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We consider static, nonabelian solutions in N=4, D=5 Romans' gauged supergravity model. Numerical arguments are presented for the existence of asymptotically anti-de Sitter configurations in the $N=4^+$ version of the theory, with a dilaton…

High Energy Physics - Theory · Physics 2009-11-11 Eugen Radu

This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variants of small-gain stability conditions for coupled systems,…

Dynamical Systems · Mathematics 2023-08-11 Vitalii Slynko , Sergey Dashkovskiy , Ivan Atamas

Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in $2+\epsilon$ dimensions and has a smooth $\epsilon\to 0$ limit.By performing a renormalization- group study of this last theory we show that the gravitational…

High Energy Physics - Theory · Physics 2009-10-28 E. Elizalde , S. D. Odintsov

The weakly-coupled heterotic string is known to have problems of dilaton/moduli stabilization, supersymmetry breaking (by hidden-sector gaugino condensation), gauge coupling unification (or the Newton's constant), QCD axion, as well as…

High Energy Physics - Theory · Physics 2007-05-23 Yi-Yen Wu

An action for two dimensional gravity conformally coupled to two dilaton-type fields is analysed. Classically, the theory has some exact solutions. These include configurations representing black holes. A semi-classical theory is obtained…

High Energy Physics - Theory · Physics 2010-11-01 Noureddine Mohammedi

A concise method is presented for the non-perturbative computation of the counterterms renormalising 2PI-actions. The procedure is presented for a real scalar field up to lambda^2 order in the skeleton truncation of Gamma_2PI with respect…

High Energy Physics - Phenomenology · Physics 2009-11-13 A. Patkos , Zs. Szep

Static solutions with a bulk dilaton are derived in the context of six dimensional warped compactification. In the string frame, exponentially decreasing warp factors are identified with critical points of the low energy $\beta$-functions…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Giovannini

We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$ supersymmetric gauge theories by the instanton calculus in twisted gauge theories. We re-examine the low-energy effective abelian theory in the presence of sources and…

High Energy Physics - Theory · Physics 2017-09-07 Andrei Losev , Nikita Nekrasov , Samson Shatashvili

A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

The on-shell regularization of the one-loop divergences of supergravity theories is generalized to include a dilaton of the type occurring in effective field theories derived from superstring theory, and the superfield structure of the…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

Considering the linearized gravity with matter fields, the effective potential of the ``conformal dilaton'' in the string frame is generated semiclassically by one-loop contribution of heavy matter fields. This in turn generates a…

High Energy Physics - Theory · Physics 2007-05-23 HoSeong La

A new approach is provided to determine the dilaton--antisymmetric tensor coupling in a supergravity theory by considering the static supersymmetric field configuration around a super extended object, which is consistently formulated in a…

High Energy Physics - Theory · Physics 2009-10-22 J. X. Lu

Resummations of infinite sets of higher-order perturbative contributions are often needed both in thermal field theory and at zero temperature. For instance, the behaviour of the Standard Model (SM) effective potential extrapolated to very…

High Energy Physics - Phenomenology · Physics 2015-08-03 Apostolos Pilaftsis , Daniele Teresi

Motivated by a class of flux compactifications of type IIA strings on rigid Calabi-Yau manifolds, preserving N=2 local supersymmetry in four dimensions, we derive a non-perturbative potential of all scalar fields from the exact D-instanton…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Sergei V. Ketov , Yuki Wakimoto

We construct a superpotential for the general N=1/2 supersymmetric gauge theory coupled to chiral matter in the fundamental and adjoint representations, and investigate the one-loop renormalisability of the theories.

High Energy Physics - Theory · Physics 2008-11-26 I. Jack , D. R. T. Jones , L. A. Worthy

General N=(1,1) dilaton supergravity in two dimensions allows a background independent exact quantization of the geometric part, if these theories are formulated as specific graded Poisson-sigma models. The strategy developed for the…

High Energy Physics - Theory · Physics 2009-11-10 L. Bergamin , D. Grumiller , W. Kummer

The effective potential of the Standard Model (SM), from three loop order and higher, suffers from infra-red (IR) divergences arising from quantum effects due to massless would-be Goldstone bosons associated with the longitudinal…

High Energy Physics - Phenomenology · Physics 2016-06-29 Apostolos Pilaftsis , Daniele Teresi

Two models of dilatonic gravity are investigated: (i) dilaton-Yang-Mills gravity and (ii) higher-derivative dilatonic gravity. Both are renormalizable in $2+\epsilon$ dimensions and have a smooth limit for $\epsilon \rightarrow 0$. The…

High Energy Physics - Theory · Physics 2016-09-06 E. Elizalde , S. D. Odintsov

We investigate the dependence of the gauge couplings on the dilaton field in string effective theories at the one--loop level. First we resolve the discrepancies between statements based on symmetry considerations and explicit calculations…

High Energy Physics - Theory · Physics 2009-10-22 P. Mayr , S. Stieberger

In this work, we address the problem of finite-time stabilization for a class of bilinear system. We propose a decomposition-based approach in which the nominal system is split into two subsystems, one of which is inherently finite-time…

Optimization and Control · Mathematics 2025-06-26 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra