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We discuss nonplanar anomalies in noncommutative gauge theories. In particular we show that a nonplanar anomaly exists when the external noncommutative momentum is zero and that it leads to a non-conservation of the associated axial charge.…

High Energy Physics - Theory · Physics 2011-07-19 Adi Armoni , Esperanza Lopez , Stefan Theisen

Anomalies are a very powerful tool in constraining theories beyond the standard model. We give a pedagogical overview of some topics illustrating the important role played by spacetime anomalies in string theory. After discussing the…

High Energy Physics - Theory · Physics 2024-02-05 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo

We give a new twist to an old-fashioned topic in quantum field theory describing violations of the chiral charge conservation of massless fermions through Adler-Bell-Jackiw anomalies in the background of instanton fields in the context of…

High Energy Physics - Theory · Physics 2012-04-18 Ioannis Bakas

Certain (3+1)-dimensional chiral non-Abelian gauge theories have been shown to exhibit a new type of global gauge anomaly, which in the Hamiltonian formulation is due to the fermion zero-modes of a Z-string-like configuration of the gauge…

High Energy Physics - Theory · Physics 2009-10-31 F. R. Klinkhamer

This thesis reviews minimal N=2 chiral supergravities coupled to matter in six dimensions with emphasis on anomaly cancellation. In general, six-dimensional chiral supergravities suffer from gravitational, gauge and mixed anomalies which…

High Energy Physics - Theory · Physics 2007-05-23 Spyros D. Avramis

We revisit the issue of how the perturbative and global fermion anomaly of Type I string theory in ten dimensions is cancelled by the Green-Schwarz mechanism using the RR fields. This will be done by realising the RR fields as boundary…

High Energy Physics - Theory · Physics 2025-10-07 Saghar S. Hosseini , Yuji Tachikawa , Hao Y. Zhang

We consider a theory with gauge group $G \times U(1)_A$ containing: i) an abelian factor for which the chiral matter content of the theory is anomalous $\sum_{f} q^f_A \neq 0 \neq \sum_{f} (q^f_A)^3$ ; ii) a nonanomalous factor $G$. In…

High Energy Physics - Theory · Physics 2007-05-23 Francisco Gonzalez-Rey

We comment on aspects of discrete anomaly conditions focussing particularly on $R$ symmetries. We review the Green-Schwarz cancellation of discrete anomalies, providing a heuristic explanation why, in the heterotic string, only the…

High Energy Physics - Phenomenology · Physics 2014-01-14 Michael Dine , Angelo Monteux

We review and clarify the cancellation conditions for gauge anomalies which occur when N=1, D=4 supergravity is coupled to a Kahler non-linear sigma-model with gauged isometries and Fayet-Iliopoulos couplings. For a flat sigma-model target…

High Energy Physics - Theory · Physics 2009-11-11 Henriette Elvang , Daniel Z. Freedman , Boris Kors

We study gaugino condensation in presence of an anomalous $U(1)$ gauge group and find that global supersymmetry is dynamically broken. An example of particular interest is provided by effective string models with 4-dimensional Green-Schwarz…

High Energy Physics - Theory · Physics 2009-10-30 P. Binetruy , E. A. Dudas

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

We study the collider phenomenology of a neutral gauge boson $Z'$ arising in minimal but anomalous $\mathrm{U}(1)$ extensions of the Standard Model (SM). To retain gauge invariance of physical observables, we consider cancellation of gauge…

High Energy Physics - Phenomenology · Physics 2018-04-04 Andreas Ekstedt , Rikard Enberg , Gunnar Ingelman , Johan Löfgren , Tanumoy Mandal

We construct the Green-Schwarz terms of six-dimensional supergravity theories on spacetimes with non-trivial topology and gauge bundle. We prove the cancellation of all global gauge and gravitational anomalies for theories with gauge groups…

High Energy Physics - Theory · Physics 2019-02-12 Samuel Monnier , Gregory W. Moore

It has been proposed that gauge and Kaehler anomalies in four-dimensional type IIB orientifolds are cancelled by a generalized Green-Schwarz mechanism involving exchange of twisted RR-fields. We explain how this can be understood using the…

High Energy Physics - Theory · Physics 2009-10-31 Matthias Klein

We present a simple derivation of the Callan-Harvey-Naculich effect, {\it i.e.} the compensation of charge violation on axion strings due to gauge anomalies by accretion of charge onto the string from the surrounding space. We then show, in…

High Energy Physics - Theory · Physics 2010-01-07 J. M. Izquierdo , P. K. Townsend

We classify all the phenomenologically viable fermion mass matrices coming from a spontaneously broken abelian symmetry $ U(1)_X, $ with one and two additional chiral fields of opposite charges $ X=\pm 1. $ We find that the non-trivial…

High Energy Physics - Phenomenology · Physics 2016-09-01 E. Dudas , S. Pokorski , C. A. Savoy

In string theory, there are no continuous global symmetries. Discrete symmetries frequently appear, and these can often be understood as unbroken subgroups of larger, spontaneously broken gauge symmetries (discrete gauge symmetries). In…

High Energy Physics - Theory · Physics 2007-05-23 D. A. MacIntire

We determine the two--dimensional Weyl, Lorentz and $\kappa$--anomalies in the $D=10$ Green--Schwarz heterotic string sigma--model, in an $SO(1,9)$-Lorentz covariant background gauge, and prove their cancellation.

High Energy Physics - Theory · Physics 2009-10-30 K. Lechner , M. Tonin

We prove that global anomaly cancellation requires more than one generation of quarks and leptons, provided that the standard model fields propagate in two universal extra dimensions. Furthermore, if the fermions of different generations…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bogdan A. Dobrescu , Erich Poppitz

We study in detail the pattern of anomaly cancellation in D=6 Type IIB Z_N orientifolds, occurring through a generalized Green-Schwarz mechanism involving several RR antisymmetric tensors and scalars fields. The starting point is a direct…

High Energy Physics - Theory · Physics 2009-10-31 Claudio A. Scrucca , Marco Serone
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