Twist-nontwist correlators in M^N/S_N orbifold CFTs

Abstract

We consider general 2D orbifold CFTs of the form M^N/S_N, with M a target space manifold and S_N the symmetric group, and generalize the Lunin-Mathur covering space technique in two ways. First, we consider excitations of twist operators by modes of fields that are not twisted by that operator, and show how to account for these excitations when computing correlation functions in the covering space. Second, we consider non-twist sector operators and show how to include the effects of these insertions in the covering space. We work two examples, one using a simple bosonic CFT, and one using the D1-D5 CFT at the orbifold point. We show that the resulting correlators have the correct form for a 2D CFT.

30 pages, 1 figure, additional reference added

References in corpus (9)

• The fuzzball proposal for black holes
• Black Holes as Effective Geometries
• D1-D5-P microstates at the cap
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Emission from the D1D5 CFT
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Black Holes, Black Rings and their Microstates
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Cited by in corpus (21)

• Entanglement Scrambling in 2d Conformal Field Theory
• Bounding the Space of Holographic CFTs with Chaos
• The flaw in the firewall argument
• Operator mixing for string states in the D1-D5 CFT near the orbifold point
• Lifting of D1-D5-P states
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• 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
• Universal lifting in the D1-D5 CFT
• Permutation Orbifolds and Chaos
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• 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 $N$
• 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
• AdS3 Holography for 1/4 and 1/8 BPS geometries