Dynamics of R-neutral Ramond fields in the D1-D5 SCFT

Abstract

We describe the effect of the marginal deformation of the $\mathcal{N}=(4,4)$ superconformal $(T^4{)}^N/S_N$ orbifold theory on a doublet of R-neutral twisted Ramond fields, in the large-$N$ approximation. Our analysis of their dynamics explores the explicit analytic form of the genus-zero four-point function involving two R-neutral Ramond fields and two deformation operators. We compute this correlation function with two different approaches: the Lunin-Mathur path-integral technique and the stress-tensor method. From its short distance limits, we extract the OPE structure constants and the scaling dimensions of non-BPS fields appearing in the fusion. In the deformed CFT, at second order in the deformation parameter, the two-point function of the $n$-twisted Ramond fields is UV-divergent. We perform an appropriate regularization, together with a renormalization of the undeformed fields, obtaining finite, well-defined corrections to their two-point functions and their bare conformal weights, for $n<N$. The fields with maximal twist $n=N$ remain protected from renormalization, with vanishing anomalous dimensions.

arXiv comment27 pages, 1 figure; V2 - corrected and improved version; V3 - 37 pages, 1 figure; extended, improved version; new discussions and references added; to appear in JHEP

References in corpus (58)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• The fuzzball proposal for black holes: an elementary review
• AdS3 Black Holes and a Stringy Exclusion Principle
• The D1/D5 System And Singular CFT
• AdS/CFT duality and the black hole information paradox
• Microscopic Formulation of Black Holes in String Theory
• The fuzzball proposal for black holes
• The Worldsheet Dual of the Symmetric Product CFT
• Correlation functions for M^N/S_N orbifolds
• Dual geometries for a set of 3-charge microstates
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• 3-charge geometries and their CFT duals
• Smooth horizonless geometries deep inside the black-hole regime
• Habemus Superstratum! A constructive proof of the existence of superstrata
• Fuzzballs with internal excitations
• U(1) Charges and Moduli in the D1-D5 System
• Diagrams for Symmetric Product Orbifolds
• What is the gravity dual of a chiral primary?
• Holographic anatomy of fuzzballs
• A non-renormalization theorem for chiral primary 3-point functions
• Geometry of D1-D5-P bound states
• Asymptotically-flat supergravity solutions deep inside the black-hole regime
• A Spin Chain for the Symmetric Product CFT_2
• String theory on ${\text{AdS}}_3$ and the symmetric orbifold of Liouville theory
• D1-D5-P microstates at the cap
• Virasoro amplitude from the $S^N{\mathbb{R}}^{24}$ orbifold sigma model
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model
• Deforming the D1D5 CFT away from the orbifold point
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Matching of correlators in AdS_3/CFT_2
• Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
• Excitations in the deformed D1D5 CFT
• Superdescendants of the D1D5 CFT and their dual 3-charge geometries
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Correlators of the symmetric product orbifold
• Effect of the deformation operator in the D1D5 CFT
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Emission from the D1D5 CFT: Higher Twists
• Lifting of D1-D5-P states
• Holographic 4-point correlators with heavy states
• AdS${}_3$ Holography at Dimension Two
• Early Scrambling and Capped BTZ Geometries
• From Symmetric Product CFTs to ${\mathrm{AdS}}_3$
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• Lifting at higher levels in the D1D5 CFT
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• Full action of two deformation operators in the D1D5 CFT
• The Regge limit of AdS${}_3$ holographic correlators
• Lifting of level-1 states in the D1D5 CFT
• The OPE of bare twist operators in bosonic $S_N$ orbifold CFTs at large $N$
• Conformal Perturbation Theory for Twisted Fields
• Microstate Renormalization in Deformed D1-D5 SCFT
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• Lifting 1/4-BPS States on K3 and Mathieu Moonshine
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface

Cited by in corpus (6)

• Universal lifting in the D1-D5 CFT
• 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