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We propose a new relativistic Lorentz-invariant spin-noncommutative algebra. Using the Weyl ordering of noncommutative position operators, we build an analogue of the Moyal-Groenewald product for the proposed algebra. The Lagrange function…

High Energy Physics - Theory · Physics 2016-11-02 V. M. Vasyuta , V. M. Tkachuk

The general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A…

High Energy Physics - Phenomenology · Physics 2019-05-29 Benjamin R. Edwards

Classical invariant theory establishes a systematic correspondence between algebraic and smooth invariants for compact and reductive Lie groups. However, the extension of these results to non-compact and non-reductive regimes remains a…

Algebraic Geometry · Mathematics 2026-05-15 Leandro Nery

If the AdS/CFT correspondence is valid in the Coulomb branch, the potential between waves on a pair of test branes in the bulk should be reproduced by the relevant Yang-Mills theory effective action on the boundary. Earlier work has…

High Energy Physics - Theory · Physics 2009-10-31 Sumit R. Das

We review an iterative construction of the supersymmetric non-abelian Born-Infeld action. We obtain the action through second order in the fieldstrength. Kappa-invariance fixes the ordenings which turn out to deviate from the symmetrized…

High Energy Physics - Theory · Physics 2009-10-31 E. A. Bergshoeff , M. de Roo , A. Sevrin

We construct Lorentz invariant and gauge invariant 1PI effective action for closed and open superstrings and demonstrate that it satisfies the classical BV master equation. We also construct the quantum master action for this theory…

High Energy Physics - Theory · Physics 2019-12-04 Seyed Faroogh Moosavian , Ashoke Sen , Mritunjay Verma

In a previous publication we have shown that the gauge theory of relativistic 3-Branes can be formulated in a conformally invariant way if the embedding space is six-dimensional. The implementation of conformal invariance requires the use…

High Energy Physics - Theory · Physics 2007-05-23 E. I. Guendelman

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR modified extended BRST and anti-BRST symmetry of the Batalin-Vilkovisky…

High Energy Physics - Theory · Physics 2017-03-20 Sudhaker Upadhyay , Mushtaq B. Shah , Prince A. Ganai

In this article we derive the full interacting effective actions for supersymmetric D-branes in arbitrary bosonic type II supergravity backgrounds. The actions are presented in terms of component fields up to second order in fermions. As…

High Energy Physics - Theory · Physics 2014-11-18 Donald Marolf , Luca Martucci , Pedro J. Silva

We provide the first step towards renormalization in a nonminimal Lorentz-violating model consisting of normal scalars and modified fermions with mass dimension five operators. We compute the radiative corrections corresponding to the…

High Energy Physics - Phenomenology · Physics 2019-07-04 J. R. Nascimento , A. Yu. Petrov , C. M. Reyes

A covariant simultaneous action for branes in an arbitrary curved background spacetime is considered. The action depends on a pair of independent field variables, the brane embedding functions, through the canonical momentum of a…

High Energy Physics - Theory · Physics 2019-09-24 Riccardo Capovilla , Giovany Cruz

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

It has long been appreciated that superalgebras with bosonic and fermionic generators additional to those in the super-Poincare algebra underlie p-brane and D-brane actions in superstring theory. These algebras have been revealed via…

High Energy Physics - Theory · Physics 2018-03-14 D. T. Grasso , I. N. McArthur

A topological gauge invariant lagrangian for Seiberg-Witten monopole equations is constructed. The action is invariant under a huge class of gauge transformations which after BRST fixing leads to the BRST invariant action associated to…

High Energy Physics - Theory · Physics 2007-05-23 R. Gianvittorio , I. Martin , A. Restuccia

We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes…

High Energy Physics - Theory · Physics 2015-05-14 Shin Sasaki

We analyze the leading terms of the spectral action for a model of noncommutative geometry, which is a product of $4$-dimensional Riemannian manifold with a two-point space exploring the previously neglected case when the metrics over each…

Mathematical Physics · Physics 2019-12-17 Andrzej Sitarz

In this paper, we investigate the Poincar\'e and discrete symmetries of a $\kappa$-deformed spin-$\tfrac12$ field, extending recent results obtained for scalar fields. We construct an action that is Poincar\'e invariant and analyze its…

High Energy Physics - Theory · Physics 2026-05-29 Tadeusz Adach , Andrea Bevilacqua , Jerzy Kowalski-Glikman , Giacomo Rosati , Wojciech Wiślicki

New reparametrisation invariant field equations are constructed which describe $d$-brane models in a space of $d+1$ dimensions. These equations, like the recently discovered scalar field equations in $d+1$ dimensions, are universal, in the…

High Energy Physics - Theory · Physics 2009-10-22 D. B. Fairlie , J. Govaerts

In a flat background, the canonical energy momentum tensor of Lorentz and conformally invariant matter field theories can be improved to a symmetric and traceless tensor that gives the same conserved charges. We argue that the geometric…

High Energy Physics - Theory · Physics 2025-07-09 Damianos Iosifidis , Manthos Karydas , Anastasios Petkou , Konstantinos Siampos

We construct gauge invariant 1PI effective action for the NS sector of type II and heterotic string field theory. By construction, zero eigenvalues of the kinetic operator of this action determine the renormalized physical masses, and tree…

High Energy Physics - Theory · Physics 2015-01-06 Ashoke Sen