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Exploiting the theoretical potential of the modified Bonora-Tonin superfield approach (MBTSA) as well as the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive the complete set of off-shell…

High Energy Physics - Theory · Physics 2022-08-12 A. Tripathi , A. K. Rao , R. P. Malik

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for a supersymmetric system of a free spinning relativistic particle within the framework of superfield…

High Energy Physics - Theory · Physics 2012-12-19 A. Shukla , S. Krishna , R. P. Malik

We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in the extended phase space. In…

High Energy Physics - Theory · Physics 2022-11-29 B. Chauhan

We discuss some of the key topological aspects of a two $(1+1)$-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of {\it chiral} superfield formalism. We provide the…

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

In the framework of augmented superfield approach, we provide the geometrical origin and interpretation for the nilpotent (anti-)BRST charges, (anti-)co-BRST charges and a non-nilpotent bosonic charge. Together, these local and conserved…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

In the framework of superfield approach, we derive the local, covariant, continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations on the U(1) gauge field $(A_\mu)$ and the (anti-)ghost fields $((\bar C)C)$ of the…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

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

We exploit the theoretical strength of the supervariable and Becchi-Rouet-Stora-Tyutin (BRST) formalisms to derive the proper (i.e. off-shell nilpotent and absolutely anticommuting) (anti-)BRST symmetry transformations for the…

High Energy Physics - Theory · Physics 2021-07-27 A. K. Rao , A. Tripathi , R. P. Malik

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss mainly the fermionic (i.e. off-shell nilpotent) (anti-)BRST, (anti-)co-BRST and some discrete dual-symmetries of the appropriate Lagrangian densities for a two…

High Energy Physics - Theory · Physics 2020-01-14 B. Chauhan , S. Kumar , A. Tripathi , R. P. Malik

We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries and derive corresponding nilpotent charges for the one (0+1)-dimensional (1D) massive…

High Energy Physics - Theory · Physics 2020-08-25 A. Tripathi , B. Chauhan , A. K. Rao , R. P. Malik

The derivation of the nilpotent (anti-)BRST symmetries for the matter fields, present in any arbitrary interacting gauge theory, has been an long-standing problem in the framework of superfield approach to BRST formalism. These nilpotent…

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

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST symmetry transformations corresponding to the non-Yang-Mills symmetry transformations of (2 + 1)- dimensional Jackiw-Pi…

High Energy Physics - Theory · Physics 2013-02-01 Saurabh Gupta , R. Kumar

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

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

We derive the nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations for the system of a toy model of Hodge theory (i.e. a rigid rotor) by exploiting the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral…

High Energy Physics - Theory · Physics 2019-11-15 T. Bhanja , N. Srinivas , R. P. Malik

We provide an alternative to the gauge covariant horizontality condition which is responsible for the derivation of the nilpotent (anti-)BRST symmetry transformations for the gauge and (anti-)ghost fields of a (3 + 1)-dimensional (4D)…

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

We derive the off-shell nilpotent of order two and absolutely anti-commuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations for the Christ--Lee (CL) model in one (0 + 1)-dimension (1D) of spacetime…

High Energy Physics - Theory · Physics 2022-04-05 B. Chauhan , S. Kumar

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

We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one (0 + 1)-dimensional (1D) model of a free massive spinning relativistic particle (i.e. a supersymmetric system) by exploiting its classical infinitesimal and…

High Energy Physics - Theory · Physics 2021-11-12 A. Tripathi , B. Chauhan , A. K. Rao , R. P. Malik

We consider the superspace BRST and BV description of $4D,~\mathcal{N}=1$ Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the…

High Energy Physics - Theory · Physics 2022-01-19 I. L. Buchbinder , S. James Gates , K. Koutrolikos