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Related papers: Aspects of Noncommutative Scalar/Tensor Duality

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Starting from a standard noncommutative gauge theory and using the Seiberg-Witten map we propose a new version of a noncommutative gravity. We use consistent deformation theory starting from a free gauge action and gauging a killing…

High Energy Physics - Theory · Physics 2014-11-20 Ignacio Cortese , J Antonio García

We show that after the Seiberg-Witten map is performed the action for noncommutative field theories can be regarded as a coupling to a field dependent gravitational background. This gravitational background depends only on the gauge field.…

High Energy Physics - Theory · Physics 2009-11-07 Victor O. Rivelles

In our previous work we have constructed a model of noncommutative (NC) gravity based on $SO(2,3)_\star$ gauge symmetry. In this paper we extend the model by adding matter fields: fermions and a $U(1)$ gauge field. Using the enveloping…

High Energy Physics - Theory · Physics 2018-08-01 Marija Dimitrijević Ćirić , Dragoljub Gočanin , Nikola Konjik , Voja Radovanović

We obtain a Seiberg-Witten map for the gauge sector of multiple D$p$-branes in a large R-R $(p-1)$-form field background up to the first-order in the inverse R-R field background. By applying the Seiberg-Witten map and then electromagnetic…

High Energy Physics - Theory · Physics 2021-05-26 Chen-Te Ma

We study the effective action for the massive vector field theory non-minimally coupled to external gravitational field. Such a theory is an interesting model both from the theoretical side and also due to the various phenomenological…

High Energy Physics - Theory · Physics 2017-04-19 Ioseph L. Buchbinder , Tibério de Paula Netto , Ilya L. Shapiro

Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders is manifest. The ambiguities of the…

High Energy Physics - Theory · Physics 2009-11-07 Glenn Barnich , Friedemann Brandt , Maxim Grigoriev

We study the direct interaction of an antisymmetric Kalb-Ramond field with a scalar particle derived from a gauge principle. The method outlined in this paper to define a covariant derivative is applied to a simple model leading to a linear…

High Energy Physics - Theory · Physics 2009-11-10 E. Di Grezia , S. Esposito

In this article we expound a discovery of the quantum equivalence/duality of U(N) noncommutative quantum field theories (NC QFT) related by the theta-exact Seiberg-Witten (SW) maps and at all orders in the perturbation theory with respect…

High Energy Physics - Theory · Physics 2016-09-27 Raul Horvat , Carmelo P. Martin , Josip Trampetic , Jiangyang You

We study the dynamics of a N=2 supersymmetric SU(N) gauge theory with fundamental or adjoint matter in presence of a non trivial Omega-background along a two dimensional plane. The prepotential and chiral correlators of the gauge theory can…

High Energy Physics - Theory · Physics 2011-05-25 F. Fucito , J. F. Morales , R. Poghossian , D. Ricci Pacifici

In this letter we derive the Seiberg-Witten map for noncommutative super Yang-Mills theory in Wess-Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz…

High Energy Physics - Theory · Physics 2009-11-07 V. Putz , R. Wulkenhaar

We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. The SU(n) gauge fields as well as additional scalar fields…

High Energy Physics - Theory · Physics 2009-11-18 Harold Steinacker

In an alternative interpretation, the Seiberg-Witten map is shown to be induced by a field dependent co-ordinate transformation connecting noncommutative and ordinary space-times. Furthermore, following our previous ideas, it has been…

High Energy Physics - Theory · Physics 2014-11-18 Subir Ghosh

We show that noncommuting electric fields occur naturally in $\theta$-expanded noncommutative gauge theories. Using this noncommutativity, which is field dependent, and a hamiltonian generalisation of the Seiberg-Witten Map, the algebraic…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee

Research progresses on the noncommutative gauge theories on the Moyal space are discussed in this minireview. We first present a brief overview on the development of gauge theories on Moyal space, with an emphasis on the role of…

High Energy Physics - Theory · Physics 2023-06-07 Josip Trampetić , Jiangyang You

Starting from a self-dual formulation of gravity, we obtain a noncommutative theory of pure Einstein theory in four dimensions. In order to do that, we use Seiberg-Witten map. It is shown that the noncommutative torsion constraint is solved…

High Energy Physics - Theory · Physics 2009-11-10 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

We derive the Seiberg-Witten map to first order in the non-commutativity parameter for D-branes in the presence of a large R-R background field. This result enables a systematic investigation of the commutative formulation of the…

High Energy Physics - Theory · Physics 2025-12-01 Chen-Te Ma

We derive maps relating the currents and energy-momentum tensors in noncommutative (NC) gauge theories with their commutative equivalents. Some uses of these maps are discussed. Especially, in NC electrodynamics, we obtain a generalization…

High Energy Physics - Theory · Physics 2007-05-23 Rabin Banerjee , Choonkyu Lee , Hyun Seok Yang

Noncommutative geometric construction of gravity in the two sheeted spacetime can be viewed as a discretized version of a Kaluza-Klein theory. In this paper, we show that it is possible to incorporate the nonabelian gauge fields in the same…

General Relativity and Quantum Cosmology · Physics 2020-09-25 Viet Ai Nguyen , Du Tien Pham

We analyze the question of $U_{\star} (1)$ gauge invariance in a flat non-commutative space where the parameter of non-commutativity, $\theta^{\mu\nu} (x)$, is a local function satisfying Jacobi identity (and thereby leading to an…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Josif Frenkel

We study the Pauli equation in noncommutative two dimensional plane which exhibits the supersymmetry algebra when the gyro-magnetic ratio is $2$. The significance of the Seiberg-Witten map in this context is discussed and its effect in the…

High Energy Physics - Theory · Physics 2016-05-03 Aslam Halder , Sunandan Gangopadhyay