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Related papers: Frobenius-Chern-Simons gauge theory

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We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

An action principle is presented for Vasiliev's Bosonic higher spin gauge theory in four spacetime dimensions. The action is of the form of a broken topological field theory, and arises by an extension of the MacDowell-Mansouri formulation…

High Energy Physics - Theory · Physics 2011-02-17 Nima Doroud , Lee Smolin

2-Chern-Simons theory, or more commonly known as 4d BF-BB theory with gauged shift symmetry, is a natural generalization of Chern-Simons theory to 4-dimensional manifolds. It is part of the bestiary of higher-homotopy Maurer-Cartan…

Mathematical Physics · Physics 2026-02-09 Hank Chen

In this paper we study the 3D gauge theory of two tensor gauge fields: $a_{\mu\nu}(x)$, which we take symmetric, and $B_{\mu\nu}(x)$, with no symmetry on its indices. The corresponding invariant action is a higher-rank BF-like model, which…

Strongly Correlated Electrons · Physics 2025-02-03 Erica Bertolini , Alberto Blasi , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

Subject of this work is a class of Chern-Simons field theories with non-semisimple gauge group, which may well be considered as the most straightforward generalization of an Abelian Chern-Simons field theory. As a matter of fact these…

High Energy Physics - Theory · Physics 2014-11-18 Franco Ferrari

A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2015-06-03 Pradip Mukherjee , Biswajit Paul

We provide Vasiliev's fully nonlinear equations of motion for bosonic gauge fields in four spacetime dimensions with an action principle. We first extend Vasiliev's original system with differential forms in degrees higher than one. We then…

High Energy Physics - Theory · Physics 2015-05-27 Nicolas Boulanger , Per Sundell

We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is to a Lie…

High Energy Physics - Theory · Physics 2016-07-25 Alex S. Arvanitakis

We first propose an alternative to Vasiliev's bosonic higher spin gravities in any dimension by factoring out a modified sp(2) gauge algebra. We evidence perturbative equivalence of the two models, which have the same spectrum of Fronsdal…

High Energy Physics - Theory · Physics 2017-12-11 Cesar Arias , Roberto Bonezzi , Per Sundell

We consider a deformation of N=1 supersymmetric gauge theories in four dimensions, which we call the C-deformation, where the gluino field satisfies a Clifford-like algebra dictated by a self-dual two-form, instead of the standard…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Cumrun Vafa

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Myung Seok Yoon

This thesis deals with planar gauge theories in which some gauge group G is spontaneously broken to a finite subgroup H. The spectrum consists of magnetic vortices, global H charges and dyonic combinations exhibiting topological…

High Energy Physics - Theory · Physics 2007-05-23 Mark de Wild Propitius

It is shown that an action inspired from a BF and Chern-Simons model, based on the $AdS_4$ isometry group SO(3, 2), with the inclusion of a Higgs potential term, furnishes the MacDowell-Mansouri-Chamseddine-West action for gravity, with a…

High Energy Physics - Theory · Physics 2009-11-07 Carlos Castro

Higher-spin gravity in three dimensions is efficiently formulated as a Chern-Simons gauge-theory, typically with gauge algebra sl(N)+sl(N). The classical and quantum properties of the higher-spin theory depend crucially on the embedding…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

We study a system of N D2-branes probing a generic Calabi-Yau three-fold singularity in the presence of a non-zero quantized Romans mass n. We argue that the low-energy effective N = 2 Chern-Simons quiver gauge theory flows to a…

High Energy Physics - Theory · Physics 2016-10-19 Martin Fluder , James Sparks

We propose a covariant Hamiltonian action for the Prokushkin and Vasiliev's matter coupled higher spin gravity in three dimensions. The action is formulated on ${\cal X}_4 \times {\cal Z}_2$ where ${\cal X}_4$ is an open manifold whose…

High Energy Physics - Theory · Physics 2016-05-25 Roberto Bonezzi , Nicolas Boulanger , Ergin Sezgin , Per Sundell

We revisit the implementation of the metric-independent Fock-Schwinger gauge in the abelian Chern-Simons field theory defined in ${\mathbb{R}}^3$ by means of a homotopy condition. This leads to the lagrangian $F \wedge hF$ in terms of…

High Energy Physics - Theory · Physics 2015-05-28 Laurent Gallot , Eric Pilon , Frank Thuillier

We study the properties of a bosonization procedure based on Clifford algebra valued degrees of freedom, valid for spaces of any dimension. We present its interpretation in terms of fermions in presence of $\mathbb{Z}_2$ gauge fields…

Mathematical Physics · Physics 2021-02-03 Arkadiusz Bochniak , Błażej Ruba

We construct a covariant and gauge-invariant theory describing massive fractons in three spacetime dimensions, based on a symmetric rank-2 tensor field. The model includes a Chern-Simons-like term that plays a dual role: it generates a…

High Energy Physics - Theory · Physics 2025-10-28 Erica Bertolini , Matteo Carrega , Nicola Maggiore , Daniel Sacco Shaikh