We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract these vevs, we propose a gravity dual of a half supersymmetric deformation of N = 4 SYM (on Mink4...

Using the superembedding approach, the full supersymmetric effective field theory of the D9-brane, super Born-Infeld theory, is fixed by the so called F-constraint. The odd-odd components of the theory’s super field strength, fαβ, are implied by this constraint. Given fαβ, the super Bianchi identities imply the theory’s equations of motion. We calculate fαβ up to order 5 in fields, correspondin...

We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract these vevs, we propose a gravity dual of a half supersymmetric deformation of N = 4 SYM (on Mink4...

We investigate the perturbative part of Seiberg’s low-energy effective action of N = 2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the conventional effective field theory technique. Using the method of constant field approximation and restricting the effective action with at most two derivatives and not more than four-fermion couplings, we show some features of the low-energy effec...

We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a (2+1)-dimensional gauge theory. We show that there exist two complementary descriptions of the domain wall dynamics, resulting in the two mirror conformal field theor...

A general two–dimensional fractional supersymmetric conformal field theory is investigated. The structure of the symmetries of the theory is studied. Applying the generators of the closed subalgebra generated by (L −1, L0, G−1/(F+1)) and (L̄−1, L̄0, Ḡ−1/(F+1)), the two point functions of the component–fields of supermultiplets are calculated. Then the logarithmic superconformal field theories are...

We study brane recombination for supersymmetric configurations of intersecting branes in terms of the world-volume field theory. This field theory contains an impurity, corresponding to the degrees of freedom localized at the intersection. The Higgs branch, on which the impurity fields condense, consists of vacua for which the intersection is deformed into a smooth calibrated manifold. We show ...

We study deformed supersymmetry in N = 2 supersymmetric U(N) gauge theory in non(anti)commutative N = 1 superspace. Using the component formalism, we construct deformed N = (1, 1/2) supersymmetry explicitly. Based on the deformed supersymmetry, we discuss the C-dependence of the correlators. We also study the C-deformation of the instanton equation for the gauge group U(2). Supersymmetric field...

We study the central charge of the deformed N = (1, 0) supersymmetry algebra in non(anti)commutative N = 2 supersymmetric U(N) gauge theory. In the cases of N = 1/2 superspace and N = 2 harmonic superspace with the singlet deformation, we find that the central charge is deformed by the non(anti)commutative parameters but depends on the electric and magnetic charges. For generic deformation of N...