One-form Abelian gauge theory as the Hodge theory

RP Malik - International Journal of Modern Physics A, 2007 - World Scientific
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 …

Rigid rotor as a toy model for Hodge theory

S Gupta, RP Malik - The European Physical Journal C, 2010 - Springer
We apply the superfield approach to the toy model of a rigid rotor and show the existence of
the nilpotent and absolutely anticommuting Becchi–Rouet–Stora–Tyutin (BRST) and anti …

Abelian 2-form gauge theory: superfield formalism

RP Malik - The European Physical Journal C, 2009 - Springer
We derive the off-shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST
symmetry transformations for all the fields of a free Abelian 2-form gauge theory by …

[HTML][HTML] Nilpotent symmetries of a modified massive Abelian 3-form theory: Augmented superfield approach

AK Rao, RP Malik - Nuclear Physics B, 2022 - Elsevier
We derive the off-shell nilpotent and absolutely anticommuting (anti-) BRST symmetry
transformations for any arbitrary D-dimensional Stückelberg-modified massive Abelian 3 …

An alternative to the horizontality condition in the superfield approach to BRST symmetries

RP Malik - The European Physical Journal C, 2007 - Springer
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 …

Quantum symmetries and conserved charges of the cosmological Friedmann-Robertson-Walker model

B Chauhan - Europhysics Letters, 2022 - iopscience.iop.org
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 …

Reparameterization invariant model of a supersymmetric system: BRST and supervariable approaches

A Tripathi, B Chauhan, AK Rao… - Advances in High …, 2021 - Wiley Online Library
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 (ie, a supersymmetric …

Nilpotent symmetries of a 4D model of Hodge theory: augmented (anti-) chiral superfield formalism

A Shukla, N Srinivas, RP Malik - Annals of Physics, 2018 - Elsevier
We derive the continuous nilpotent symmetries of the four (3+ 1)-dimensional (4 D) model of
the Hodge theory (ie 4 D Abelian 2-form gauge theory) by exploiting the beauty and strength …

A generalization of the horizontality condition in the superfield approach to nilpotent symmetries for QED with complex scalar fields

RP Malik - Journal of Physics A: Mathematical and Theoretical, 2007 - iopscience.iop.org
We provide a generalization of the horizontality condition of the usual superfield approach to
the Becchi–Rouet–Stora–Tyutin (BRST) formalism to obtain the (anti-) BRST symmetry …

Supervariable and BRST approaches to a reparameterization invariant nonrelativistic system

AK Rao, A Tripathi, RP Malik - Advances in High Energy …, 2021 - Wiley Online Library
We exploit the theoretical strength of the supervariable and Becchi‐Rouet‐Stora‐Tyutin
(BRST) formalisms to derive the proper (ie, off‐shell nilpotent and absolutely …