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We define a class of "optimal" coordinate systems by requiring that the deviation from an exact Robertson-Walker metric is "as small as possible" within a given four dimensional volume. The optimization is performed by minimizing several…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Dieter Gromes

We discuss the computation of the quantum effective action of strongly interacting field theories using holographic duality, and its use to determine quasi-equilibrium parameters of first order phase transitions relevant for gravitational…

High Energy Physics - Theory · Physics 2022-03-31 Fëanor Reuben Ares , Oscar Henriksson , Mark Hindmarsh , Carlos Hoyos , Niko Jokela

M-theory accessed via eleven-dimensional supergravity admits globally consistent warped solutions with eight-dimensional compact spaces if background fluxes and higher derivative terms are considered. The internal background is conformally…

High Energy Physics - Theory · Physics 2014-12-17 Thomas W. Grimm , Tom G. Pugh , Matthias Weissenbacher

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

The effective action for quantum fields on a $d$-dimensional spacetime can be computed using a non local expansion in powers of the curvature. We show explicitly that, for conformal fields and up to quadratic order in the curvature, the non…

High Energy Physics - Theory · Physics 2009-10-31 Ezequiel Alvarez , Francisco D. Mazzitelli

The SL(2,R) invaraint ten dimensional type IIB superstring effective action is compactified on a torus to D spacetime dimensions. The transformation properties of scalar, vector and tensor fields, appearing after the dimensional reduction,…

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

N=2 closed strings have been recently divided in hep-th/0211147 to two T-dual families denoted by \alpha and \beta. In (2,2) signature both families have one scalar in the spectrum. The scalar in the \beta-string is known to be a…

High Energy Physics - Theory · Physics 2009-11-10 Dan Gluck , Yaron Oz , Tadakatsu Sakai

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We present the complete toroidal compactification of the Gauss-Bonnet Lagrangian from D dimensions to (D-n) dimensions. Our goal is to investigate the resulting action from the point of view of the "U-duality" symmetry SL(n+1,R) which is…

High Energy Physics - Theory · Physics 2009-05-20 Ling Bao , Johan Bielecki , Martin Cederwall , Bengt E. W. Nilsson , Daniel Persson

The use of master actions to prove duality at quantum level becomes cumbersome if one of the dual fields interacts nonlinearly with other fields. This is the case of the theory considered here consisting of U(1) scalar fields coupled to a…

High Energy Physics - Theory · Physics 2009-11-11 D. Dalmazi , Elias L. Mendonca

We consider $E_8\times E_8$ heterotic compactifications on $K3$ and $K3\times T^2$. The idea of heterotic/heterotic duality in $D=6$ has difficulties for generic compactifications since for large dilaton values some gauge groups acquire…

High Energy Physics - Theory · Physics 2009-10-30 G. Aldazabal , A. Font , L. E. Ibanez , F. Quevedo

The infrared problem of the effective action in 2D is discussed in the framework of the Covariant Perturbation Theory. The divergences are regularised by a mass and the leading term is evaluated up to the third order of perturbation theory.…

General Relativity and Quantum Cosmology · Physics 2009-01-07 D. Hofmann , W. Kummer

T-duality realized on SuperD-brane effective actions probing in constant $G_{mn}$ and $b_{mn}$ backgrounds is studied from a pure world volume point of view. It is proved that requiring {\em T-duality covariance} of such actions ``fixes''…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Kamimura , Joan Simon

We propose a manifestly U-duality invariant modular form for the D^6 R^4 interaction in the effective action of type IIB string theory compactified on T^2. It receives perturbative contributions upto genus three, as well as non-perturbative…

High Energy Physics - Theory · Physics 2008-11-26 Anirban Basu

Biconformal gauging of the conformal group has a scale-invariant volume form, permitting a single form of the action to be invariant in any dimension. We display several 2n-dim scale-invariant polynomial actions and a dual action. We solve…

High Energy Physics - Theory · Physics 2009-10-31 A. Wehner , J. T. Wheeler

We consider Hull's doubled formalism for open strings on D-branes in flat space and construct the corresponding effective double field theory. We show that the worldsheet boundary conditions of the doubled formalism describe in a unified…

High Energy Physics - Theory · Physics 2011-12-08 Cecilia Albertsson , Shou-Huang Dai , Pei-Wen Kao , Feng-Li Lin

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

The paper deals with the optimal control problem described by second order evolution differential inclusions; to this end first we use an auxiliary problem with second order discrete and discrete-approximate inclusions. Then applying…

Optimization and Control · Mathematics 2019-06-18 Elimhan N. Mahmudov

Four-graviton couplings in the low energy effective action of type II string vacua compactified on tori are strongly constrained by supersymmetry and U-duality. While the $R^4$ and $D^4 R^4$ couplings are known exactly in terms of…

High Energy Physics - Theory · Physics 2015-06-23 Boris Pioline

It has been shown that, by adding an extra free field that decouples from the dynamics, one can construct actions for interacting 2n-form fields with self-dual field strengths in 4n+2 dimensions. In this paper we analyze canonical…

High Energy Physics - Theory · Physics 2020-02-19 Ashoke Sen