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We present a general formula for the Wess-Zumino action associated with the Weyl anomaly, given in a curved background for any even number of dimensions. The result is obtained by considering a finite Weyl transformation of counterterms in…

High Energy Physics - Theory · Physics 2015-06-16 Florent Baume , Boaz Keren-Zur

We extend a previous analysis on the derivation of the dilaton Wess-Zumino (WZ) action in $d=4$, based on the method of Weyl gauging, to $6$ dimensions. As in the previous case, we discuss the structure of the same action in dimensional…

High Energy Physics - Theory · Physics 2015-06-17 Claudio Coriano , Luigi Delle Rose , Carlo Marzo , Mirko Serino

We present a general method of deriving the effective action for conformal anomalies in any even dimension, which satisfies the Wess-Zumino consistency condition by construction. The method relies on defining the coboundary operator of the…

High Energy Physics - Theory · Physics 2009-11-07 Pawel O. Mazur , Emil Mottola

The dilaton action in 3+1 dimensions plays a crucial role in the proof of the a-theorem. This action arises using Wess-Zumino consistency conditions and crucially relies on the existence of the trace anomaly. Since there are no anomalies in…

High Energy Physics - Theory · Physics 2013-05-30 Arpan Bhattacharyya , Ling-Yan Hung , Kallol Sen , Aninda Sinha

Recently, the possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been very extensively discussed in the cosmological context. The term is added as a…

High Energy Physics - Theory · Physics 2022-03-23 Claudio Corianò , Matteo Maria Maglio

It is shown that the explicit calculation of the Wess-Zumino functional pertaining to the breaking term of the Weyl symmetry for the Einstein-Hilbert action allows to restore the Weyl symmetry by introducing the extra dilaton field as…

High Energy Physics - Theory · Physics 2016-07-22 J. Attard , S. Lazzarini

The effective one-loop action for general dilaton theories with arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking flux to infinity from black holes in…

High Energy Physics - Theory · Physics 2016-08-25 W. Kummer , D. V. Vassilevich

We use the method of Weyl-gauging in the determination of the Wess-Zumino conformal anomaly action, to show that in any even ($d = 2 k$) dimensions all the hierarchy of correlation functions involving traces of the energy-momentum tensor is…

High Energy Physics - Theory · Physics 2015-06-16 Claudio Coriano , Luigi Delle Rose , Carlo Marzo , Mirko Serino

We consider ${\cal N} =1$ supersymmetric gauge theories in the conformal window. The running of the gauge coupling is absorbed into the metric by applying a suitable matter superfield- and Weyl-transformation. The computation becomes…

High Energy Physics - Theory · Physics 2016-02-17 Vladimir Prochazka , Roman Zwicky

Theories with extra-dimensional coordinates provide interesting mechanisms to achieve the rupture of symmetries. Here we present a novel alternative to the usual geometric considerations to achieve supersymmetric breaking for an…

High Energy Physics - Theory · Physics 2014-07-03 J. D. García-Aguilar , A. Pérez-Lorenzana

We elaborate on anomaly induced actions of the Wess-Zumino (WZ) form and their relation to the renormalized effective action, which is defined by an ordinary path integral over a conformal sector, in an external gravitational background. In…

High Energy Physics - Theory · Physics 2023-08-21 Claudio Corianò , Mario Cretì , Matteo Maria Maglio

The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been extensively discussed in the cosmological context. The term is added as a quadratic…

High Energy Physics - Theory · Physics 2022-05-10 Claudio Corianò , Mario Cretì , Stefano Lionetti , Matteo Maria Maglio , Riccardo Tommasi

Kaluza-Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions. Assuming circular symmetry leads to explicit…

Mathematical Physics · Physics 2008-11-26 D. Grumiller , R. Jackiw

It is shown that Wess-Zumino-Witten (WZW) type actions can be constructed in odd dimensional space-times using Wilson line or Wilson loop. WZW action constructed using Wilson line gives anomalous gauge variations and the WZW action…

High Energy Physics - Theory · Physics 2008-11-26 Wei Liao

Supersymmetry breaking and compactification of extra space-time dimensions may have a common dynamical origin if our universe is spontaneously generated in the form of a four-dimensional topological or non-topological defect in higher…

High Energy Physics - Theory · Physics 2009-10-30 G. Dvali , M. Shifman

The Kaluza-Klein compactification in the limit of large number of extra dimensions is studied. Starting point is the Einstein-Hilbert action plus cosmological constant in 4+D dimensions. It is shown that in the large D limit the effective…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Fabrizio Canfora , Alex Giacomini , Alfonso R. Zerwekh

We discuss the Kaluza-Klein reduction of spaces with (anti-)self-dual Weyl tensor and point out the emergence of the Einstein-Weyl equations for the reduction from four to three dimensions. As a byproduct we get a simple expression for the…

Mathematical Physics · Physics 2008-11-26 D. Grumiller , R. Jackiw

We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ supergravity in six dimensions, using a Kaluza-Klein-type $5+1$ split of coordinates and fields. We provide in particular a significantly simplified…

High Energy Physics - Theory · Physics 2022-09-14 Yannick Bertrand , Stefan Hohenegger , Olaf Hohm , Henning Samtleben

The dilaton is investigated from first principles in an asymptotically free Gross-Neveu-Yukawa theory in three dimensions. In the limit of many fermion flavours, the theory features a finite line of strongly interacting fixed points with…

High Energy Physics - Theory · Physics 2025-02-04 Charlie Cresswell-Hogg , Daniel F. Litim , Roman Zwicky

It is shown that the anomaly inflow mechanism can be implemented using Wilson line in odd dimensional gauge theories. An action of Wess-Zumino-Witten (WZW) type can be constructed using Wilson line. The action is understood in the odd…

High Energy Physics - Theory · Physics 2008-11-26 Wei Liao
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