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In models of oriented closed strings, anomaly cancellations are deeply linked to the {\it modular invariance} of the torus amplitude. If open and/or unoriented strings are allowed, there are no non-trivial modular transformations in the…

High Energy Physics - Theory · Physics 2007-05-23 Augusto Sagnotti

We study the constraints on five-dimensional N=1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , K. S. Stelle

It is shown that the one-loop coefficients of on-shell operators of standard supergravity with canonical gauge kinetic energy can be regulated by the introduction of Pauli-Villars chiral and abelian gauge multiplets, subject to a condition…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

It is shown that the one-loop ultraviolet divergences in renormalizable supersymmetric theories can be regulated by the introduction of heavy Pauli-Villars chiral supermultiplets, provided the generators of the gauge group are traceless in…

High Energy Physics - Theory · Physics 2009-10-28 Mary K. Gaillard

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are…

High Energy Physics - Theory · Physics 2015-12-02 Wilfried Buchmuller , Markus Dierigl , Fabian Ruehle , Julian Schweizer

Chiral U(1) anomaly is derived with mathematical rigor for a Euclidean fermion coupled to a smooth external U(1) gauge field on an even dimensional torus as a continuum limit of lattice regularized fermion field theory with the Wilson term…

High Energy Physics - Lattice · Physics 2009-10-30 Tetsuya Hattori , Hiroshi Watanabe

We study the constraints on models with extra dimensions arising from local anomaly cancellation. We consider a five-dimensional field theory with a U(1) gauge field and a charged fermion, compactified on the orbifold S^1/(Z_2 x Z_2'). We…

High Energy Physics - Theory · Physics 2009-11-07 C. A. Scrucca , M. Serone , L. Silvestrini , F. Zwirner

The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected \star-deformation of the commutative anomaly, nonplanar…

High Energy Physics - Theory · Physics 2009-11-10 Farhad Ardalan , Neda Sadooghi

A detailed analysis of anomalous U(1)'s and their effective couplings is performed both in field theory and string theory. It is motivated by the possible relevance of such couplings in particle physics, as well as a potential signal…

High Energy Physics - Theory · Physics 2009-11-11 P. Anastasopoulos , M. Bianchi , E. Dudas , E. Kiritsis

We use the linear supermultiplet formalism of supergravity to study axion couplings and chiral anomalies in the context of field-theoretical Lagrangians describing orbifold compactifications beyond the classical approximation. By matching…

High Energy Physics - Theory · Physics 2010-11-01 Mary K. Gaillard , T. R. Taylor

Through use of the Pauli-Villars regulator procedure we construct a second- plus fourth-order-derivative theory of gravity that serves as an ultraviolet completion of standard second-order-derivative quantum Einstein gravity that is…

High Energy Physics - Theory · Physics 2024-04-26 Philip D. Mannheim

We argue that the presence of conformal anomalies in gravitational theories can lead to observable modifications to Einstein's equations via the induced anomalous effective actions, whose non-localities can overwhelm the smallness of the…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Krzysztof A. Meissner , Hermann Nicolai

This contribution briefly describes some developments of the use of string symmetries and anomaly cancellation mechanisms to include string loop corrections in the construction of the low-energy effective supergravity of superstrings.…

High Energy Physics - Theory · Physics 2016-09-06 J. -P. Derendinger

Spontaneously broken Abelian gauge symmetries can explain the fermion mass hierarchies of the minimal supersymmetric standard model. In most cases it is assumed that the $U(1)_H$ symmetry is anomalous. However, non-anomalous models are also…

High Energy Physics - Phenomenology · Physics 2007-05-23 Enrico Nardi

We elaborate on an extension of the Standard Model with a gauge structure enlarged by a single anomalous U(1), where the presence of a Wess-Zumino term is motivated by the Green-Schwarz mechanism of string theory. The additional gauge…

High Energy Physics - Phenomenology · Physics 2009-09-29 Claudio Coriano , Nikos Irges , Simone Morelli

``Anomalous'' U(1) gauge symmetry with Green-Schwarz anomaly cancellation mechanism is discussed in the orbifold construction of four-dimensional heterotic string models. Some conditions are given as criteria to have ``anomalous'' U(1) in…

High Energy Physics - Theory · Physics 2016-09-06 Tatsuo Kobayashi , Hiroaki Nakano

Starting from the previously constructed effective supergravity theory below the scale of U(1) breaking in orbifold compactifications of the weakly coupled heterotic string, we study the effective theory below the scale of supersymmetry…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard , Joel Giedt , Aleksey L. Mints

We present a regularization scheme which respects the supersymmetry and the maximal background gauge covariance in supersymmetric chiral gauge theories. When the anomaly cancellation condition is satisfied, the effective action in the…

High Energy Physics - Theory · Physics 2008-11-26 Hiroshi Suzuki

The anomaly cancellation is a basic property of the Standard Model, crucial for its consistence. We consider a lattice chiral gauge theory of massless Wilson fermions interacting with a non-compact massive U(1) field coupled with left and…

High Energy Physics - Lattice · Physics 2023-03-07 Vieri Mastropietro