Off-shell invariant D = N = 2 twisted super Yang-Mills theory with a gauged central charge without constraints

Abstract

We formulate N=2 twisted super Yang-Mills theory with a gauged central charge by superconnection formalism in two dimensions. We obtain off-shell invariant supermultiplets and actions with and without constraints, which is in contrast with the off-shell invariant D=N=4 super Yang-Mills formulation with unavoidable constraints.

Off-shell invariant super Yang-Mills with gauged central charges for N=D=2 and N=D=4: "Do we need a constraint ?"

“…The Dirac-Kaehler twisting procedure, however, has nice generalization to other dimensions. Especially for 2dimensional N=2 super Yang-Mills with central charge we found super connection ansatz where off-shell invariant super Yang-Mills can be formulated with and without a constraint [17].…”

“…where γ µ and γ 5 are properly chosen γ-matrices in 2-dimensions [17]. We call this supersymmetry algebra as Dirac-Kaehler twisted supersymmetry algebra [11,12,13].…”