We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near horizon metric, gauge field strengths and the axion-dilaton field are identical to those obtained by Cardoso et. al. for a supersymmetric version of the theor...

Perturbiner, that is, the solution of field equations which is a generating function for tree form-factors in N = 3 (N = 4) supersymmetric Yang-Mills theory, is studied in the framework of twistor formulation of the N = 3 superfield equations. In the case, when all one-particle asymptotic states belong to the same N = 3 supermul-tiplet (without any restriction on kinematics), the solution is de...

We study the moduli space of vacua of four dimensional N = 1 and N = 2 supersymmetric gauge theories with the gauge groups Sp(2Nc), SO(2Nc) and SO(2Nc + 1) using the M theory fivebrane. Higgs branches of the N = 2 supersymmetric gauge theories are interpreted in terms of the M theory fivebrane and the type IIA s-rule is realized in it. In particular we construct the fivebrane configuration whic...

We review the construction of field operators of the N=1 supersymmetric Liouville theory in terms of the components of a quantized free superfield.

We embed the supersymmetry breaking mechanism in N = 1 SQCD of hepth/0602239 in a smooth superstring theory using D-branes in the background IR × SL(2)k=1/U(1) which smoothly captures the throat region of an intersecting NS5-brane configuration. A controllable deformation of the supersymmetric branes gives rise to the mass deformation of the magnetic SQCD theory on the branes. The consequent in...

Supersymmetric extension of the Deutsch’s quantum field theory is presented and a new solution of quantum information paradox via quantumfields ψ̄ψ condensate is presented.

Supersymmetric gauge theories have had a significant impact on our understanding of QCD and of field theory in general. The phases of N = 1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases in non-supersymmetric QCD is emphasized. It is described how duality in SQCD links many previously known duality transformations that were thought to be distinct, including Olive...

S-dualities in scale invariant N = 2 supersymmetric field theories are derived by embedding those theories in asymptotically free N = 2 theories with higher rank gauge groups. Sduality transformations on the coupling of the scale invariant theory follow from global symmetries acting on the Coulomb branch of the higher rank theory. Since these global symmetries are exact in the asymptotically fr...

We propose and study a supersymmetric version of the Janus domain wall solution of type IIB supergravity. Janus is dual to N = 4 super Yang Mills theory with a coupling constant that jumps across an interface. While the interface in the Janus field theory completely breaks all supersymmetries, it was found earlier that some supersymmetry can be restored in the field theory at the cost of breaki...

We analyze the gaugino condensation in the effective theory for N=1 SU(N) Supersymmetric QCD with Nf flavors. It is known that taking the vacuum expectation value of the matter field to be infinite, we can show that gaugino condensation can occur. At such a limit we should consider only pure supersymmetric Yang-Mills theory. But when we include an interaction term of order O( 1 v ), the situati...