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I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

We show how the gauge and field structure of the tensor hierarchies in Double and $E_{7(7)}$ Exceptional Field Theory fits into $L_\infty$ algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and…

High Energy Physics - Theory · Physics 2019-02-07 Yago Cagnacci , Tomas Codina , Diego Marques

Recently, the Effective Field Theory (EFT) of perturbations on an arbitrary background metric with a timelike scalar profile was formulated in the context of scalar-tensor theories. Here, we generalize the dictionary between the…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

Let $E(z,s)$ be the non-holomorphic Eisenstein series for the modular group $SL(2,{\mathbb Z})$. The classical Kronecker limit formula shows that the second term in the Laurent expansion at $s=1$ of $E(z,s)$ is essentially the logarithm of…

Number Theory · Mathematics 2016-10-24 Jay Jorgenson , Cormac O'Sullivan , Lejla Smajlović

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

High Energy Physics - Theory · Physics 2009-11-07 P. de Medeiros , C. Hull

Let A be a central simple algebra over a field F. Let k_1,\ldots, k_r be cyclic extensions of F such that k_1\otimes_F\cdots \otimes_F k_r is a field. We investigate conditions under which A is a tensor product of symbol algebras where each…

Rings and Algebras · Mathematics 2013-10-22 Demba Barry

We investigate the scalar perturbations and the possible strong coupling issues of $f(T)$ around a cosmological background, applying the effective field theory (EFT) approach. We revisit the generalized EFT framework of modified…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Yu-Min Hu , Yaqi Zhao , Xin Ren , Bo Wang , Emmanuel N. Saridakis , Yi-Fu Cai

We use the embedding tensor method to construct the most general maximal gauged/massive supergravity in d=9 dimensions and to determine its extended field content. Only the 8 independent deformation parameters (embedding tensor components,…

High Energy Physics - Theory · Physics 2015-05-28 JJ Fernandez-Melgarejo , T. Ortin , E. Torrente-Lujan

We study the 4D Einstein-Hilbert action extension based on the square of the curvature tensors. Analyses of gauge and perturbation modes are often done considering the Teyssandier gauge condition. Although this approach can be useful for…

General Relativity and Quantum Cosmology · Physics 2025-09-18 Matheus F. S. Alves , L. G. Medeiros , Davi C. Rodrigues

In recent years, it has been widely argued that the duality transformations of string and M-theory naturally imply the existence of so-called `exotic branes'---low codimension objects with highly non-perturbative tensions, scaling as…

High Energy Physics - Theory · Physics 2018-12-26 David S. Berman , Edvard T. Musaev , Ray Otsuki

We present a novel approach to classify supersymmetric effective field theories (EFTs) whose scattering amplitudes exhibit enhanced soft limits. These enhancements arise due to non-linearly realised symmetries on the Goldstone modes of such…

High Energy Physics - Theory · Physics 2020-01-08 Diederik Roest , David Stefanyszyn , Pelle Werkman

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

Antisymmetric tensor gauge fields phi_{ab}(eta) are formulated on the surface of a sphere S_4t(eta^2 = a^2) embedded in five dimensions. The free field model is equivalent to a scalar model on this sphere. Interactions with gauge fields are…

High Energy Physics - Theory · Physics 2009-11-10 D. G. C. McKeon

Let X be a smooth manifold of dimension 1+n endowed with a lorentzian metric g, and let T be the electromagnetic energy tensor associated to a 2-form F. In this paper we characterize this tensor T as the only 2-covariant natural tensor…

General Relativity and Quantum Cosmology · Physics 2012-10-23 J. Navarro , J. B. Sancho

We show that for four dimensional gauge theories in the conformal window, the Euler anomaly, known as the $a$-function, can be computed from a $2$-point function of the trace of the energy momentum tensor making it more amenable to lattice…

High Energy Physics - Theory · Physics 2019-01-16 Vladimir Prochazka , Roman Zwicky

We study nonlinear effective field theories (EFTs) with factorially growing perturbative expansions, focusing on a class in which the relative entropy encodes an infinite tower of higher-dimensional operators. Using the resummed relative…

High Energy Physics - Theory · Physics 2026-04-28 Pietro Conzinu , Daiki Ueda

We derive the Symmetry Topological Field Theories (SymTFTs) for 3d supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric engineering or holography. These 4d SymTFTs encode the symmetry structures of the…

High Energy Physics - Theory · Physics 2023-03-22 Marieke van Beest , Dewi S. W. Gould , Sakura Schafer-Nameki , Yi-Nan Wang

I review the main features of the effective field theory (EFT) behind scenarios of dynamical electroweak symmetry breaking, placing particular emphasis on the systematics and the parallels that can be drawn with Chiral Perturbation Theory.…

High Energy Physics - Phenomenology · Physics 2015-12-23 Oscar Cata

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

High Energy Physics - Theory · Physics 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys

We present the details of the recently constructed $E_{6(6)}$ covariant extension of 11-dimensional supergravity. This theory requires a 5+27 dimensional spacetime in which the `internal' coordinates transform in the $\bar{\bf 27}$ of…

High Energy Physics - Theory · Physics 2015-06-04 Olaf Hohm , Henning Samtleben