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Correlation Functions in the TsT/ Correspondence
We investigate the proposed holographic duality between the TsT
transformation of IIB string theory on AdS with NS-NS flux
and a single-trace deformation of the symmetric orbifold CFT. We
present a non-perturbative calculation of two-point correlation functions using
string theory and demonstrate their consistency with those of the
deformation. The two-point correlation function of the deformed theory on the
plane, written in momentum space, is obtained from that of the undeformed
theory by replacing with , where is
the spacetime conformal weight, is a deformation parameter,
and are the momenta, and labels the twisted sectors in the
deformed symmetric product. At , the non-perturbative result satisfies the
Callan-Symanzik equation for double-trace deformed CFT derived in
\cite{Cardy:2019qao}. We also perform conformal perturbations on both the
worldsheet CFT and the symmetric orbifold CFT as a sanity check. The
perturbative and non-perturbative matching between results on the two sides
provides further evidence of the conjectured TsT/ correspondence.Comment: 35 page
Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted Kagom\'{e} lattice
The two-dimensional Ising model on a distorted Kagom\'{e} lattice is studied
by means of exact solutions and the tensor renormalisation group (TRG) method.
The zero-field phase diagrams are obtained, where three phases such as
ferromagnetic, ferrimagnetic and paramagnetic phases, along with the
second-order phase transitions, have been identified. The TRG results are quite
accurate and reliable in comparison to the exact solutions. In a magnetic
field, the magnetization (), susceptibility and specific heat are studied by
the TRG algorithm, where the plateaux are observed in the magnetization
curves for some couplings. The experimental data of susceptibility for the
complex Co(N)(bpg) DMF are fitted with the TRG results,
giving the couplings of the complex and
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