Twist-nontwist correlators inMN/SNorbifold CFTs

2012/11/30 by Benjamin A. Burrington, Amanda W. Peet, Ida G. Zadeh · 37 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.87.106008

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 87(10) (American Physical Society) · 30 pages, 1 figure, additional reference added

arxiv created 2013/02/15 · openalex publication_date 2013/05/23 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 nontwist 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.

Citations

• Virasoro amplitude from theS N R24-orbifold sigma model
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• The quantum structure of black holes
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• Strings on orbifolds
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• The fuzzball proposal for black holes: an elementary review
• Using the D1D5 CFT to Understand Black Holes
• Instanton strings and hyper-Kähler geometry
• The large N limit of superconformal field theories and supergravity
• Supersymmetric Mechanics -- Vol. 3: Attractors and Black Holes in Supersymmetric Gravity

Cited by

• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Operator mixing for string states in the D1-D5 CFT near the orbifold point