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We find the propagator and calculate the tree level scattering amplitude between two covariantly conserved sources in an Anti-de Sitter background for the most general D-dimensional quadratic, four-derivative, gravity with a Pauli-Fierz…

High Energy Physics - Theory · Physics 2010-01-15 Ibrahim Gullu , Bayram Tekin

In this work, we study the higher-derivative massive gravity in $D$-dimensional space-time with the mass term arisen due to a 2-brane embedded in a $4D$ Minkowski spacetime. We consider the effect of a resonance mass term from the DGP…

High Energy Physics - Theory · Physics 2022-08-19 C. A. S. Almeida , W. T. Cruz , R. V. Maluf , A. Yu. Petrov , P. J. Porfirio

When generalizing the principle of least action for fields containing higher order derivatives, in general, it is not possible not to take into account the surface integrated term since it gives direct contribution to the forms of the…

High Energy Physics - Theory · Physics 2008-07-29 Nguyen Duc Minh

Higher derivative couplings of hypermultiplets to $6D, N=(1,0)$ supergravity are obtained from dimensional reduction of 10D heterotic supergravity that includes order $\alpha'$ higher derivative corrections. Reduction on $T^4$ is followed…

High Energy Physics - Theory · Physics 2022-03-30 Hao-Yuan Chang , Ergin Sezgin , Yoshiaki Tanii

This study explores the gravitational collapse of a massless scalar field within Quadratic Gravity treated as a dimension-four operator Effective Field Theory extension to General Relativity. The additional degrees of freedom associated…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Ramiro Cayuso

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We study $(2,2)$ and $(4,4)$ supersymmetric theories with superspace higher derivatives in two dimensions. A characteristic feature of these models is that they have several different vacua, some of which break supersymmetry. Depending on…

High Energy Physics - Theory · Physics 2017-04-11 Fotis Farakos , Pavel Kočí , Rikard von Unge

In numerical studies of diffusive dynamics, two different action functionals are often used to specify the probability distribution of trajectories, one of which requiring the evaluation of the second derivative of the potential in addition…

Statistical Mechanics · Physics 2008-10-28 Artur B. Adib

Movement primitives are an important policy class for real-world robotics. However, the high dimensionality of their parametrization makes the policy optimization expensive both in terms of samples and computation. Enabling an efficient…

Robotics · Computer Science 2020-03-06 Samuele Tosatto , Jonas Stadtmueller , Jan Peters

We analyze the perturbative implications of the most general high derivative approach to quantum gravity based on a diffeomorphism invariant local action. In particular, we consider the super-renormalizable case with a large number of…

High Energy Physics - Theory · Physics 2009-10-30 M. Asorey , J. L. López , I. L. Shapiro

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in…

High Energy Physics - Theory · Physics 2007-05-23 R. Banerjee , C. Wotzasek

We are interested in derivative-free optimization of high-dimensional functions. The sample complexity of existing methods is high and depends on problem dimensionality, unlike the dimensionality-independent rates of first-order methods.…

Machine Learning · Computer Science 2020-04-28 Ozan Sener , Vladlen Koltun

A new class of non-static higher dimensional vacuum solutions in space-time -mass (STM) theory of gravity is found. This solution represent expanding universe without big bang singularity and the higher dimension of these models shrinks as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. S. Khadekar , Shilpa Samdurkar

This paper is mainly concerned with the construction of new off-shell higher spin N=1 supermultiplets in three spacetime dimensions. We elaborate on the gauge prepotentials and linearised super-Cotton tensors for higher spin N=1…

High Energy Physics - Theory · Physics 2016-11-28 Sergei M. Kuzenko , Mirian Tsulaia

We discuss lowering the order of the two-dimensional scalar-tensor $R^2$ quantum gravity, by mapping the most general version of the model to a multi-dilaton gravity, which is essentially the sigma-model coupled with Jackiw-Teitelboim-like…

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

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

We present a pedagogical discussion of the emergence of gauged supergravities from M-theory. First, a review of maximal supergravity and its global symmetries and supersymmetric solutions is given. Next, different procedures of dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Diederik Roest

A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms…

Optimization and Control · Mathematics 2018-05-21 Jan Feiling , Amelie Zeller , Christian Ebenbauer

A general formalism for obtaining the Lagrangian and Hamiltonian for a one dimensional dissipative system is developed. The formalism is illustrated by applying it to the case of a relativistic particle with linear dissipation. The…

Quantum Physics · Physics 2007-05-23 G. Gonzalez

The superform construction of supergravity actions, christened the "ectoplasm method," is based on the use of a closed super d-form in the case of d space-time dimensions. In known examples, such superforms are obtained by iteratively…

High Energy Physics - Theory · Physics 2010-04-30 S. J. Gates , S. M. Kuzenko , G. Tartaglino-Mazzucchelli