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arXiv · 2006.16303

Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT$_2$

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

We study two families of composite twisted Ramond fields (made by products of two operators) in the $\cal {N}=(4,4)$ supersymmetric D1-D5 SCFT$_2$ deformed by a marginal modulus operator away from its $(T^4)^N/ S_N$ free orbifold point. We construct the large-$N$ contributions to the four-point functions with two composite operators and two deformation fields. These functions allow us to derive short-distance OPE limits and to calculate the anomalous dimensions of the composite operators. We demonstrate that one can distinguish two sets of composite Ramond states with twists $m_1$ and $m_2$: protected states, for which $m_1+m_2=N$, and "lifted" states for which $m_1+m_2<N$. The latter require an appropriate renormalisation. We also derive the leading order corrections to their two-point functions, and to their three-point functions with the deformation operator.

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A. A. Lima, G. M. Sotkov, M. Stanishkov. 2020-06-29. Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT$_2$. https://doi.org/10.1103/physrevd.102.106004

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