Publication Date:
2021-07-01
Description:
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.
Print ISSN:
1126-6708
Electronic ISSN:
1029-8479
Topics:
Physics
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