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The one-dimensional ${\cal N}\times {\cal N}$-matrix Chern-Simons action is given, for large ${\cal N}$ and for slowly varying fields, by the $(2k+1)$-dimensional Chern-Simons action $S_{CS}$, where the gauge fields in $S_{CS}$ parametrize…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Nair

In this paper we give the boundary string field theory description of brane-antibrane systems. From the world-sheet action of brane-antibrane systems we obtain the tachyon potential and discuss the tachyon condensation exactly. We also find…

High Energy Physics - Theory · Physics 2010-02-03 Tadashi Takayanagi , Seiji Terashima , Tadaoki Uesugi

We consider the dynamics of a four-form field $\tilde {w} $, treating it as a distinct physical degree of freedom, independent of the metric. The equations of motion are derived from an action which, besides having the standard…

General Relativity and Quantum Cosmology · Physics 2011-12-05 Patrick Das Gupta

An action principle of singular hypersurfaces in general relativity and scalar-tensor type theories of gravity in the Einstein frame is presented without assuming any symmetry. The action principle is manifestly doubly covariant in the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Shinji Mukohyama

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an…

High Energy Physics - Theory · Physics 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

We study the boundary conditions in the topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge invariant boundary conditions can be unified as…

High Energy Physics - Theory · Physics 2016-09-19 Tadashi Okazaki , Douglas J. Smith

The perturbative Chern-Simons theory is studied in a finite-dimensional version or assuming that the propagator satisfies certain properties (as is the case, e.g., with the propagator defined by Axelrod and Singer). It turns out that the…

Quantum Algebra · Mathematics 2009-12-08 Alberto S. Cattaneo , Pavel Mnev

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Christian G. Boehmer , Erik Jensko

We show that three-dimensional General Relativity, augmented with two vector fields, allows for a non-relativistic limit, different from the standard limit leading to Newtonian gravity, that results into a well-defined action which is of…

High Energy Physics - Theory · Physics 2016-06-29 Eric A. Bergshoeff , Jan Rosseel

Exceptional Field Theory employs an extended spacetime to make supergravity fully covariant under the U-duality groups of M-theory. This allows for the wave and monopole solutions to be combined into a single solution which obeys a twisted…

High Energy Physics - Theory · Physics 2016-04-08 Felix J. Rudolph

The purpose of this contribution is to point out connections between recent ideas about gerbes and gerbal actions (as higher categorical extension of representation theory) and old discussion in quantum field theory on commutator anomalies,…

Differential Geometry · Mathematics 2008-12-12 Jouko Mickelsson

We propose a variant scheme of the Gauge Unfixing formalism which modifies directly the original phase space variables of a constrained system. These new variables are gauge invariant quantities. We apply our procedure in a mixed…

High Energy Physics - Theory · Physics 2011-08-04 Jorge Ananias Neto

We prove the convergence of normal form power series for suitably nonsingular analytic submanifolds under a broad class of infinite-dimensional Lie pseudo-group actions. Our theorem is illustrated by a number of examples, and includes, as a…

Mathematical Physics · Physics 2025-06-17 Peter J. Olver , Masoud Sabzevari , Francis Valiquette

We study a class of generalized Abelian gauge field theories where CPT symmetry is violated by a Chern-Simons-like term which selects a preferred direction in spacetime. Such Chern-Simons-like terms may either emerge as part of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Adam , F. R. Klinkhamer

The superpotential in four-dimensional heterotic effective theories contains terms arising from holomorphic Chern-Simons invariants associated to the gauge and tangent bundles of the compactification geometry. These effects are crucial for…

High Energy Physics - Theory · Physics 2020-10-28 Lara B. Anderson , James Gray , Andre Lukas , Juntao Wang

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich

We construct an intersecting S-brane solution of 11-dimensional supergravity for which the contribution of the Chern-Simons term to the field equations is non-zero. After studying some of its properties, we consider three different…

High Energy Physics - Theory · Physics 2009-05-01 Nihat Sadik Deger , Ali Kaya

We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , L. C. T. Brito , M. Gomes , A. Yu. Petrov , A. J. da Silva

We demonstrate generation of the two-dimensional Chern-Simons-like Lorentz-breaking action via an appropriate Lorentz-breaking coupling of scalar and spinor fields at zero as well as at the finite temperature and via the noncommutative…

High Energy Physics - Theory · Physics 2010-10-27 E. Passos , A. Yu. Petrov

Action-dependent field theories are systems where the Lagrangian or Hamiltonian depends on new variables that encode the action. They model a larger class of field theories, including non-conservative behavior, while maintaining a…

High Energy Physics - Theory · Physics 2025-05-01 Manuel de León , Jordi Gaset Rifà , Miguel C. Muñoz-Lecanda , Xavier Rivas , Narciso Román-Roy