Full action of two deformation operators in the D1D5 CFT

Abstract

We are interested in thermalization in the D1D5 CFT, since this process is expected to be dual to black hole formation. We expect that the lowest order process where thermalization occurs will be at second order in the perturbation that moves us away from the orbifold point. The operator governing the deformation off of the orbifold point consists of a twist operator combined with a supercharge operator acting on this twist. In a previous paper we computed the action of two twist operators on an arbitrary state of the CFT. In the present work we compute the action of the supercharges on these twist operators, thereby obtaining the full action of two deformation operators on an arbitrary state of the CFT. We show that the full amplitude can be related to the amplitude with just the twists through an action of the supercharge operators on the initial and final states. The essential part of this computation consists of moving the contours from the twist operators to the initial and final states; to do this one must first map the amplitude to a covering space where the twists are removed, and then map back to the original space on which the CFT is defined.

arXiv comment48 pages, 2 figures

References in corpus (34)

• Gauge Theory Correlators from Non-Critical String Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• D-brane Approach to Black Hole Quantum Mechanics
• The D1/D5 System And Singular CFT
• Black Hole Greybody Factors and D-Brane Spectroscopy
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Comparing decay rates for black holes and D-branes
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Correlation functions for M^N/S_N orbifolds
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• U(1) Charges and Moduli in the D1-D5 System
• Diagrams for Symmetric Product Orbifolds
• Instanton Strings and HyperKaehler Geometry
• Black Hole Collapse in the 1/c Expansion
• Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
• Absorption vs Decay of Black holes in string theory and T-symmetry
• Proving the PP-Wave/CFT_2 Duality
• Interactions involving D-branes
• A Spin Chain for the Symmetric Product CFT_2
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model
• Virasoro amplitude from the $S^N{\mathbb{R}}^{24}$ orbifold sigma model
• Deforming the D1D5 CFT away from the orbifold point
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• PP-Wave / CFT_2 Duality
• Hawking from Catalan
• Excitations in the deformed D1D5 CFT
• Effect of the deformation operator in the D1D5 CFT
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Effect of the twist operator in the D1D5 CFT
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• Analyzing the squeezed state generated by a twist deformation
• One-Loop Transition Amplitudes in the D1D5 CFT

Cited by in corpus (18)

• Lifting of D1-D5-P states
• String dynamics in NS5-F1-P geometries
• Lifting at higher levels in the D1D5 CFT
• Lifting of level-1 states in the D1D5 CFT
• The OPE of bare twist operators in bosonic $S_N$ orbifold CFTs at large $N$
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• 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
• Thermalization in the D1D5 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
• Entanglement entropy in inhomogeneous quenches in AdS${}_3$/CFT${}_2$
• 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
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence