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We derive the complete set of off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the gauge-invariant Christ-Lee model by exploiting the celebrated (dual-)horizontality…

High Energy Physics - Theory · Physics 2018-10-16 R. Kumar , A. Shukla

For the combined field-theoretic system of the four (3 + 1)-dimensional (4D) Abelian 3-form and 1-form gauge theories, we show the existence of a unique bosonic symmetry transformation that is constructed from the four infinitesimal,…

High Energy Physics - Theory · Physics 2026-04-07 R. P. Malik

We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations corresponding to the combined "scalar" and "vector" gauge symmetry transformations for…

High Energy Physics - Theory · Physics 2018-07-04 R. Kumar , Debmalya Mukhopadhyay

We perform the constraint analysis of a three (2 + 1)-dimensional (3D) field-theoretic example for Hodge theory $(i)$ at the classical level within the ambit of Lagrangian formulation, and $(ii)$ at the quantum level within the framework of…

High Energy Physics - Theory · Physics 2024-11-13 Bhagya. R , Harsha Sreekumar , E. Harikumar , R. P. Malik

We demonstrate the existence of the first-class constraints on the massless Abelian 3-form theory which generate the classical gauge symmetry transformations for this theory in any arbitrary D-dimension of spacetime. We write down the…

High Energy Physics - Theory · Physics 2024-08-27 B. Chauhan , A. K. Rao , R. P. Malik

In the case of a D-dimensional non-Abelian 1-form gauge theory (without any interaction with the matter fields), we show that the application of the Noether theorem does not lead to the derivations of the Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2026-05-29 R. P. Malik

We demonstrate that the generators for the local, continuous and infinitesimal classical gauge symmetry transformations in the cases of (i) the St$\ddot u$ckelberg-modified massive Abelian 1-form and 2-form theories, and (ii) the massless…

High Energy Physics - Theory · Physics 2024-02-23 A. K. Rao , B. Chauhan , R. P. Malik

We consider the bosonized version of the Chiral Schwinger model in $(1+1)$ dimension with the generalized Faddeevian anomaly, which does not have the Lorentz covariance structure and does not have gauge invariance either. BRST embedding is…

High Energy Physics - Theory · Physics 2024-02-02 Sanjib Ghoshal , Ansur Rahaman

We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D)…

High Energy Physics - Theory · Physics 2025-07-08 S. K. Panja , E. Harikumar , R. P. Malik

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 +…

High Energy Physics - Theory · Physics 2026-01-06 R. P. Malik

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework…

High Energy Physics - Theory · Physics 2009-01-07 R. P. Malik

We derive the continuous nilpotent symmetries of the four (3 + 1)-dimensional (4D) model of the Hodge theory (i.e. 4D Abelian 2-form gauge theory) by exploiting the beauty and strength of the symmetry invariant restrictions on the…

High Energy Physics - Theory · Physics 2018-06-08 A. Shukla , N. Srinivas , R. P. Malik

We exploit the standard tools and techniques of the augmented version of Bonora-Tonin (BT) superfield formalism to derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST and (anti-)co-BRST symmetry transformations for the…

High Energy Physics - Theory · Physics 2015-06-18 D. Shukla , T. Bhanja , R. P. Malik

We exploit the techniques of Bonora-Tonin superfield formalism to derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the (1+1)-dimensional (2D) bosonized vector…

High Energy Physics - Theory · Physics 2016-11-16 Saurabh Gupta , R. Kumar

We perform the Becchi-Rouet-Stora-Tyutin (BRST) analysis of the Freedman-Townsend (FT) model of topologically massive non-Abelian theory by exploiting its (1-form) Yang-Mills (YM) gauge transformations to show the existence of some novel…

High Energy Physics - Theory · Physics 2012-08-03 R. P. Malik

We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST…

High Energy Physics - Theory · Physics 2015-05-13 R. P. Malik , B. P. Mandal

In the framework of the augmented superfield formalism, the local, covariant, continuous and off-shell (as well as on-shell) nilpotent (anti-)BRST symmetry transformations are derived for a $(0 + 1)$-dimensional free scalar relativistic…

High Energy Physics - Theory · Physics 2010-11-05 R. P. Malik

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we demonstrate the existence of the novel off-shell nilpotent (anti-)dual-BRST symmetries in the context of a six (5 + 1)-dimensional (6D) free Abelian 3-form gauge theory.…

High Energy Physics - Theory · Physics 2012-07-11 R. Kumar , S. Krishna , A. Shukla , R. P. Malik

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the dynamical non-Abelian 2-form gauge theory within the framework of geometrical superfield…

High Energy Physics - Theory · Physics 2014-11-21 R. P. Malik

In the available literature, only the Becchi-Rouet-Stora-Tyutin (BRST) symmetries are known for the Jackiw-Pi model of the three (2 + 1)-dimensional (3D) massive non-Abelian gauge theory. We derive the off-shell nilpotent (s_{(a)b}^2 = 0)…

High Energy Physics - Theory · Physics 2014-10-07 S. Gupta , R. Kumar , R. P. Malik