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We demonstrate the discrete duality symmetry between the Abelian 1-form and 2-form basic gauge fields in the context of a three $(2 + 1)$-dimensional ($3D$) combined system of the field-theoretic model of the free Abelian 1-from and 2-form…

High Energy Physics - Theory · Physics 2025-08-22 R. Kumar , R. P. Malik

Deformed Heisenberg algebra with reflection appeared in the context of Wigner's generalized quantization schemes underlying the concept of parafields and parastatistics of Green, Volkov, Greenberg and Messiah. We review the application of…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay

Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of data: first, a consistent collection of reflection…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

We define a new homotopy algebraic structure, that we call a braided $L_\infty$-algebra, and use it to systematically construct a new class of noncommutative field theories, that we call braided field theories. Braided field theories have…

High Energy Physics - Theory · Physics 2021-12-22 Marija Dimitrijević Ćirić , Grigorios Giotopoulos , Voja Radovanović , Richard J. Szabo

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

In this letter we discuss the relation of four-dimensional, $N=2$ supersymmetric string backgrounds to integrable models. In particular we show that non-K\"ahlerian gravitational backgrounds with one $U(1)$ isometry plus non-trivial…

High Energy Physics - Theory · Physics 2016-08-14 Gabriel Lopes Cardoso , Dieter Lüst

We formulate a new class of tensor gauge field theories in any dimension that is a hybrid class between symmetric higher-rank tensor gauge theory (i.e., higher-spin gauge theory) and anti-symmetric tensor topological field theory. Our…

High Energy Physics - Theory · Physics 2020-12-24 Juven Wang , Kai Xu

In this paper we couple noncommutative (NC) vielbein gravity to scalar fields. Noncommutativity is encoded in a star product between forms, given by an abelian twist (a twist with commuting vector fields). A geometric generalization of the…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Aschieri , Leonardo Castellani

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

Closed string theory exhibits an O(D,D) duality symmetry on tori, which in double field theory is manifest before compactification. I prove that to first order in $\alpha'$ there is no manifestly background independent and duality invariant…

High Energy Physics - Theory · Physics 2017-04-05 Olaf Hohm

One of the possible approaches to the construction of massive higher spin interactions is to use their gauge invariant description based on the introduction of the appropriate set of Stueckelberg fields. Recently, the general properties of…

High Energy Physics - Theory · Physics 2021-09-01 M. V. Khabarov , Yu. M. Zinoviev

We study the consistency of a model which includes torsion as well as the metric as dynamical fields and has massive spin-2 particle in its spectrum. The massive spin-2 mode resides in the torsion, rather than in the metric. It is known…

High Energy Physics - Theory · Physics 2015-05-13 V. P. Nair , S. Randjbar-Daemi , V. Rubakov

We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass near the Breitenlohner-Freedman bound. Such scalars are characterized by power-law radial decay near the AdS…

High Energy Physics - Theory · Physics 2013-05-01 Aaron J. Amsel , Matthew M. Roberts

Motivated by the study of branes in curved backgrounds, we investigate the construction of non-perturbative extensions of the super-isometry algebra osp*(8|4) of the AdS_7xS^4 background of M-theory. This algebra is not a subalgebra of…

High Energy Physics - Theory · Physics 2007-05-23 Patrick Meessen , Kasper Peeters , Marija Zamaklar

We present a minimal and dynamically consistent formulation of non-relativistic bosonic string theory in a Newton-Cartan (NC) background. Starting from a reparametrization-invariant Nambu-Goto action, we develop the Hamiltonian framework…

High Energy Physics - Theory · Physics 2025-09-05 Partha Nandi , Sk. Moinuddin , Abdus Sattar

We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor…

High Energy Physics - Theory · Physics 2009-10-22 M. Gasperini R. Ricci G. Veneziano

The problem of constructing consistent parity-violating interactions for spin-3 gauge fields is considered in Minkowski space. Under the assumptions of locality, Poincar\'e invariance and parity non-invariance, we classify all the…

High Energy Physics - Theory · Physics 2008-11-26 Nicolas Boulanger , Sandrine Cnockaert , Serge Leclercq

The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of…

High Energy Physics - Theory · Physics 2009-11-07 Xavier Bekaert , Nicolas Boulanger , Marc Henneaux

The XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-abelian symmetry which ensures the integrability of the model. This symmetry implies…

High Energy Physics - Theory · Physics 2011-02-16 P. Baseilhac , K. Koizumi

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of…

High Energy Physics - Theory · Physics 2015-05-28 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger