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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 non-compact spaces, using…

High Energy Physics - Theory · Physics 2009-11-10 C. A. Scrucca , M. Serone

In double field theory, motivated by its field theoretic consistency, the level matching condition is generalized to the so-called strong constraint. In this note, it is investigated what the two-dimensional conformal field theory origin of…

High Energy Physics - Theory · Physics 2015-06-18 Andre Betz , Ralph Blumenhagen , Dieter Lust , Felix Rennecke

We consider geometric and analytical aspects of M-theory on a manifold with boundary Y. The partition function of the C-field requires summing over harmonic forms. When Y is closed Hodge theory gives a unique harmonic form in each de Rham…

High Energy Physics - Theory · Physics 2012-04-03 Hisham Sati

We classify possible `self-duality' equations for p-form gauge fields in space-time dimension up to D=16, generalizing the pioneering work of Corrigan et al. (1982) on Yang-Mills fields (p=1) for D from 5 to 8. We impose two crucial…

High Energy Physics - Theory · Physics 2009-10-31 Laurent Baulieu , Celine Laroche

One of the major problems in developing new physics scenarios is that very often the parameters can be adjusted such that in perturbation theory almost all experimental low-energy results can be accommodated. It is therefore desirable to…

High Energy Physics - Phenomenology · Physics 2015-08-18 Axel Maas

It is shown that in the weak field approximation the new geometrical approach can lead to the linear field equations for the several independent fields. For the stronger fields and in the second order approximation the field equations…

Mathematical Physics · Physics 2007-09-18 G. I. Garas'ko

We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to…

High Energy Physics - Theory · Physics 2016-07-14 Xavier Bekaert , Jeong-Hyuck Park

We explicitly describe, in the language of four-dimensional N=1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2009-12-15 Lara B. Anderson , James Gray , Andre Lukas , Burt Ovrut

We present a moduli dependent target space effective field theory action for (truncated) heterotic string toroidal compactifications. When moving continuously along moduli space, the stringy gauge symmetry enhancement-breaking effects,…

High Energy Physics - Theory · Physics 2019-03-27 G. Aldazabal , E. Andrés , M. Mayo , V. Penas

Just comparing with the scenario that the (3+1)-dimensional "real world" of the Calabi-Yau compactification has a tremendous landscape, we conjecture that a (4+1)-dimensional holographic theory may also hold a landscape of its vacua. Unlike…

High Energy Physics - Phenomenology · Physics 2009-12-03 Cong-Xin Qiu

The divergence theorem in its usual form applies only to suitably smooth vector fields. For vector fields which are merely piecewise smooth, as is natural at a boundary between regions with different physical properties, one must patch…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Tevian Dray , Charles Hellaby

We extend the known consistency conditions on the low-energy theory of six-dimensional N = 1 supergravity. We review some facts about the theory of two-form gauge fields and conclude that the charge lattice Gamma for such a theory has to be…

High Energy Physics - Theory · Physics 2015-05-27 Nathan Seiberg , Washington Taylor

New features are described for models with multi-particle area-dependent potentials, in any number of dimensions. The corresponding many-body field theories are investigated for classical configurations. Some explicit solutions are given,…

High Energy Physics - Theory · Physics 2009-11-07 Thomas Curtright

The development of the theory of three-dimensional harmonic mappings is considered. The new classes of mappings that generate three-dimensional harmonic functions are introduced. The physical interpretation of these mappings is applied to…

General Physics · Physics 2012-05-04 Andrey Petrin

By compactifying gauge theories on a lower dimensional manifold, we often find many interesting relationships between a geometry and a supersymmetric quantum field theory. In this paper we consider conformal field theories obtained from…

High Energy Physics - Theory · Physics 2016-01-27 Koichi Nagasaki

Physics beyond the standard model can affect top-quark physics indirectly. We describe the effective field theory approach to describing such physics, and contrast it with the vertex-function approach that has been pursued previously. We…

High Energy Physics - Phenomenology · Physics 2010-08-19 Cen Zhang , Scott Willenbrock

The effects of boundary conditions of the fields for the compactified space directions on the supersymmetric theories are discussed. The boundary conditions can be taken to be periodic up to the degrees of freedom of localized $U(1)_{R}$…

High Energy Physics - Theory · Physics 2009-10-30 Kazunori Takenaga

Covariance is a useful property for handling supergravity theories. In this paper, we prove a covariance property of supergravity field equations: under reasonable conditions, field equations of supergravity are covariant modulo other field…

High Energy Physics - Theory · Physics 2018-02-14 Bram Vanhecke , Antoine Van Proeyen

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , A. Nieto , O. Obregon , C. Ramirez

We construct Exceptional Field Theory for the group $SO(5,5)$ based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal $D=6$ supergravity. We present both a true action and a duality-invariant…

High Energy Physics - Theory · Physics 2015-06-24 Aidar Abzalov , Ilya Bakhmatov , Edvard T. Musaev