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In a wide class of D-dimensional spacetimes which are direct or semi-direct sums of a (D-n)-dimensional space and an n-dimensional homogeneous ``internal'' space, a field can be decomposed into modes. As a result of this mode decomposition,…

High Energy Physics - Theory · Physics 2009-10-31 V. Frolov , P. Sutton , A. Zelnikov

Conformal Weyl and Cotton tensors are dimensionally reduced by a Kaluza-Klein procedure. Explicit formulas are given for reducing from four and three dimensions to three and two dimensions, respectively. When the higher dimensional…

Mathematical Physics · Physics 2008-04-25 Roman Jackiw

We construct the analogue of the Dirac-Born-Infeld (DBI) action in Weyl conformal geometry in $d$ dimensions and obtain a general theory of gravity with Weyl gauge symmetry of dilatations (Weyl-DBI). This is done in the Weyl gauge covariant…

High Energy Physics - Theory · Physics 2025-03-11 D. M. Ghilencea

The AdS/CFT equivalence transformation is a field redefinition that relates the Weyl dilaton and AdS brane realizations of broken conformal symmetry. Acting on theories with second order equations of motion, it maps the conformal galileons…

High Energy Physics - Theory · Physics 2025-08-05 Kurt Hinterbichler , Samanta Saha

We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. Using the uniqueness of the effective…

High Energy Physics - Theory · Physics 2011-03-28 Adam Schwimmer , Stefan Theisen

Using the formulation for N=2 conformal supergravity in SU(2) superspace, we define super-Weyl (or superconformal) anomalies and construct two types of nonlocal effective actions that generate these anomalies. We also present the local…

High Energy Physics - Theory · Physics 2015-06-16 Sergei M. Kuzenko

We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-dimensional manifolds to the category of line bundles with…

Differential Geometry · Mathematics 2007-05-23 Tosiaki Kori

We develop a field-theoretical approach to determination of the background target space fields corresponding to general $G/H$ coset conformal theories described by gauged WZW models. The basic idea is to identify the effective action of a…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We study effective actions for simultaneous breaking of space-time and internal symmetries. Novel features arise due to the mixing of Goldstone modes under the broken symmetries which, in contrast to the usual Adler's zero, leads to…

High Energy Physics - Theory · Physics 2016-11-04 Massimo Bianchi , Andrea L. Guerrieri , Yu-tin Huang , Chao-Jung Lee , Congkao Wen

Nonlinear supersymmetry is used to compute the general form of the effective D-brane action in type I string theory compactified to four dimensions in the presence of internal magnetic fields. In particular, the scalar potential receives…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , J. P. Derendinger , T. Maillard

Two-dimensional sigma models are defined for the new manifestly spacetime supersymmetric description of four-dimensional compactified superstrings. The resulting target-superspace effective action is constrained by the way the spacetime…

High Energy Physics - Theory · Physics 2009-10-28 Nathan Berkovits , Warren Siegel

Starting from the Wess-Zumino action associated to the super Weyl anomaly, we determine the local counterterm which allows to pass from this anomaly to the chirally split superdiffeomorphism anomaly (as defined on a compact super Riemann…

High Energy Physics - Theory · Physics 2010-04-06 Jean-Pierre Ader , Francois Gieres , Yves Noirot

We reformulate the Born-Infeld action, coupled to an axion and a dilaton in a duality manifest way. This action is the generalization of the Schwarz-Sen action for non-linear electrodynamics. We show that this action may be obtained by…

High Energy Physics - Theory · Physics 2009-10-30 D. S. Berman

The action for 2d dilatonic supergravity with dilaton coupled matter and dilaton multiplets is constructed. Trace anomaly and anomaly induced effective action (in components as well as in supersymmetric form) for matter supermultiplet on…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

The spherically symmetric reduction of higher dimensional Einstein-scalar theory leads to lower dimensional dilatonic gravity with dilaton coupled scalar (for example, from 4D to 2D system). We calculate trace anomaly and anomaly induced…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

It is shown that, with the only exception of $n=2$, the Einstein-Hilbert action in $n+D+d$ dimensions, with $n$ times, is invariant under the duality transformation $a\to \frac{1}{a}$ and $b\to \frac{1}{b}$, where $a$ is a…

High Energy Physics - Theory · Physics 2009-11-10 J. A. Nieto , M. P. Ryan , O. Velarde , C. M. Yee

The ten dimensional heterotic string effective action with graviton, dilaton and antisymmetric tensor fields is dimensionally reduced to two spacetime dimensions. The resulting theory, with some constraints on backgrounds, admits infinite…

High Energy Physics - Theory · Physics 2016-09-06 Jnanadeva Maharana

We analyze the backreaction of dilaton tadpoles on the geometry of non-supersymmetric strings. After finding explicit warped solutions for a T-dual version of the Sugimoto model, we examine the possibility of realizing large extra dimension…

High Energy Physics - Theory · Physics 2009-10-31 Ralph Blumenhagen , Anamaria Font

Using the results of the calculation of the one-loop effective action (E. Elizalde et al , Phys.Rev. D49 (1994) 2852), we find the trace anomaly for most general conformally invariant 2D dilaton coupled scalar-dilaton system (the…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , S. D. Odintsov

We study a systematic derivation of four dimensional $\mathcal{N}=1$ supersymmetric effective theory from ten dimensional non-Abelian Dirac-Born-Infeld action compactified on a six dimensional torus with magnetic fluxes on the D-branes. We…

High Energy Physics - Theory · Physics 2022-01-05 Yoshihiko Abe , Tetsutaro Higaki , Tatsuo Kobayashi , Shintaro Takada , Rei Takahashi