Effect of the twist operator in the D1D5 CFT

Abstract

The D1D5 CFT has been very useful in the study of black holes. The interaction in this theory involves a twist operator, which links together different copies of a free CFT. For the bosonic fields, we examine the action of this twist when it links together CFT copies with winding numbers M and N to produce a copy with winding M+N. Starting with the vacuum state generates a squeezed state, which we compute. Starting with an initial excitation on one of the copies gives a linear combination of excitations on the final state, which we also compute. These results generalize earlier computations where these quantities were computed for the special case M=N=1. Our results should help in understanding the thermalization process in the D1D5 CFT, which gives the dual of black hole formation in the bulk.

arXiv comment25 pages, 2 figures, v3: minor clarifications

References in corpus (39)

• Gauge Theory Correlators from Non-Critical String Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• The fuzzball proposal for black holes: an elementary review
• D-brane Approach to Black Hole Quantum Mechanics
• The D1/D5 System And Singular CFT
• AdS/CFT duality and the black hole information paradox
• Comparing decay rates for black holes and D-branes
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• The fuzzball proposal for black holes
• Statistical interpretation of Bekenstein entropy for systems with a stretched horizon
• Correlation functions for M^N/S_N orbifolds
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• 3-charge geometries and their CFT duals
• Adding momentum to D1-D5 system
• Black Holes as Effective Geometries
• U(1) Charges and Moduli in the D1-D5 System
• Global Structure of Five-dimensional BPS Fuzzballs
• Diagrams for Symmetric Product Orbifolds
• Constructing "hair" for the three charge hole
• Instanton Strings and HyperKaehler Geometry
• Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
• Four Dimensional Black Hole Microstates: From D-branes to Spacetime Foam
• Absorption vs Decay of Black holes in string theory and T-symmetry
• Proving the PP-Wave/CFT_2 Duality
• A Spin Chain for the Symmetric Product CFT_2
• 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
• Supersymmetric Solutions in Six Dimensions: A Linear Structure
• PP-Wave / CFT_2 Duality
• Rotating deformations of AdS_3\times S^3, the orbifold CFT and strings in the pp-wave limit
• Double, Double Supertube Bubble
• Excitations in the deformed D1D5 CFT
• New D1-D5-P geometries from string amplitudes
• Black Holes and Beyond
• Adding momentum to supersymmetric geometries
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Oscillating supertubes and neutral rotating black hole microstates
• Intertwining Relations for the Deformed D1D5 CFT

Cited by in corpus (29)

• Holographic description of non-supersymmetric orbifolded D1-D5-P solutions
• Effect of the deformation operator in the D1D5 CFT
• Lifting of D1-D5-P states
• AdS${}_3$ Holography at Dimension Two
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• 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 $N$
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• One-Loop Transition Amplitudes in the D1D5 CFT
• Toroidal Tidal Effects in Microstate Geometries
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Thermalization in the D1D5 CFT
• Component twist method for higher twists in D1D5 CFT
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• 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 $N$
• The Dual of a Tidal Force in the D1D5 CFT
• Second order effect of twist deformation in the D1D5 CFT
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure