tensor method
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2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
A. A. Lima ◽  
G. M. Sotkov ◽  
M. Stanishkov

Abstract We describe the effect of the marginal deformation of the $$ \mathcal{N} $$ N = (4, 4) super-conformal (T4)N/SN orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-N approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the n-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for n < N. The fields with maximal twist n = N remain protected from renormalization, with vanishing anomalous dimensions.


Soft Matter ◽  
2021 ◽  
Author(s):  
Jagroop Kaur ◽  
Debabrata Deb

The interfacial properties of confined thermotropic liquid crystalline material {\color{red} are} investigated using {\color{red} the} molecular dynamics simulation technique. The pairwise interaction among {\color{red}the} soft ellipsoidal particles is modeled by...


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