World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Massive 4D Abelian 2-form theory: Nilpotent symmetries from the (anti-)chiral superfield approach

    https://doi.org/10.1142/S0217751X22500038Cited by:4 (Source: Crossref)

    The off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetries are obtained by using the (anti-)chiral superfield approach (ACSA) to Becchi–Rouet–Stora–Tyutin (BRST) formalism for the four (3+1)-dimensional (4D) Stückelberg-modified massive Abelian 2-form gauge theory. We perform exactly similar kind of exercise for the derivation of the off-shell nilpotent (anti-)co-BRST symmetry transformations, too. In the above derivations, the symmetry invariant restrictions on the superfields play very important and decisive roles. To prove the sanctity of the above nilpotent symmetries, we generalize our 4D ordinary theory (defined on the 4D flat Minkowskian space–time manifold) to its counterparts (4,1)-dimensional (anti-)chiral super-submanifolds of the (4,2)-dimensional supermanifold which is parametrized by the superspace coordinates ZM=(xμ,𝜃,𝜃̄) where xμ(μ=0,1,2,3) are the bosonic coordinates and a pair of Grassmannian variables (𝜃,𝜃̄) are fermionic: 𝜃2=𝜃2̄=0, 𝜃𝜃̄+𝜃̄𝜃=0 in nature. One of the novel observations of our present endeavor is the derivation of the Curci–Ferrari (CF)-type restrictions from the requirement of the symmetry invariance of the coupled (but equivalent) Lagrangian densities of our theory within the framework of ACSA to BRST formalism. We also exploit the standard techniques of ACSA to capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST as well as the conserved (anti-)co-BRST charges. In a subtle manner, the proof of the absolute anticommutativity of the above conserved charges also implies the existence of the appropriate CF-type restrictions on our theory. This proof is also a novel result.

    PACS: 11.15.−q, 11.30.−j, 03.70.+k, 95.35.+d
    You currently do not have access to the full text article.

    Recommend the journal to your library today!