Microstate Renormalization in Deformed D1-D5 SCFT

Abstract

We derive the corrections to the conformal dimensions of twisted Ramond ground states in the deformed two-dimensional $\mathcal{N}=(4,4)$ superconformal $({\mathbb{T}}^4{)}^N/S_N$ orbifold theory describing bound states of the D1-D5 brane system in type IIB superstring theory. Our result holds to second order in the deformation parameter, and at the large $N$ planar limit. The method of calculation involves the analytic evaluation of integrals of four-point functions of two R-charged twisted Ramond fields and two marginal deformation operators. We also calculate the deviation from zero, at first order in the considered marginal perturbation, of the structure constant of the three-point function of two Ramond fields and one deformation operator.

12 pages, 2 figures; V2 - misprints corrected, references added, minor improvements in text; V3 - 17 pages, version accepted for publication in PLB

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• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Universal lifting in the D1-D5 CFT
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$
• 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