Localization and Anomalies on Orbifolds

Nibbelink, Stefan Groot; Nilles, Hans Peter

doi:10.1142/9789812704917_0019

String Phenomenology 2003

DOI: 10.1142/9789812704917_0019

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Localization and Anomalies on Orbifolds

Stefan Groot Nibbelink

Hans Peter Nilles

Abstract: In this talk we discus some properties of supersymmetric theories on orbifolds in five dimensions. The structure of FI-tadpoles may lead to (strong) localization of charged bulk scalars. Orbifold theories may suffer from various kinds of anomalies. The parity anomaly may render the construction of the orbifold theory ill-defined. The gauge anomaly on the orbifold are localized at the fixed points, which can sometimes be canceled by a Chern-Simons term. Based on talks given by the authors at:

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Cited by 2 publications

References 14 publications

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Heat kernel expansion: user's manual

2003

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The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action. The aim of this report is to collect useful information on the heat kernel coefficients scattered in mathematical and physical literature. We present explicit expressions for these coefficients on manifolds with and without boundaries, subject to local and non-local boundary conditions, in the presence of various types of singularities (e.g., domain walls). In each case the heat kernel coefficients are given in terms of several geometric invariants. These invariants are derived for scalar and spinor theories with various interactions, Yang-Mills fields, gravity, and open bosonic strings. We discuss the relations between the heat kernel coefficients and quantum anomalies, corresponding anomalous actions, and covariant perturbation expansions of the effective action (both "low-" and "high-energy" ones).Comment: 113 pp, to be submitted to Phys.Repts, v2: added references and corrected typo

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Heat kernel expansion: user's manual

2003

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Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

Ghilencea¹

2005

J. High Energy Phys.

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Higher derivative operators as loop counterterms in one-dimensional field theory orbifolds Abstract: Using a 5D N = 1 supersymmetric toy-model compactified on S 1 /(Z 2 × Z 2 ), with a "brane-localised" superpotential, it is shown that higher (dimension) derivative operators are generated as one-loop counterterms to the (mass) 2 of the zero-mode scalar field, to ensure the quantum consistency of the model. Such operators are just a result of the compactification and integration of the bulk modes. They are relevant for the UV momentum scale dependence of the (mass) 2 of the zero-mode scalar field, regarded as a Higgs field in more realistic models. While suppressed for a small compactification radius R, these operators can affect the predictive power of models with a large value for R. A general method is also provided for a careful evaluation of infinite sums of 4D divergent loop-integrals (of Feynman diagrams) present in field theory orbifolds. With minimal changes, this method can be applied to specific orbifold models for a simple evaluation of their radiative corrections and the overall divergences.

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Localization and Anomalies on Orbifolds

Cited by 2 publications

References 14 publications

Heat kernel expansion: user's manual

Heat kernel expansion: user's manual

Higher Derivative Operators as loop counterterms in one-dimensional field theory orbifolds.

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