Effect of the deformation operator in the D1D5 CFT

Abstract

The D1D5 CFT gives a holographic dual description of a near-extremal black hole in string theory. The interaction in this theory is given by a marginal deformation operator, which is composed of supercharges acting on a twist operator. The twist operator links together different copies of a free CFT. We study the effect of this deformation operator when it links together CFT copies with winding numbers M and N to produce a copy with winding M+N, populated with excitations of a particular form. We compute the effect of the deformation operator in the full supersymmetric theory, firstly on a Ramond-Ramond ground state and secondly on states with an initial bosonic or fermionic excitation. Our results generalize recent work which studied only the bosonic sector of the CFT. Our findings are a step towards understanding thermalization in the D1D5 CFT, which is related to black hole formation and evaporation in the bulk.

arXiv comment54 pages, 3 figures, v3: typos corrected

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Cited by in corpus (37)

• Entanglement Scrambling in 2d Conformal Field Theory
• Partition functions of the tensionless string
• Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
• Unitary 4-point correlators from classical geometries
• Lifting of D1-D5-P states
• AdS${}_3$ Holography at Dimension Two
• String dynamics in NS5-F1-P geometries
• Analyzing the squeezed state generated by a twist deformation
• 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
• Lifting of level-1 states in the D1D5 CFT
• BPS Chaos
• The OPE of bare twist operators in bosonic $S_N$ orbifold CFTs at large $N$
• Microstate Renormalization in Deformed D1-D5 SCFT
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• One-Loop Transition Amplitudes in the D1D5 CFT
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Toroidal Tidal Effects in Microstate Geometries
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Component twist method for higher twists in D1D5 CFT
• Thermalization in the D1D5 CFT
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Non-extremal superdescendants of the D1D5 CFT
• 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 $N$
• Entanglement entropy in inhomogeneous quenches in AdS${}_3$/CFT${}_2$
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• The Dual of a Tidal Force in the D1D5 CFT
• Second order effect of twist deformation in the D1D5 CFT
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• The Resolved Elliptic Genus and the D1-D5 CFT