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In this paper we go deep into the connection between duality and fields redefinition for general bilinear models involving the 1-form gauge field $A$. A duality operator is fixed based on "gauge embedding" procedure. Dual models are shown…

High Energy Physics - Theory · Physics 2007-05-23 M. A. M. Gomes , R. R. Landim

We give a global formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields for the generalized situation when the "duality structure" of the Abelian gauge theory is described by a flat symplectic vector…

High Energy Physics - Theory · Physics 2019-12-19 C. I. Lazaroiu , C. S. Shahbazi

Dual actions with respect to U(1) gauge fields for Born-Infeld and $Dp$-brane theories are reexamined. Taking into account an additional condition, i.e. a corollary to the field equation of the auxiliary metric, one obtains an alternative…

High Energy Physics - Theory · Physics 2009-10-16 Rong-Xin Miao , Yan-Gang Miao , Shao-Jie Wei

We study a class of duality transformations in generalised Z(2) gauge theories and Ising models on two- and three-dimensional compact lattices. The theories are interpreted algebraically in terms of the structure constants of a…

High Energy Physics - Theory · Physics 2010-10-27 N. Yokomizo , P. Teotonio-Sobrinho

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez

In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries that govern theories with fractons and non-invertible symmetries, which do not fuse…

High Energy Physics - Theory · Physics 2024-05-29 Ryan C. Spieler

We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, $p$-form gauge fields, linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar reasoning to…

High Energy Physics - Theory · Physics 2021-04-07 Athanasios Chatzistavrakidis , Georgios Karagiannis , Arash Ranjbar

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector…

High Energy Physics - Theory · Physics 2016-05-17 Athanasios Chatzistavrakidis , Andreas Deser , Larisa Jonke

Recently, a large class of 3d $\mathcal{N} = 2$ gauge theories with mixed Chern-Simons levels, corresponding to plumbing 3-manifolds, has been identified. In this paper we generalize these theories by including in their content chiral…

High Energy Physics - Theory · Physics 2023-08-25 Shi Cheng , Piotr Sułkowski

Reconsideration of the T-duality of the open string allows us to introduce some geometric features in non-geometric theories. First, we have found what symmetry is T-dual to the local gauge transformations. It includes transformations of…

High Energy Physics - Theory · Physics 2018-09-14 Branislav Sazdovic

We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of…

High Energy Physics - Theory · Physics 2011-08-11 Yasumi Abe , Rabin Banerjee , Izumi Tsutsui

Gauge invariant local creation operators of charged states are introduced and studied in pure gauge theories of the Maxwell type in 2+1D. These states are usually unphysical because of the subsidiary condition imposed on the physical…

High Energy Physics - Theory · Physics 2015-06-26 E. C. Marino

We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory. We first consider target-space duality (``T duality'') transformations in absence…

High Energy Physics - Theory · Physics 2009-10-28 Eric Bergshoeff , Bert Janssen , Tomas Ortin

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim

We describe the doubled space of Double Field Theory as a group manifold $G$ with an arbitrary generalized metric. Local information from the latter is not relevant to our discussion and so $G$ only captures the topology of the doubled…

High Energy Physics - Theory · Physics 2018-04-30 Falk Hassler

In this work, we study the implications of the existence of a gauge condensate to the mechanism of duality, a method based on the existence of these condensates is presented and applied to the study of the dual equivalence between self-dual…

High Energy Physics - Theory · Physics 2007-05-23 M. A. L. Capri , V. E. R. Lemes

Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all parent theories for different types of…

High Energy Physics - Theory · Physics 2020-12-02 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

We develop a technique that solders the dual aspects of some symmetry. Using this technique it is possible to combine two theories with such symmetries to yield a new effective theory. Some applications in two and three dimensional…

High Energy Physics - Theory · Physics 2009-10-31 R. Banerjee , C. Wotzasek

In this work, we show that duality symmetry can be implemented for massive theories at the level of the action, whenever we can formulate appropriates gauge invariant actions. For a massive vectorial field, we use a known gauge invariant…

High Energy Physics - Theory · Physics 2015-03-11 Adel Khoudeir , David Sierra