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

Abstract

We study two families of composite twisted Ramond fields (made by products of two operators) in the $\mathcal{N}=(4,4)$ 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.

26 pages; V2: 29 pages, corrected and improved version; V3: 35 pages, misprints corrected, comments added in the conclusion, to appear in PRD

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Cited by in corpus (13)

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• Worldsheet Correlators in Black Hole Microstates
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Worldsheet computation of heavy-light correlators
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Mellin amplitudes for $Ad{S}_3\times S^3$
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence