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We demonstrate a few striking similarities and some glaring differences between (i) the free four (3 + 1)-dimensional (4D) Abelian 2-form gauge theory, and (ii) the anomalous two (1 + 1)-dimensional (2D) Abelian 1-form gauge theory, within…

High Energy Physics - Theory · Physics 2010-01-06 S. Gupta , R. Kumar , R. P. Malik

We demonstrate the existence of the nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3 + 1)-dimensional (4D) topologically massive Abelian U(1) gauge theory that is…

High Energy Physics - Theory · Physics 2010-12-23 S. Gupta , R. Kumar , R. P. Malik

We prove that there is no power-counting renormalizable nonabelian generalization of the abelian topological mass mechanism in four dimensions. The argument is based on the technique of consistent deformations of the master equation…

High Energy Physics - Theory · Physics 2009-10-30 M. Henneaux , V. E. R. Lemes , C. A. G. Sasaki , S. P. Sorella , O. S. Ventura , L. C. Q. Vilar

We derive the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for {\it all} the fields of a free Abelian 2-form gauge theory by exploiting the geometrical superfield approach to BRST formalism.…

High Energy Physics - Theory · Physics 2009-04-08 R. P. Malik

We derive the nilpotent (anti-)BRST symmetry transformations for the Dirac (matter) fields of an interacting four (3+1)-dimensional 1-form non-Abelian gauge theory by applying the theoretical arsenal of augmented superfield formalism where…

High Energy Physics - Theory · Physics 2009-01-07 R. P. Malik , Bhabani Prasad Mandal

We obtain a lorentzian solution for the topologically massive non-abelian gauge theory on AdS space by means of a SU(1, 1) gauge transformation of the previously found abelian solution. There exists a natural scale of length which is…

High Energy Physics - Theory · Physics 2010-10-27 K. Saygili

Taking the simple examples of an Abelian 1-form gauge theory in two (1 + 1)-dimensions, a 2-form gauge theory in four (3 + 1)-dimensions and a 3-form gauge theory in six (5 + 1)-dimensions of spacetime, we establish that such gauge theories…

High Energy Physics - Theory · Physics 2014-09-26 R. Kumar , S. Krishna , A. Shukla , R. P. Malik

We discuss a quantum-theoretical aspect of the massive Abelian antisymmetric tensor gauge theory with antisymmetric tensor current. To this end, an Abelian rank-2 antisymmetric tensor field is quantized both in the covariant gauge with an…

High Energy Physics - Theory · Physics 2009-11-07 Shinichi Deguchi , Yousuke Kokubo

We consider a deformation of three dimensional BF theory by means of the antifield BRST formalism. Possible deformations for the action and the gauge symmetries are analyzed. We find a new class of gauge theories which include nonabelian BF…

High Energy Physics - Theory · Physics 2010-02-03 Noriaki Ikeda

We discuss the (dual-)gauge transformations and BRST cohomology for the two (1 + 1)-dimensional (2D) free Abelian one-form and four (3 + 1)-dimensional (4D) free Abelian 2-form gauge theories by exploiting the (co-)BRST symmetries (and…

High Energy Physics - Theory · Physics 2009-11-07 R. P. Malik

The effective action of string theory in three dimensions is investigated, incorporating the Lorentz and gauge Chern-Simons terms in the definition of the Kalb-Ramond axion field strength. Since in three dimensions any three-form is…

High Energy Physics - Theory · Physics 2009-10-22 Nemanja Kaloper

We derive the off-shell nilpotent (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the four (3+1)-dimensional (4D)…

High Energy Physics - Theory · Physics 2023-02-02 S. Kumar , B. Chauhan , A. Tripathi , R. P. Malik

Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

High Energy Physics - Theory · Physics 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging…

High Energy Physics - Theory · Physics 2009-11-07 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

It is proposed a new mechanism for the phenomenon of topological mass generation in three spacetime dimensions as the result of the interference of two opposite massless chiral modes. This mechanism, already used to produce the massive…

High Energy Physics - Theory · Physics 2007-05-23 Anderson Ilha , Clovis Wotzasek

A supersymmetric gauge invariant action is constructed over any 4-dimensional Riemannian manifold describing Witten's theory of 4-monopoles. The topological supersymmetric algebra closes off-shell. The multiplets include the auxiliary…

High Energy Physics - Theory · Physics 2009-10-30 R. Gianvittorio , I. Martin , A. Restuccia

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

We demonstrate that the two (1 + 1)-dimensional (2D) free 1-form Abelian gauge theory provides an interesting field theoretical model for the Hodge theory. The physical symmetries of the theory correspond to all the basic mathematical…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

It is shown that the four $(3 + 1)$-dimensional (4D) free Abelian 2-form gauge theory provides an example of (i) a class of field theoretical models for the Hodge theory, and (ii) a possible candidate for the quasi-topological field theory…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Some of the key cohomological features of the two $(1+1)$-dimensional (2D) free Abelian- and self-interacting non-Abelian gauge theories (having no interaction with matter fields) are briefly discussed first in the language of symmetry…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik