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We analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations…

High Energy Physics - Theory · Physics 2010-11-01 Luca Griguolo

We consider the free propagation of totally symmetric massive bosonic fields in nontrivial backgrounds. The mutual compatibility of the dynamical equations and constraints in flat space amounts to the existence of an Abelian algebra formed…

High Energy Physics - Theory · Physics 2016-11-23 Rakibur Rahman , Massimo Taronna

We analyze the constraint structure of a spin-3/2 particle interacting with a pseudoscalar. Requiring the self consistency of the considered effective field theory imposes restrictions on the possible interaction terms. In the present case…

High Energy Physics - Phenomenology · Physics 2009-11-11 N. Wies , J. Gegelia , S. Scherer

We provide a complete classification of all abelian gauge invariant $p$-form theories with equations of motion depending only on the second derivative of the field---the $p$-form analogues of the Galileon scalar field theory. We construct…

High Energy Physics - Theory · Physics 2017-09-06 Cédric Deffayet , Sebastian Garcia-Saenz , Shinji Mukohyama , Vishagan Sivanesan

We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer $n>2$ we introduce a conformal spin-$\frac{n}{2}$ gauge field $h_{(n)} =h_{\alpha_1\dots \alpha_n}$ (with $n$ spinor indices) of…

High Energy Physics - Theory · Physics 2018-11-14 Sergei M. Kuzenko , Michael Ponds

A gauge-invariant field is found which describes physical configurations, i.e. gauge orbits, of non-Abelian gauge theories. This is accomplished with non-Abelian generalizations of the Poincare'-Hodge formula for one-forms. In a particular…

High Energy Physics - Theory · Physics 2009-11-10 Peter Orland

In nonabelian gauge theory the three-gluon vertex function contains important structural information, in particular on infrared divergences, and is also an essential ingredient in the Schwinger-Dyson equations. Much effort has gone into…

High Energy Physics - Phenomenology · Physics 2015-06-11 Naser Ahmadiniaz , Christian Schubert

The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions.…

High Energy Physics - Theory · Physics 2018-02-14 Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

The spin orbit interaction plays a crucial role in diverse fields of condensed matter, including the investigation of Majorana fermions, topological insulators, quantum information and spintronics. In III V zinc blende semiconductor…

Mesoscale and Nanoscale Physics · Physics 2014-08-25 A. Sasaki , S. Nonaka , Y. Kunihashi , M. Kohda , T. Bauernfeind , T. Dollinger , K. Richter , J. Nitta

We present a general method for the analysis of the stability of static, spherically symmetric solutions to spherically symmetric perturbations in an arbitrary diffeomorphism covariant Lagrangian field theory. Our method involves fixing the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael D. Seifert , Robert M. Wald

This thesis is devoted to the construction of theories describing the consistent propagation of (super)conformal higher-spin fields on curved three- and four-dimensional (super)spaces. In the first half of this thesis we systematically…

High Energy Physics - Theory · Physics 2022-01-26 Michael Ponds

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated. A symmetric conserved current, bilinear in the scalar field and containing r derivatives, is provided for any rank…

High Energy Physics - Theory · Physics 2014-11-18 Xavier Bekaert , Euihun Joung , Jihad Mourad

We derive and discus the equations of motion for spinless matter: relativistic spinless scalar fields, particles and fluids in the recently proposed by A. Saa model of gravity with covariantly constant volume with respect to the transposed…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. P. Fiziev

A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, whereas the comultiplication rule (Leibniz rule) is different…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Aschieri , Christian Blohmann , Marija Dimitrijevic , Frank Meyer , Peter Schupp , Julius Wess

In this paper we give an example of a noncongruence subgroup whose three-dimensional space of cusp forms of weight 3 has the following properties. For each of the four residue classes of odd primes modulo 8 there is a basis whose Fourier…

Number Theory · Mathematics 2008-02-07 A. O. L. Atkin , Wen-Ching Winnie Li , Ling Long

We investigate the gauging of a three-dimensional deformation of the anti-de Sitter algebra, which accounts for the existence of an invariant energy scale. By means of the Poisson sigma model formalism, we obtain explicit solutions of the…

High Energy Physics - Theory · Physics 2009-11-10 S. Mignemi

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in…

High Energy Physics - Theory · Physics 2009-10-31 Xavier Bekaert , Bernard Knaepen , Christiane Schomblond

Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1. Under the assumptions…

High Energy Physics - Theory · Physics 2009-11-10 Nicolas Boulanger , Sandrine Cnockaert

We introduce a computational technique for studying non-supersymmetric deformations of domain wall solutions of interest in AdS/CFT. We focus on the Klebanov-Strassler solution, which is dual to a confining gauge theory. From an analysis of…

High Energy Physics - Theory · Physics 2009-11-07 Vadim Borokhov , Steven S. Gubser

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso