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In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $frac{SL(2,mathbb{R})_ktimes U(1)}{U(1)}times S^3 times T^4$ with $SL(2,mathbb{R})$ WZW level $kgeq 2$, (ii) the full near horizon theory of the NS5 branes with $k$ NS5 branes wrapping $T^4times S^1$, $pgg1$ F1 strings wrapping $S^1$ and $n$ units of momentum along the $S^1$ and (iii) the single trace $Tbar{T}$ deformation of string theory in $AdS_3times S^3times T^4$. As a check we compute the spectrum of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace $Tbar{T}$ deformed string theory in $AdS_3$. Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.
We introduce a spin chain based on finite-dimensional spin-1/2 SU(2) representations but with a non-hermitian `Hamiltonian and show, using mostly analytical techniques, that it is described at low energies by the SL(2,R)/U(1) Euclidian black hole Con
The parity-preserving $U_A(1)times U_a(1)$ massive QED$_3$ is ultraviolet finiteness -- exhibits vanishing $beta$-functions, associated to the gauge coupling constants (electric and pseudochiral charges) and the Chern-Simons mass parameter, and all t
We study the origin of electroweak symmetry under the assumption that $SU(4)_{rm C} times SU(2)_{rm L} times SU(2)_{rm R}$ is realized on a five-dimensional space-time. The Pati-Salam type gauge symmetry is reduced to $SU(3)_{rm C} times SU(2)_{rm L}
We first derive the boundary theory from the U(1) Chern-Simons theory. We then introduce the Wilson line and discuss the effective action on an $n$-sheet manifold from the back-reaction of the Wilson line. The reason is that the U(1) Chern-Simons the
We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor $ u=1$ in the lowest Landau level. We consider short-range interactions within and between the two layers, a