Then we use the 2D-4D correspondence to show that the deformation of the complex structure of the conifold is associated with the emergence of a nonperturbative Higgs branch in 4D theory which opens up at strong coupling. Preserved supersymmetry for asymptotically locally AdS solutions implies the existence of a (charged) conformal Killing spinor on the boundary. We use a mirror description of the model to study the BPS kink spectrum and its transformations on curves (walls) of marginal stability. A bstractWe study superconformal and supersymmetric theories on Euclidean four- and three-manifolds with a view toward holographic applications. Its target space is given by the six-dimensional noncompact Calabi-Yau space Y 6, the conifold. To this end we study the conformal world-sheet theory on the non-Abelian string-the so-called weighted N = ( 2, 2 ) supersymmetric C P model. In particular, the lowest string state appears to be a massless Bogomol’nyi-Prasad-Sommerfield (BPS) “baryon.” Here we show the occurrence of this stringy baryon using a purely field-theoretic method. IA more accurate characterization is that the second approach is a slight extension of the rst. In spite of its high symmetry, the action at. of the ordering ambiguities of QFT in curved spaces was resolved by 3. phism invariance, global two-dimensional N (1, 1) supersymmetry and global spacetime Poincar invariance. 2d VOA coincides with the 6d (supersymmetric unsquashed) Cardy formula. A few comments: IIt is often stated that the two approches are distinct. AND GENERALIZED SUPERSYMMETRY IN CLIFFORD-SPACES. The spectrum of closed string states in the associated string theory was found and interpreted as a spectrum of hadrons in 4D N = 2 supersymmetric QCD. We also comment on moduli space flows on the tensor and mixed branches in 6d. It has recently been shown that these vortices behave as critical superstrings. We study non-Abelian vortex strings in four-dimensional (4D) N = 2 supersymmetric QCD with the U ( N = 2 ) gauge group and N f = 4 flavors of quark hypermultiplets.
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