Correlation functions of composite Ramond fields in deformed D1D5 orbifold SCFT$_2$
Abstract
We study two families of composite twisted Ramond fields (made by products of two operators) in the $\cal {N}=(4,4)$ supersymmetric D1D5 SCFT$_2$ deformed by a marginal moduli operator away from its $(T^4)^N/ S_N$ free orbifold point. We construct the large $N$ contributions to the fourpoint functions of two such composite operators and two deformation fields. These functions allow us to derive various shortdistance 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 twopoint functions, and to their threepoint functions with one marginal moduli operator.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 arXiv:
 arXiv:2006.16303
 Bibcode:
 2020arXiv200616303L
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 26 pages