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We construct the 12-dimensional exceptional field theory associated to the group $\mathrm{SL}(2) \times \mathbb{R}^+$ . Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that…

High Energy Physics - Theory · Physics 2017-10-10 David S. Berman , Chris D. A. Blair , Emanuel Malek , Felix J. Rudolph

We discuss the criteria that must be satisfied by a well-posed variational principle. We clarify the role of Gibbons-Hawking-York type boundary terms in the actions of higher derivative models of gravity, such as F(R) gravity, and argue…

General Relativity and Quantum Cosmology · Physics 2010-04-28 Ethan Dyer , Kurt Hinterbichler

In this paper we derive part of the low energy action corresponding to F-theory compactifications on specific eight manifolds with SU(3) structure. The setup we use can actually be reduced to compactification of six-dimensional supergravity…

High Energy Physics - Theory · Physics 2011-12-12 Andrei Micu

Fractons and other subdimensional particles are an exotic class of emergent quasi-particle excitations with severely restricted mobility. A wide class of models featuring these quasi-particles have a natural description in the language of…

Strongly Correlated Electrons · Physics 2019-08-21 Kevin Slagle , Abhinav Prem , Michael Pretko

A systematic way of generating sets of local boundary conditions on the gauge fields in a path integral is presented. These boundary conditions are suitable for one--loop effective action calculations on manifolds with boundary and for…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Ian G. Moss , Pedro J. Silva

The ten-dimensional supergravity theory is a geometric low-energy effective theory and the equations of motion for its fields can be obtained from string theory by computing $\beta$ functions. With $d$ compact dimensions, we can add to it…

High Energy Physics - Theory · Physics 2018-03-14 Chen-Te Ma , Franco Pezzella

The (heterotic) double field theories and the exceptional field theories are recently developed for manifestly duality covariant formulation of various supergravity theories, describing low-energy limit of various (heterotic) superstring…

High Energy Physics - Theory · Physics 2017-08-02 Kanghoon Lee , Soo-Jong Rey , Yuho Sakatani

We study the consequences of the presence of a boundary in topological field theories in various dimensions. We characterize, univocally and on very general grounds, the field content and the symmetries of the actions which live on the…

High Energy Physics - Theory · Physics 2014-12-17 Andrea Amoretti , Alessandro Braggio , Giacomo Caruso , Nicola Maggiore , Nicodemo Magnoli

Part I of this paper introduced the infinite dimensional Lagrange-Dirac theory for physical systems on the space of differential forms over a smooth manifold with boundary. This approach is particularly well-suited for systems involving…

Symplectic Geometry · Mathematics 2025-11-11 François Gay-Balmaz , Álvaro Rodríguez Abella , Hiroaki Yoshimura

The purpose of this paper is to explore the supersymmetry invariance of a particular supergravity theory, which we refer to as D=4 generalized AdS-Lorentz deformed supergravity, in the presence of a non-trivial boundary. In particular, we…

High Energy Physics - Theory · Physics 2018-12-31 A. Banaudi , L. Ravera

In this paper I present an action principle for odd dimensional AdS gravity which consists of introducing another manifold with the same boundary and a very specific boundary term. This new action allows and alternative approach to the…

High Energy Physics - Theory · Physics 2007-08-23 Pablo Mora

We propose quantum gravitational constraints on effective four-dimensional theories with N=1 supersymmetry. These Swampland constraints arise by demanding consistency of the worldsheet theory of a class of axionic, or EFT, strings whose…

High Energy Physics - Theory · Physics 2023-05-02 Luca Martucci , Nicolo Risso , Timo Weigand

We propose a Lagrangian for the low-energy theory that resides at the (1+1)-dimensional intersection of N semi-infinite M2-branes ending orthogonally on M M5-branes in ${\mathbb R}^{1,2} \times {\mathbb C}^4/{\mathbb Z}_k$ (for arbitrary…

High Energy Physics - Theory · Physics 2016-01-27 Vasilis Niarchos

A brief review is given of three recent results concerning classical solutions of gravitational theories: (1) With asymptotically anti de Sitter boundary conditions, there are matter theories satisfying the positive energy theorem which…

High Energy Physics - Theory · Physics 2014-11-18 Gary T. Horowitz

This thesis deals with the construction of an eleven-dimensional gauge theory, off-shell invariant, for the M Algebra. The theory is built using a Transgression Form as a Lagrangian. In order to accomplish this, one must first analyze the…

High Energy Physics - Theory · Physics 2007-05-23 Fernando Izaurieta

Motivated by quantum mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which has a dimension of length. It is the so called "linear" action. The proposed action is a "square root" of the…

High Energy Physics - Theory · Physics 2017-05-11 George Savvidy

We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff's analysis [1] to include parity-odd terms and explicit symmetry breaking. The…

High Energy Physics - Theory · Physics 2024-04-18 Rémy Larue , Jérémie Quevillon , Roman Zwicky

The equations of motion of the super five-brane in D=11 dimensions are derived using the formalism of superembeddings. The equations describe highly nonlinear self-interactions of a tensor multiplet in the six dimensional worlsurface, and…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , E. Sezgin

We summarize the foliation approach to ${\cal N}=1$ compactifications of eleven-dimensional supergravity on eight-manifolds $M$ down to $\mathrm{AdS}_3$ spaces for the case when the internal part $\xi$ of the supersymmetry generator is…

High Energy Physics - Theory · Physics 2023-09-28 E. M. Babalic , C. I. Lazaroiu

In this review we consider first order gravity in four dimensions. In particular, we focus our attention in formulations where the fundamental variables are a tetrad $e_a^I$ and a SO(3,1) connection ${\omega_{aI}}^J$. We study the most…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Alejandro Corichi , Irais Rubalcava-Garcia , Tatjana Vukasinac
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