Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$

Abstract

We explore the Ramond sector of the deformed two-dimensional $\mathcal{N}=(4,4)$ superconformal $(T^4{)}^N/S_N$ orbifold theory, describing bound states of D1-D5 brane system in type IIB superstring. We derive the large-$N$ limit of the four-point function of two R-charged twisted Ramond fields and two marginal deformation operators at the free orbifold point. Specific short-distance limits of this function provide several structure constants, the OPE fusion rules and the conformal dimensions of a few non-BPS operators. The second order correction (in the deformation parameter) to the two-point function of the Ramond fields, defined as double integrals over this four-point function, turns out to be UV-divergent, requiring an appropriate renormalization of the fields. We calculate the corrections to the conformal dimensions of the twisted Ramond ground states at the large-$N$ limit. The same integral yields the first-order deviation from zero of the structure constant of the three-point function of two Ramond fields and one deformation operator. Similar results concerning the correction to the two-point function of bare twist operators and their renormalization are also obtained.

V1 - 47 pages, 3 figures; V2 - 48 pages, 3 figures; improved version; to appear in JHEP

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• Lifting at higher levels in the D1D5 CFT
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• AdS${}_3$ four-point functions from $\frac{1}{8}$-BPS states
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
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Cited by in corpus (8)

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• Universal lifting in the D1-D5 CFT
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• 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
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence