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With two typical parent actions we have two kinds of dual worlds: i) one of which contains an electric as well as magnetic current, and ii) the other contains (generalized) Chern-Simons terms. All these fields are defined on a curved…

高能物理 - 理论 · 物理学 2009-11-07 Hisashi Echigoya , Tadashi Miyazaki , Tomohiko Shibuya

A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

高能物理 - 理论 · 物理学 2007-05-23 Noureddine Mohammedi

We describe a construction of generalized Maxwell theories -- higher analogues of abelian gauge theories -- in the factorization algebra formalism of Costello and Gwilliam, allowing for analysis of the structure of local observables. We…

量子代数 · 数学 2021-10-29 Chris Elliott

In this thesis the recently developed duality covariant approach to string and M-theory is investigated. In this formalism the U-duality symmetry of M-theory or T-duality symmetry of Type II string theory becomes manifest upon extending…

高能物理 - 理论 · 物理学 2018-01-03 Edvard Musaev

We consider a general class of non-local MCS models whose usual minimal coupling to a conserved current is supplemented with a (non-minimal) magnetic Pauli-type coupling. We find that the considered models exhibit a self-duality whenever…

介观与纳米尺度物理 · 物理学 2007-05-23 F. Chandelier , Y. Georgelin , T. Masson , J. -C. Wallet

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure,…

高能物理 - 理论 · 物理学 2015-07-08 A. P. Baeta Scarpelli , J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

Bosonization of the gauged, massive Thirring model in 2+1-dimensions produces a Maxwell-Chern-Simons gauge theory, coupled to a dynamical, massive vector field. Exploiting the Master Lagrangian formalism, two dual theories are constructed,…

高能物理 - 理论 · 物理学 2007-05-23 Subir Ghosh

We review the recently constructed `double field theory' which introduces in addition to the conventional coordinates associated to momentum modes coordinates associated to winding modes. Thereby, T-duality becomes a global symmetry of the…

高能物理 - 理论 · 物理学 2015-05-27 Olaf Hohm

A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet…

高能物理 - 理论 · 物理学 2018-09-26 Vincenzo Emilio Marotta , Franco Pezzella , Patrizia Vitale

We present a unified analysis of single excitation vector models in 3D. We show that there is a family of first order master actions related by duality transformations which interpolate between the different models. We use a Hamiltonian…

高能物理 - 理论 · 物理学 2015-05-30 Adel Khoudeir , J. Stephany

Parent actions for component fields are utilized to derive the dual of supersymmetric U(1) gauge theory in 4 dimensions. Generalization of the Seiberg-Witten map to the component fields of noncommutative supersymmetric U(1) gauge theory is…

高能物理 - 理论 · 物理学 2009-11-10 O. F. Dayi , K. Ulker , B. Yapiskan

We analyze local fields redefinition and duality for gauge field theories in three dimensions. We find that both Maxwell-Chern-Simons and the Self-Dual models admits the same fields redefinition. Maxwell-Proca action and its dual also share…

高能物理 - 理论 · 物理学 2009-11-10 Marcio A. M. Gomes , R. R. Landim

In $D=2+1$ dimensions there are two dual descriptions of parity singlets of helicity $\pm 1$, namely the self-dual model of first-order (in derivatives) and the Maxwell-Chern-Simons theory of second-order. Correspondingly, for helicity $\pm…

高能物理 - 理论 · 物理学 2010-12-13 D. Dalmazi , Elias L. Mendonça

We consider the general free field theory such that system of equations of motion includes a subsystem with a special property. If the subsystem is considered by itself, it would be a topological field theory having no local degrees of…

高能物理 - 理论 · 物理学 2023-05-17 V. A. Abakumova , S. L. Lyakhovich

We generalize our picture in [arXiv:0904.1744], and consider a pure abelian gauge theory on a four-manifold with nonlocal operators of every codimension arbitrarily and simultaneously inserted. We explicitly show that (i) the theory enjoys…

高能物理 - 理论 · 物理学 2019-06-07 Meng-Chwan Tan

We find the dual equivalent (gauge invariant) version of the Maxwell theory in D=4 with a Proca-like mass term by using the symplectic embedding method. The dual theory obtained (Maxwell-Podolsky) includes a higher-order derivative term and…

高能物理 - 理论 · 物理学 2008-12-05 E. M. C. Abreu , A. C. R. Mendes , C. Neves , W. Oliveira , C. Wotzasek , L. M. V. Xavier

We formulate a `master' partition function in three-dimensional $\mathcal{N}=2$ superspace that realises, upon integrating out complementary superfields, both the electric Maxwell--Chern--Simons (MCS) theory and its magnetic $S$-dual: a…

高能物理 - 理论 · 物理学 2025-12-15 Adi Armoni , Ricardo Stuardo , Mark Thomas

A global analysis of duality transformations is presented. It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise…

高能物理 - 理论 · 物理学 2007-05-23 I. Martin , A. Restuccia

We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge degrees of freedom in a gauge theory. In this paper, we…

高能物理 - 理论 · 物理学 2022-07-20 A. P. Balachandran , V. P. Nair , A. Pinzul , A. F. Reyes-Lega , S. Vaidya

We present a unified analysis of the self-dual, second order, topologically massive and the recently introduced fourth order models of massive gravity in 3D. We show that there is a family of first order actions which interpolate between…

高能物理 - 理论 · 物理学 2015-06-03 Pio J. Arias , Adel Khoudeir , J. Stephany