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arXiv · 2010.00172

Renormalization of Twisted Ramond Fields in D1-D5 SCFT$_2$

A. A. Lima·G. M. Sotkov·M. Stanishkov
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Abstract

We explore the Ramond sector of the deformed two-dimensional $\cal N = (4, 4)$ superconformal $(T^4)^N /S_N$ orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring. We derive the large-$N$ limit of the four-point function of two R-charged twisted Ramond fields and two marginal deformation operators at the free orbifold point. Specific short-distance limits of this function provide several structure constants, the OPE fusion rules and the conformal dimensions of a few non-BPS operators. The second order correction (in the deformation parameter) to the two-point function of the Ramond fields, defined as double integrals over this four-point function, turns out to be UV-divergent, requiring an appropriate renormalization of the fields. We calculate the corrections to the conformal dimensions of the twisted Ramond ground states at the large-$N$ limit. The same integral yields the first-order deviation from zero of the structure constant of the three-point function of two Ramond fields and one deformation operator. Similar results concerning the correction to the two-point function of bare twist operators and their renormalization are also obtained.

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A. A. Lima, G. M. Sotkov, M. Stanishkov. 2020-10-01. Renormalization of Twisted Ramond Fields in D1-D5 SCFT$_2$. https://doi.org/10.1007/jhep03(2021)202

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