Deforming the D1D5 CFT away from the orbifold point

Abstract

The D1D5 brane bound state is believed to have an `orbifold point' in its moduli space which is the analogue of the free Yang Mills theory for the D3 brane bound state. The supergravity geometry generated by D1 and D5 branes is described by a different point in moduli space, and in moving towards this point we have to deform the CFT by a marginal operator: the `twist' which links together two copies of the CFT. In this paper we find the effect of this deformation operator on the simplest physical state of the CFT -- the Ramond vacuum. The twist deformation leads to a final state that is populated by pairs of excitations like those in a squeezed state. We find the coefficients characterizing the distribution of these particle pairs (for both bosons and fermions) and thus write this final state in closed form.

30 pages, 4 figures, Latex

References in corpus (67)

• 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
• Black Hole Greybody Factors and D-Brane Spectroscopy
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Comparing decay rates for black holes and D-branes
• Exact Counting of Black Hole Microstates
• 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
• Black Hole Solutions in Heterotic String Theory on a Torus
• Supergravity Microstates for BPS Black Holes and Black Rings
• Bubbling Supertubes and Foaming Black Holes
• Correlation functions for M^N/S_N orbifolds
• Dual geometries for a set of 3-charge microstates
• Gravity solutions for the D1-D5 system with angular momentum
• Three-point functions for M^N/S^N orbifolds with N=4 supersymmetry
• 3-charge geometries and their CFT duals
• Non-supersymmetric smooth geometries and D1-D5-P bound states
• Adding momentum to D1-D5 system
• Fuzzballs with internal excitations
• U(1) Charges and Moduli in the D1-D5 System
• A Stringy Cloak for a Classical Singularity
• Diagrams for Symmetric Product Orbifolds
• Mergers and Typical Black Hole Microstates
• 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
• Radiation from the non-extremal fuzzball
• The quantum structure of black holes
• Proving the PP-Wave/CFT_2 Duality
• Plumbing the Abyss: Black Ring Microstates
• Interactions involving D-branes
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• Can the effective string see higher partial waves?
• A Spin Chain for the Symmetric Product CFT_2
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model
• Smooth geometries with four charges in four dimensions
• Virasoro amplitude from the $S^N{\mathbb{R}}^{24}$ orbifold sigma model
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• PP-Wave / CFT_2 Duality
• The Foaming Three-Charge Black Hole
• General 2 charge geometries
• Non-supersymmetric microstates of the D1-D5-KK system
• Microscopic Theory of Black Hole Superradiance
• A class of BPS time-dependent 3-charge microstates from spectral flow
• One Ring to Rule Them All ... and in the Darkness Bind Them?
• A (Running) Bolt for New Reasons
• Emission from the D1D5 CFT
• Pair creation in non-extremal fuzzball geometries
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Emission from the D1D5 CFT: Higher Twists
• Absorption of angular momentum by black holes and D-branes
• Bubbles on Manifolds with a U(1) Isometry
• Stationary axisymmetric solutions of five dimensional gravity
• The slowly rotating near extremal D1-D5 system as a `hot tube'
• Non-extremal fuzzballs and ergoregion emission
• The Nuts and Bolts of Einstein-Maxwell Solutions
• Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
• Spectral Flow of the Non-Supersymmetric Microstates of the D1-D5-KK System
• On the gravitational stability of D1-D5-P black holes
• Black Ring Deconstruction

Cited by in corpus (62)

• Entanglement Scrambling in 2d Conformal Field Theory
• D1-D5-P microstates at the cap
• Excitations in the deformed D1D5 CFT
• Superdescendants of the D1D5 CFT and their dual 3-charge geometries
• The flaw in the firewall argument
• Phase transitions in symmetric orbifold CFTs and universality
• Effect of the deformation operator in the D1D5 CFT
• The information paradox and the infall problem
• Moulting Black Holes
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Lifting of D1-D5-P states
• Effect of the twist operator in the D1D5 CFT
• AdS${}_3$ Holography at Dimension Two
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Evolution of entanglement entropy in the D1-D5 brane system
• Quantitative approaches to information recovery from black holes
• Twist-nontwist correlators in M^N/S_N orbifold CFTs
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
• Lifting at higher levels in the D1D5 CFT
• Analyzing the squeezed state generated by a twist deformation
• 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
• Microstate Renormalization in Deformed D1-D5 SCFT
• Permutation Orbifolds and Chaos
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Firewalls in AdS/CFT
• The Stranger Things of Symmetric Product Orbifold CFTs
• 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
• Intertwining Relations for the Deformed D1D5 CFT
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Toroidal Tidal Effects in Microstate Geometries
• Multi-centered D1-D5 solutions at finite B-moduli
• New instability of non-extremal black holes: spitting out supertubes
• Transport across interfaces in symmetric orbifolds
• The large $N$ limit of OPEs in symmetric orbifold CFTs with $\mathcal{N}=(4,4)$ supersymmetry
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Thermalization in the D1D5 CFT
• Component twist method for higher twists in D1D5 CFT
• A model with no firewall
• A toy black hole S-matrix in the D1-D5 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
• Non-extremal superdescendants of the D1D5 CFT
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• 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
• Conformal field theories dual to quantum gravity with strongly coupled matter
• Second order effect of twist deformation in the D1D5 CFT
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• Holographic entanglement entropy beyond coherent states
• Black hole thermodynamics from decoherence
• AdS3 Holography for 1/4 and 1/8 BPS geometries
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Searching for strongly coupled AdS matter with multi-trace deformations