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Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT$_2$ by Lima, A. A.; Sotkov, G. M.; Stanishkov, M. is a scholarly article available to read on EtoBox.

What is Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT$_2$ about?

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.

Author

Lima, A. A.; Sotkov, G. M.; Stanishkov, M.

Published

2020

Language

EN