43 citations · 243 across the 21 of their papers we have counts for
16 papers · 1 filter
Supersymmetric Quantum Spherical Model: A Model for Hodge Theory
R. Kumar, A. Shukla
We discuss various symmetry properties of the N = 2 supersymmetric quantum spin model in one (0 + 1)-dimension of spacetime and provide their relevance in the realm of the mathemat…
Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity
Aradhya Shukla, Kumar Abhinav, Prasanta K. Panigrahi
It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure St…
Novel Symmetries in Christ-Lee Model
R. Kumar, A. Shukla
We demonstrate that the gauge-fixed Lagrangian of the Christ-Lee model respects four fermionic symmetries, namely; (anti-)BRST symmetries, (anti-)co-BRST symmetries within the fram…
A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach
Aradhya Shukla
By exploiting the supersymmetric invariant restrictions on the chiral and anti-chiral supervariables, we derive the off-shell nilpotent symmetry transformations for a specific (0 +…
Nilpotent Symmetries of a 4D Model of the Hodge Theory: Augmented (Anti-)Chiral Superfield Formalism
A. Shukla, N. Srinivas, 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 stre…
N = 2 Supersymmetric Harmonic Oscillator: Basic Brackets Without Canonical Conjugate Momenta
N. Srinivas, A. Shukla, R. P. Malik
We exploit the ideas of spin-statistics theorem, normal-ordering and the key concepts behind the symmetry principles to derive the canonical (anti)commutators for the case of a one…
Nilpotent and absolutely anticommuting symmetries in the Freedman-Townsend model: augmented superfield formalism
A. Shukla, S. Krishna, R. P. Malik
We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations, corresponding to the (1-form) Yang-Mills (YM…
General N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach to its Off-Shell Nilpotent Symmetries
S. Krishna, A. Shukla, R. P. Malik
Using the supersymmetric (SUSY) invariant restrictions on the (anti-)chiral supervariables, we derive the off-shell nilpotent symmetries of the general one (0 + 1)-dimensional N =…
Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models
S. Krishna, A. Shukla, R. P. Malik
We derive the on-shell as well as off-shell nilpotent supersymmetric (SUSY) symmetry transformations for the N = 2 SUSY quantum mechanical model of a one (0 + 1)-dimensional (1D) f…
Augmented Superfield Approach to Nilpotent Symmetries in the Modified Version of 2D Proca Theory
A. Shukla, S. Krishna, R. P. Malik
We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations for all the f…
Curci-Ferrari Type Condition in Hamiltonian Formalism: A Free Spinning Relativistic Particle
A. Shukla, T. Bhanja, R. P. Malik
The Curci-Ferrari (CF)-type of restriction emerges in the description of a free spinning relativistic particle within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism wh…
Supersymmetrization of horizontality condition: nilpotent symmetries for a free spinning relativistic particle
A. Shukla, S. Krishna, 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 spinnin…
Abelian p-Form (p = 1, 2, 3) Gauge Theories as the Field Theoretic Models for the Hodge Theory
R. Kumar, S. Krishna, A. Shukla +1
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)-di…
Dual-BRST symmetry: 6D Abelian 3-form gauge theory
R. Kumar, S. Krishna, A. Shukla +1
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 si…
Comments on the dual-BRST symmetry
S. Krishna, A. Shukla, R. P. Malik
In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensiona…
Topologically massive non-Abelian theory: superfield formalism
S. Krishna, A. Shukla, R. P. Malik
We apply the well-established techniques of geometrical superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism in the context of four (3 + 1)-dimensional (4D) dynamical…