Théorie de champs de cordes

Résumé

La théorie de champs de cordes est la théorie de seconde quantification associée à la théorie des cordes. Voir aussi

Théorie des cordes

Références

Warren Siegel, Introduction to string field theory., Adv.Ser.Math.Phys.8:1-244,1988, version électronique du livre disponible sur l'arXiv.
Edward Witten, Noncommutative Geometry And String Field Theory. Nucl.Phys.B268:253,1986, préprint disponible sur l'archive KEK.

Catégorie:Théorie des cordes

Source officielle

https://fr.wikipedia.org/wiki/Th%C3%A9orie_de_champs_de_cordes

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Anomalies in orbifold field theories

Claudio Scrucca

We study the constraints on models with extra dimensions arising from local anomaly cancellation. We consider a five-dimensional field theory with a U(I) gauge field and a charged fermion, compactified on the orbifold S-1/(Z(2) x Z(2)'). We show that, even if the orbifold projections remove both fermionic zero modes, there are gauge anomalies localized at the fixed points. Anomalies naively cancel after integration over the fifth dimension, but gauge invariance is broken, spoiling the consistency of the theory. We discuss their implications for realistic supersymmetric models with a single Higgs hypermultiplet in the bulk, and possible cancellation mechanisms in non-minimal models. (C) 2002 Elsevier Science B.V. All rights reserved.

2002

Chargement

We give an overview of the issue of anomalies in field theories with extra dimensions. We start by reviewing in a pedagogical way the computation of the standard perturbative gauge and gravitational anomalies on noncompact spaces, using Fujikawa's approach and functional integral methods, and discuss the available mechanisms for their cancellation. We then generalize these analyses to the case of orbifold field theories with compact internal dimensions, emphasizing the new aspects related to the presence of orbifold singularities and discrete Wilson lines, and the new cancellation mechanisms that are becoming available. We conclude with a very brief discussion on global and parity anomalies.

2004

Chargement

Anomalies, Fayet-Iliopoulos terms, and the consistency of orbifold field theories

Roberto Contino, Riccardo Rattazzi, Claudio Scrucca

We study the consistency of orbifold field theories and clarify to what extent the condition of having an anomaly-free spectrum of zero modes is sufficient to guarantee it. Preservation of gauge invariance at the quantum level is possible, although at the price, in general, of introducing operators that break the 5D local parity. These operators are, however, perfectly consistent with the orbifold projection. We also clarify the relation between localized Fayet-Iliopoulos (FI) terms and anomalies. These terms can be consistently added, breaking neither local supersymmetry nor gauge symmetry. In the framework of supergravity the localized FI term arises as the boundary completion of a bulk interaction term: given the bulk Lagrangian the FI is fixed by gauge invariance.

2002

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