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We explore the superstring theory on AdS_3 x S^3 x T^4 in the framework given in hep-th/9806194. We argue on the Hilbert space of space-time CFT, and especially construct a suitable vacuum of this CFT from the physical degrees of freedom of the superstring theory in bulk. We first construct it explicitly in the case of p=1, and then present a proposal for the general cases of p>1. After giving some completion of the GKSs constructions of the higher mode operators (in particular, of those including spin fields), we also make some comparison between the space-time CFT and T^{4kp}/S_{kp} SCFT, namely, with respect to the physical spectrum of chiral primaries and some algebraic structures of bosonic and fermionic oscillators in both theories. We also observe how our proposal about the Hilbert space of space-time CFT leads to a satisfactory correspondence between the spectrum of chiral primaries of both theories in the cases of p>1.
One can derive a large class of new $mathcal{N}=1$ SCFTs by turning on $mathcal{N}=1$ preserving deformations for $mathcal{N}=2$ Argyres-Dougals theories. In this work, we use $mathcal{N}=2$ superconformal indices to get indices of $mathcal{N}=1$ SCF
We study the conformal bootstrap constraints for 3D conformal field theories with a $mathbb{Z}_2$ or parity symmetry, assuming a single relevant scalar operator $epsilon$ that is invariant under the symmetry. When there is additionally a single relev
We show that the three different looking BPS partition functions, namely the elliptic genus of the 6d $mathcal{N}=(1,0)$ $Sp(1)$ gauge theory with $10$ flavors and a tensor multiplet, the Nekrasov partition function of the 5d $mathcal{N}=1$ $Sp(2)$ g
We build a bridge between two algebraic structures in SCFT: a VOA in the Schur sector of 4d $mathcal{N}=2$ theories and an associative algebra in the Higgs sector of 3d $mathcal{N}=4$. The natural setting is a 4d $mathcal{N}=2$ SCFT placed on $S^3tim
We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4 superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension o