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The manifestly gauge invariant formulation for free symmetric partially massless fields in $(A)dS_d$ is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of $(o(d-1,2)) o(d,1)$…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

We reveal non-manifest gauge and SO(1,5) Lorentz symmetries in the Lagrangian description of a six-dimensional free chiral field derived from the Bagger-Lambert-Gustavsson model in arXiv:0804.3629 and make this formulation covariant with…

High Energy Physics - Theory · Physics 2009-11-05 Paolo Pasti , Igor Samsonov , Dmitri Sorokin , Mario Tonin

In this paper, we investigate a three-dimensional gravitational model known as Minimal Massive Gravity (MMG), which includes an auxiliary field, using the covariant phase space method. Our analysis reveals the presence of three gauge…

High Energy Physics - Theory · Physics 2025-07-24 Kang Liu , Xiao-Mei Kuang

Bagger-Lambert-Gustavsson theory with infinite dimensional gauge group has been suggested to describe M5-brane as a condensation of multiple M2-branes. Here we perform a topological twisting of the Bagger-Lambert-Gustavsson theory. The…

High Energy Physics - Theory · Physics 2008-11-26 Kanghoon Lee , Sangmin Lee , Jeong-Hyuck Park

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom can be done for scalar theory and gravity…

High Energy Physics - Theory · Physics 2013-10-02 Lasma Alberte , Andrei Khmelnitsky

By examining the previously known holographic N=2 supersymmetric renormalization group flow solution in four dimensions, we describe the mass-deformed Bagger-Lambert theory, that has SU(3)_I x U(1)_R symmetry, by the addition of mass term…

High Energy Physics - Theory · Physics 2009-12-10 Changhyun Ahn

In this paper we will discuss the effect of a having a boundary on the supersymmetric invariance and gauge invariance of the Bagger-Lambert-Gustavsson (BLG) Theory. We will show that even though the supersymmetry and gauge invariance of the…

High Energy Physics - Theory · Physics 2015-06-04 Mir Faizal

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen C. Anco

Using the action of three dimensional New Massive Gravity (NMG) we construct a new bi-gravity in three dimensions. This can be done by promoting the rank two auxiliary field appearing in the expression of NMG's action into a dynamical…

High Energy Physics - Theory · Physics 2016-05-31 Amin Akhavan , Mohsen Alishahiha , Ali Naseh , Azadeh Nemati , Ahmad Shirzad

We give a brief review of Bagger-Lambert-Gustavsson (BLG) model, with emphasis on its version invariant under the volume preserving diffeomorphisms (SDiff3) symmetry. We describe the on-shell superfield formulation of this SDiff3 BLG model…

High Energy Physics - Theory · Physics 2010-04-14 Igor A. Bandos

Relativistic field theories with a power law decay in $r^{-k}$ at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance. Most of these are not related in any obvious way to symmetry…

High Energy Physics - Theory · Physics 2019-06-26 Marc Henneaux , Cedric Troessaert

A four-dimensional N=2 supersymmetric non-linear sigma-model with the Eguchi-Hanson (ALE) target space and a non-vanishing central charge is rewritten to a classically equivalent and formally renormalizable gauged `linear' sigma-model over…

High Energy Physics - Theory · Physics 2015-06-26 Sergei V. Ketov

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

Based on recent developments, in this letter we study the one parameter deformation of 2+1 dimensional gauge theories with scale invariance and N = 8 supersymmetry, which is expected to be the field theory living on a stack of M2 branes.…

High Energy Physics - Theory · Physics 2011-03-14 Yushu Song

We present a Lagrangian formulation for ${\cal N}=8$ superconformal field theories in three spacetime dimensions that is general enough to encompass infinite-dimensional gauge algebras that generally go beyond Lie algebras. To this end we…

High Energy Physics - Theory · Physics 2019-05-01 Olaf Hohm , Henning Samtleben

Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor…

High Energy Physics - Theory · Physics 2017-09-20 Fabio Apruzzi , Falk Hassler , Jonathan J. Heckman , Ilarion V. Melnikov

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

A mechanism is presented through which very light scalar degrees of freedom obeying the nonlinear sigma model equation can emerge in spontaneously broken gauge theories. The mechanism operates in extra dimensional theories in which a) there…

High Energy Physics - Phenomenology · Physics 2016-09-01 Neil Turok

The so called "New Massive Gravity" in $D=2+1$ consists of the Einstein-Hilbert action (with minus sign) plus a quadratic term in curvatures ($K$-term). Here we perform the Kaluza-Klein dimensional reduction of the linearized $K$-term to…

High Energy Physics - Theory · Physics 2015-06-18 H. A. Biazotti , D. Dalmazi , G. B. de Gracia

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars