6d gauge theory as well as kinetic terms for gravitational moduli in 11d supergravity.

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Cited by 1 Pith paper

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  1. Heat Kernel Methods for Multiloop Calculations in Curved Spacetime: Nonzero Spin

    hep-th 2025-06 reject novelty 5.0 of 10

    This paper presents a master formula and the off-diagonal heat kernel expansion (eq. 4.10) that generalize the authors' scalar curved-spacetime multiloop formalism to nonzero-spin fields in general gauge and gravitati...

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