Correlation functions in topological Yang-Mills theory with two ferminionic charges

Observables in topological Yang-Mills theorieswith extended shift supersymmetry

“…7 Recall that all numbers such as form degree, SUSY number and ghost number, are nonnegative. As a general convention, any term which may appear with negative such numbers is understood to vanish.…”

“…This model is characterized by a shift invariance, or "shift supersymmetry", generated by a single scalar fermionic charge, which is interpreted as the BRST invariance describing the nonphysical character of the connection, with the result that only global "observables", namely the Donaldson invariants, are present. Generalizations to supersymmetry (SUSY) with N = 2 or more generators where already proposed some years ago in [5,6,7] and more recently in [8,9,10,11]. The construction of Lagrangian models for the gauge fixing of the shift supersymmetries may be found in [6] and, for arbitrary N and arbitrary space-time dimension, in [10,11].…”

“…The second summation in (4.12) is performed over all nonnegative values of the SUSY numbers sI , constrained by |S| = k, where |S| ≡ N I=1 sI 7. Recall that all numbers such as form degree, SUSY number and ghost number, are nonnegative.…”

Superspace gauge fixing of topological Yang-Mills theories

“…Partial results exist in the literature. In particular, a set of observables has been given in [8] for the case of N T = 2 in a 4-dimensional Kähler manifold. In the present paper we shall show a rather general set of observables, for any value of N T and any space-time dimension, however without determining if it represents the most general set.…”