Self-Dual Chiral Boson: Augmented Superfield Approach

Abstract

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 Becchi-Rouet-Stora-Tyutin (BRST) invariant Lagrangian density of a self-dual bosonic system. In the derivation of the full set of the above transformations, we invoke the (dual-)horizontality conditions, (anti-)BRST and (anti-)co-BRST invariant restrictions on the superfields that are defined on the (2, 2)-dimensional supermanifold. The latter is parameterized by the bosonic variable x^μ\,(μ= 0,\, 1) and a pair of Grassmanian variables θand \barθ(with θ^2 = \barθ^2 = 0 and θ\barθ+ \barθθ= 0). The dynamics of this system is such that, instead of the full (2, 2) dimensional superspace coordinates (x^μ, θ, \barθ), we require only the specific (1, 2)-dimensional super-subspace variables (t, θ, \barθ) for its description. This is a novel observation in the context of superfield approach to BRST formalism. The application of the dual-horizontality condition, in the derivation of a set of proper (anti-)co-BRST symmetries, is also one of the new ingredients of our present endeavor where we have exploited the augmented version of superfield formalism which is geometrically very intuitive.

LaTeX file, 27 pages, minor modifications, Journal reference is given

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• Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields
• Universal Superspace Unitary Operator and Nilpotent (Anti-)dual BRST Symmetries: Superfield Formalism
• Christ-Lee Model: Augmented Supervariable Approach