Using MacDowell-Mansouri theory, in this work, we investigate a superfield description of the self-dual supergravity a la Ashtekar. We find that in order to reproduce previous results on supersymmetric Ashtekar formalism, it is necessary to properly combine the supersymmetric field-strength in the Lagrangian. We argue that our procedure can be extended to the case of supersymmetric Ashtekar for...

We give a recipe relating holomorphic quantities in supersymmetric field theory to their descendants in non-supersymmetric Z2 orbifold field theories. This recipe, consistent with a recent proposal of Strassler, gives exact results for bifermion condensates, domain wall tensions and gauge coupling constants in the planar limit of the orbifold theories.

We discuss d = 1,N = 2 supersymmetric matrix models and exhibit the associated d = 2 collective field theory in the limit of dense eigenvalues. From this field theory we construct, by the addition of several new fields, a d = 2 supersymmetric effective field theory, which reduces to the collective field theory when the new fields are replaced with their vacuum expectation values. This effective...

The Hamiltonian in Supersymmetric Quantum Mechanics is defined in terms of charges that obey the same algebra as that of the generators of supersymmetry in field theory. The consequences of this symmetry for the spectra of the component parts that constitute the supersymmetric system are explored. The implications of supersymmetry for the solutions of the Schrödinger equation, the Dirac equatio...

The free energy density of $\mathcal{N}=4$ supersymmetric Yang-Mills theory in four space-time dimensions is derived through second order the 't Hooft coupling $\ensuremath{\lambda}$ at finite temperature using effective-field methods. contributions to this come from hard scale $T$ and soft $\sqrt{\ensuremath{\lambda}}T$. effects are encoded coefficients an effective three-dimensional field tha...

The curves that describe the M-theoretic extension of type IIA string configurations with non-supersymmetric field theories on their surface exhibit a duality map. The map suggests a continued link between a SU(N) gauge theory with F flavours and an SU(F − N) gauge theory with F flavours (the duality of supersymmetric QCD) even when the gaugino mass is taken to infinity. Within the context of t...